Let ƒ(x) = 8(1/4)^X+³ — 4.
The graph of f(x) is translated 4 units down to form the graph of g(x).

Answers

Answer 1

The function f(x) is translated by 4 units down to form a function g(x) will be written below.

[tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8\\[/tex]

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

[tex]f(x) = 8 \times \left (\dfrac{1}{4} \right )^{x^3} - 4[/tex]

Simplify the equation, then we have

[tex]f(x) = 8 \times \left (\dfrac{1}{4} \right )^{x^3} - 4\\\\\\f(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 4[/tex]

The function f(x) is translated by 4 units down to form a function g(x) will be given as,

[tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 4-4\\\\\\g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8[/tex]

The function f(x) is translated by 4 units down to form a function g(x) will be [tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8\\[/tex]. The graph is drawn below.

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Let (x) = 8(1/4)^X+ 4.The Graph Of F(x) Is Translated 4 Units Down To Form The Graph Of G(x).

Related Questions

Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random which color is likely to be chosen? Pls I need help it will mean the world to me have a good day thank u pls help


A.red
B.green
C.yellow
D.blue

Answers

D blue I think, it has the most tiles in the bag 17/40 while all the other fractions are smaller decreasing their chances

Write an equation in slope-intercept form (-5,-7);y=-2x+4

Answers

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

show that (2n-5)^2 - 13 is a multiple of 4 for all integers

Answers

Step-by-step explanation:

⭐ What does it mean for a number (x) to be a multiple of another number (y)?

If x is a multiple of y, then x is divisible by y.

Thus, we have to show that [tex](2n-5)^2 - 13[/tex] is divisible by 4.

Let's compute [tex](2n-5)^2 - 13[/tex]:

[tex](2n-5)^2[/tex] is the polynomial identity [tex](a-b)^2[/tex][tex](a-b)^2 = a^2 -2ab + b^2[/tex]

[tex](2n-5) ^2 = 4n^2 -20n + 25[/tex]

[tex]4n^2 - 20n + 25 -13[/tex]

[tex]4n^2 - 20n + 12[/tex]

[tex]4n^2 - 20n + 12[/tex] is the expression we have.

To see if this expression is divisible by 4, we need to divide [tex]4n^2 - 20n + 12[/tex] by 4 and have a remainder of 0.

Final answer:

The given equation (2n-5)² - 13 equals 4² - 20n + 12. Because each term in the simplified equation can be divided evenly by 4, it proves that the equation is indeed a multiple of 4, assuming n is an integer.

Explanation:

The problem is asking to show that the expression (2n-5)² - 13 is a multiple of 4 for all integers. To prove this, we need to expand and simplify the expression and then check whether it can be divided evenly by 4.

Let's start by expanding the expression:

(2n-5)² - 13 = 4n² - 20n + 25 - 13 = 4n² - 20n + 12

Now we can observe that all terms in the equation are divisible by 4:

4n²/4 = n², -20n/4 = -5n, and 12/4 = 3

Because all terms in the equation can be divided evenly by 4, we can say that the entire equation (2n-5)² - 13 is a multiple of 4, assuming n is an integer.

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Can someone help me with this? Please and thank you

Answers

The measures in this problem are given as follows:

1. x = 14.

2. m < 1 = 58º.

3. m < 2 = 122º.

How to obtain the measures?

Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.

When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:

m < 1 + m < 2 = 180

2x + 30 + 8x + 10 = 180

10x + 40 = 180

10x = 140

x = 140/10

x = 14.

Then the angle measures are obtained as follows:

m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.

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Find the least common denominator of
7
and
X+4 x-4

Answers

(X+4)(X-4) is the LCD because you just have to look at the denominators and see what factors or values are not already part of your LCD.

Solve this equation (Shown in the screenshot below)

Answers

Answer:

  x = {-2, 0, 2}

Step-by-step explanation:

You want the solutions to √((√(x²) -1)²) = 1.

Solution

Squaring both sides gives ...

  (√(x²) -1)² = 1² = 1

Taking the square root of both sides gives ...

  √(x²) -1 = ±1

Adding 1, we have ...

  √(x²) = 1 ± 1 = {0, 2}

We know that √(x²) = |x|, so this reduces to ...

  |x| = {0, 2}

  x = {±0, ±2}

  x = {-2, 0, 2}

__

Additional comment

For finding the solutions graphically, we like to plot the equation in the form f(x) = 0. The graphing calculator readily identifies the x-intercepts, which are the solutions.

A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)​

Answers

Answer:

Capacity = 9.63509

Step-by-step explanation:

V = πr²h

9.5 x 9.5 x 3.14 = 283.385

283.385 x 34 = 9,635.09

9,635.09 ÷ 1,000 = 9.63509

Please let me know if this helps.

(8k^3 - 19 k^2 + 2k + 10) /(k - 2) = ?

Answers

Answer: 8k^2 - 19k + 12

Step-by-step explanation: The way we found this answer was by simplifying the expression.

Step 1 : We want to get (x-2) in the numerator so we could cross it out with the x-2 at the bottom to get our simplified expression.

(8k^3-19k^2+2k+10)/(k-2) = (x-2)(8k^2-17k+5)/(x-2)

You would need to factor out the (x-2)

Step 2: When you cross the (x-2) above with the (x-2) below you end up with 8K^2-17k+5 as the answer.

Answer:

[tex]8k^2-3k-4+\frac{2}{k-2}[/tex]

Step-by-step explanation:

⭐ See the image I attached to my answer to see the working.

⭐ I recommend you look at the image while following along with the steps to understand the steps.

1. See what multiplies with the first term in the divisor to get the first term in the dividend. Then, put that answer in the quotient space.

2. Under the first term in the dividend, write a - sign and open parentheses. Put the first term inside the parentheses.

3. Multiply what you put in the quotient space from step #1 with the second term in the divisor.

4. Put the product from step #3 inside of the parentheses.

5. Subtract the first two terms in the parentheses from the first two terms in the dividend.

. . . . . . . . . . . . . note: in polynomial division, you will not always subtract two terms. we are subtracting two terms here because there are two terms in the divisor.

6. Write the answer from #5 under the parentheses, and bring down another term from the dividend.

7. See what multiplies with the first term in the dividend to get the answer from #5. Then, put that answer in the quotient space.

8. Under step #6, write a - sign and open parentheses. Put the answer from #5 inside the parentheses.

9. Multiply the answer from #7 with the second term in the divisor.

10. Next to the answer from step #8, write the product of step #9.

11. Subtract the terms from step #10 from step #6.

12. Repeat until you have "brought down" all of the terms from the dividend.

After you are done, your remainder will not be 0. Instead, it will be +2. When you have a remainder that isn't 0, you cannot use the quotient as your answer. Instead, you have to write your answer in this format:

[tex]q(x)+\frac{r(x)}{d(x)}[/tex], where q(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

⇒ q(x) = [tex]8k^2-3k-4[/tex]

⇒ r(x) = +2

⇒ d(x) = k -2

⇒ [tex]8k^2-3k-4+\frac{2}{k-2}[/tex]

Serena forms a random sample of 200 seventh graders from her school to learn which type of school lunch they most prefer. The results of her survey are shown below.

Food Type Chicken Nuggets Tacos Spaghetti
Number of students 87 86 27


Which is the best inference you can form based on the data? (3 points)



a
Chicken nuggets and tacos were almost liked the same amount

b
Tacos are twice as popular as spaghetti.

c
Chicken nuggets is twice as popular as spaghetti.

d
Tacos were the students' top choice

Answers

Answer:

a

Step-by-step explanation:

86 and 87 are similar. Also none of the other answers are correct

25272 to egg egg egg rn do u do

I need help with my math homework

Answers

Look down below

Brainly pls

In triangle ABC acute angles are in the ratio 5:1, i.e.

Answers

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

Please help I’m really struggling!!!!!

Answers

9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

Please help I kind of understand but not fully

Answers

Answer:

Graph #1 - y=-20x+40

Graph #2 - y=5x+10

Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use

M = y2-y1/x2-x1

FROM GRAPH #1:

(3,40) (2,80)

(x1,y1)    (x2,y2)

   80-40/2-3

      20/-1

    M = -20

FROM GRAPH #2:

(1,10) (3,20)

(x1,y1)  (x2,y2)

  20-10/3-1

     10/2

    M = 5

2. Now once you find the slope you will use the equation of a line formula to form an equation.

y=mx+b

The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)

3. Since we now know the equation of a line and the slope we will substitute the variables.

Graph #1:

y=mx+b

y=-20x+40

Graph #2:

y=mx+b

y=5x+10

HOPE THIS HELPS :)

Solve |2x - 2 ≥ 6.
A. x≤-2 or x ≥ 4
B. x ≤3 or x ≥ 5
C. x ≤-2 or x ≥ 5
D. x ≤-2 or x ≥ 6

Answers

I believe the answer is D

pls help if you get it correct u will get 100 brainly points

Answers

Answer: -28

Step-by-step explanation:

Mutiply by 7 on both sides, it cancels out to the left and then -4 (7) equals -28 so n= -28

Answer:

-28

Step-by-step explanation:

Multiply both sides by 7

That cancel outs the denominator 7 out and multiples -4 to -28

now all that's left is 1n or just n = -28

ILL GIVE YOU BRAINLIEST PLEASE ANSWER

Answers

2*3.14*4*7+2*3.14*4^2=
276.32

Find the area of a circle with radius equal to 4.

Answers

the radius of circle is 4cm

22 by 7 ×4×4

22 by 7 × 4 = 50.24cm²

[tex]i \: think \: this \: is \: help \: full \: for \: you \: \\ \\ ]{?} [/tex]

PLEASE! An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?


A. 0.097 grams

B. 0.575 grams

C. 0.701 grams

D. 1.149 grams

E. 1.403 grams

Answers

THE ANSWER IS D. I JUST DID THIS LOL!!

help multipy
look at the picture ​

Answers

 The answer is -2x² + 8x + 54 = 0.

What is multiplication?

This refers to a method used to easily solve the task of repeated addition of the same number. It is used when we need to combine groups of equal sizes.

Given in the question:

[tex]\frac{2x +3 }{x^{2}-x}[/tex] *[tex]\frac{4x^{2 } +8x }{10x +30}[/tex]

Multiply the numerators and denominators and equate the two:

(2x + 3) * (4x² + 8x)= ( x² - x) * (10x + 30)

expanding further we have:

(2x + 3) * 4x² + (2x + 3) *8x = ( x² - x) * 10x + ( x² - x) *  30

8x³+12x² +16x² +24x= 10x³ -10x² + 30x² -30x

Resolving the left-hand side of the equation and the right-hand side and equating to zero we have:

8x³- 10x³ + 12x² +16x² +10x² -30x² +24x +30x

2x³ + 8x² + 54x = 0.

Divide through by x, we have:

[tex]\frac{-2x^{3} }{x}[/tex]  + [tex]\frac{8x^{2} }{x}[/tex] +    [tex]\frac{54x}{x}[/tex] = 0

-2x² + 8x + 54 = 0.

Hence the answer is-2x² + 8x + 54 = 0.

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r packages include sample datasets. they also include reusable r functions and documentation about how to use the functions. t/f

Answers

r packages include sample datasets. they also include reusable r functions and documentation about how to use the functions this statement is true.

What is function?

Function in math is a mathematical relationship between two variables where one is dependent on the other. This relationship can be expressed as an equation, graph, or table. Every input has one and only one output. This means that the output of a function is determined by the input given. Functions can be used to model real-world phenomena, helping us to make predictions and solve problems.
Packages offer a great way to save time and energy when working with data in r.
R packages are a great way to save time and energy when working with data in R. They provide a convenient way to access multiple datasets, functions, and documentation in one place. Additionally, many packages also contain sample data and code examples to help users quickly get up and running with their data analysis.
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how many possible outcomes are there?​

Answers

I can only see half the image

Can someone help me pls

Answers

Answer:

Okay so for this one use the Pythagorean theorem

Step-by-step explanation:

A^2 + 28^2 = 128^2

You are trying to find A.

So 28^2 is 784

128^2 is 16384

Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600

Now you find the square root of both sides which gives you: A= 124.89 round it to 125

create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. let p represent the price to mail a package that weighs x ounces. enter the second linear model simplified in the from p

Answers

The linear model that could be used to calculate cost of mailing a large envelope is L(x) = 0.88 + 0.2(x – 1) and used to calculate cost of mailing a package is P(x) = 1.71 + 0.17(x – 3). The weight at which the cost a large envelope and a package will cost the same amount to mail is 17 ounces.

Linear models are used to describe a continuous response variable as a function of one or more predictor variables. Let x be the weight in ounces and L be the cost of mailing a large envelope. Based on the provided information, the cost of mailing a large envelope increases with increasing weight. The cost of mailing one ounce is $0.88 and increased by $0.2 for each additional weight. Hence,

L(x) = 0.88 + 0.2(x – 1)

Let x be the weight in ounces and P be the cost of mailing a package. Based on the provided information, the cost of mailing a package remains the same for weight of 1 to 3 ounces at the cost of $1.71, and then increases by $0.17 for each additional weight. Hence,

P(x) = 1.71 + 0.17(x – 3)

The weight at which a large envelope and a package will cost the same amount to mail is determined by equating the two models.

L(x) = P(x)

0.88 + 0.2(x – 1) = 1.71 + 0.17(x – 3)

0.88 + 0.2x – 0.2 = 1.71 + 0.17x – 0.51

0.68 + 0.2 x = 0.17 x + 1.2

0.2x – 0.17x = 1.2 – 0.68

0.03x = 0.52

x = 17.33 ≈ 17 ounces

Note: The question is incomplete. The complete question probably is: Provided table indicates the U.S. Postal Rates for large envelopes and packages of different weights. a) Create a linear model that could be used to calculate the cost to mail a large envelope, given its weight in ounces. Use L to represent the cost to mail a large envelope and x to represent the envelope weight in ounces. Create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. Use P to represent the cost to mail a package and x to represent the package weight in ounces. Find the weight at which a large envelope and a package will cost the same amount to mail, assuming your linear models still apply to higher weights.

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Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)

Answers

Answer:

hi the anser might be 600$

Step-by-step explanation:

Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Given: ∠ABC ≅ ∠DCB; ∠DBC ≅ ∠ACB​

Answers

Answer:

[tex]\triangle ABC \cong \triangle DCB[/tex] by ASA

Step-by-step explanation:

[tex]\overline{BC} \cong \overline{BC}[/tex], so [tex]\triangle ABC \cong \triangle DCB[/tex] by ASA.

A system of equations is shown.

x = -2y - 3.5

-5x + 3y = -15

What is the value of x + y?



Show all work to receive full credit for this question. You may show your work by writing in the text box or by taking a picture of your work and uploading it use the embed image button.

Answers

The value of the variable x and y will be 1.5 and -2.5, respectively. Then the value of the expression (x + y) will be negative 1.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A system of equations is given below.

x = -2y - 3.5       ...1

-5x + 3y = -15    ...2

From equations 1 and 2, then we have

-5(-2y - 3.5) + 3y = -15

10y + 17.5 + 3y = - 15

13y = -32.5

y = - 2.5

Then the value of the variable 'x' is calculated as,

x = - 2(-2.5) - 3.5

x = 5 - 3.5

x = 1.5

Then the value of the expression (x + y) is calculated as,

x + y = 1.5 + (-2.5)

x + y = 1.5 - 2.5

x + y = - 1

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pls help me i will mark brainliest:)
Simplify −5g(3g + 4).

−15g + 4

−15g − 20g

−15g2 + 4

−15g2 − 20g

Answers

(-5g X 3g)= -15g2
(-5g X +4)= -20g
Answer = -15g2-20g

Answer:

D = -15g² - 20g

-5g × 3g -5g×4

= -15g² -20g

# to put in ² when typing hold 2 for 5seconds...

#like please

Find the solution of the system of equations.

5x+y=-19

5x-4y=-24

Answers

The solution of the system of equations are x = -4 and y=1.

How to solve system of equations?

Look at substitution and elimination as two methods for algebraically solving systems of linear equations.To better comprehend when systems of linear equations have one solution, no solutions, or infinitely many solutions, let's look at systems of linear equations graphically.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.

5x+y=-19  -- (i)

5x-4y=-24 ---(ii)

Subtract the above two equations:

5y = 5

y = 1

Substitute y=1 in equation (ii)

5x - 4(1) = -24

5x = -20

x = -4

Hence, the solution of the system of equations are x = -4 and y=1.

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simplify the expression by distributing combining like terns 2x + 3(2x+1) ​

Answers

Answer:

3

Step-by-step explanation:

23

How many solutions will each system of linear equations have? Match the systems with the correct number of
solutions.
y=x+6 and 3x-3y = -18
y=-4x+11 and -6x + y = 11
y=-2x+5 and 2x + y = -7
infinitely many solutions
one solution
no solution

Answers

The correct answer is System 1: Infinitely many solutionsSystem 2: One solutionSystem 3: No solution

Let's analyze each system of linear equations and determine the number of solutions they have.

y = x + 6 and 3x - 3y = -18

In this system, the first equation is a linear equation in slope-intercept form, and the second equation is a linear equation in standard form. The two equations represent the same line. Since they are the same line, they intersect at infinitely many points. Therefore, this system has infinitely many solutions.

y = -4x + 11 and -6x + y = 11

Both equations in this system are in slope-intercept form. The slopes of the two lines are different (-4 and -6), indicating that the lines are not parallel. Since the lines are not parallel and have different slopes, they intersect at a single point. Therefore, this system has one solution.

y = -2x + 5 and 2x + y = -7

Both equations in this system are in slope-intercept form. The slopes of the two lines are equal (-2 and 2), but their y-intercepts are different. When the slopes are equal and the y-intercepts are different, the lines are parallel and do not intersect. Therefore, this system has no solution.

Matching the systems with the correct number of solutions:

System 1: Infinitely many solutions

System 2: One solution

System 3: No solution

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according to a pew research center study, in may 2011, 40% of all american adults had a smart phone (one which the user can use to read email and surf the internet). a communications professor at a university believes this percentage is higher among community college students. she selects 361 community college students at random and finds that 149 of them have a smart phone. then in testing the hypotheses: h 0 : p How are MS and atherosclerosis related? What is the difference between skin cells and nerve cells? Anthropography is a science by which we can: The American colonists based their fight for independence from Great Britain on the writings ofSelect one:a. Abraham Lincolnb. Thomas Hobbesc. John Locked. George Washington when parked in a parking lot, approach the vehicle from the , to observe people and objects around the vehicle When an object of ma m1 i hung on a vertical pring and et into vertical imple harmonic motion, itocillate at a frequency of 12. 0 Hz. When another object of ma m2 i hung on the pring along with thefirt object, the frequency of the motion i 4. 00 Hz. Find the ratio m2 /m1 of the mae Ill give BRAINLIEST if correct pls need ASAP Part A: given the function g(x) = |x+3| describe the graph of the function including the vertex domain and rangePart B: if the parent function f(x) = |x| is transformed to h(x) = |x| - 2 what Transformation occurs from f(x) to h(x) how are the vertex and range of h(x) affected Solve the following inequality.8x-5>13-x Are Horatio and Hamlet in love? What are some examples of argumentative paragraph? What is Swift suggesting about political disputes? How can we prove that at least one duplicate number must exist in Nums? Step 2: Create your mnemonic or mnemonics. Remember, a mnemonic is simply a tool to help you remember something. It can be a haiku poem, a rhyming song, a drawing with key words, or a short fantastical storyanything you can think of making that will help you remember the important parts of Japan's major historical eras. Don't overthink it! What is the first step of an enzymatic reaction? Which of these is ATP? Listen to the audio, read the question, and choose the correct answer.Based on the dialogue, what room are they in? La cocina El garaje El dormitorio La oficina For this project, we're going to take a closer look at one of your favorite foods to determine what government agency is responsible for inspection and safety of the food.Compile your findings into a paper of at least 800 words and be sure to include information about your favorite food that you've examined and any surprises you encountered as you researched the food. Your response must include: the favorite food that you're examining. the government agencies involved in the safety and inspection in each of the food's ingredients. a report of at least 800 words about the experience, what you learned, and any surprises that you learned from your project. What is the equation of the line in slope intercept form calculator? Why did John W. Boothhave access to Ford'sTheater on the night heassassinated PresidentAbraham Lincoln?A. He was a well-known actor inWashington D.C.B. He was impersonating a policeofficerC. He was an invited guest to thePresidential BoxD. He worked for the secret service