Find the slope and y-intercept for the line.
Slope=
y-intercept = (0,

By graphing both equations and finding where the graphs intercept, we can see that the solution for the system is x = 3.

Here we have the functions:

f(x) = -2x +4

g(x) = 2x - 8

We want to find the value of x such that:

f(x) = g(x).

If we graph the two functions, we just need to identify the x-value of the point where the functions intercept.

The graph can be seen in the image below.

There we can see that the graphs intercept at (3, -2), meaning that the solution of:

f(x) = g(x) is x = 3.

Which is the same thing that if we write:

f(x) = g(x)

-2x + 4 = 2x - 8

4x = 12

x = 12/4 = 3

x = 3

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substitute the given values in the formula of (BAC) we have

Remember

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

so

step 1

solve the multiplication

48*3.2=153.6

substitute

step 2

Solve the division

153.6/160=0.96

substitute

step 3

solve the multiplication

3*0.015=0.045

substitute

step 4

solve the subtraction

0.96-0.045=0.915

Answer:

3.204

Step-by-step explanation:

3 + 0.2 +  0.004

Answer:  there 3,000 total milliliters accourding to my calculation

there for your looking for 60% so your answer should be 1800 since 60% of 3,000 is 1800

1800 ML = 60%

Step-by-step explanation:

the math is above

Answer:

Perpendicular

Step-by-step explanation:

It js seems right. i did one very similar and the awnser was Perpendicular

Answer:

Step-by-step explanation:

divide 7.2 by 2 so you have an hourly rate. Then you have 3.6, multiply that by 7 to get 25.2. Assuming its not in km cause that wouldn't make sense you would just have to convert it into whichever unit it would take

The time taken for the bomb to fall to the ground is 2.5 sec.

Given:

Height (h) = 50 m

Horizontal velocity(u) = 20 m/s

Time (t) =?

We use, h = ut to determine the time

50 = 20 × t

Divide both sides by 20,

t = 50 / 20

t = 5/2 s ≅ 2.5 sec

Thus, the bomb will take 2.5 sec to land on the ground.

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The complete question is: "A bomb is projected horizontally downward from a height of 50m with a velocity of 20m/s. Calculate the time taken for the bomb to fall to the ground."

Answer:

Step-by-step explanation:

Given that:-

Since, Serving of 1 pancakes takes 2/3 cups of milk

Hence, serving of 24 pancakes takes (2/3)*24

                                                    =48/3

                                                   =16

So that; 16 cups of milk are required for serving of 24 pancakes.

Answer:

16 cups of milk

Step-by-step explanation:

Make a proportion

[tex]\frac{serrvings}{cups of milk}[/tex] = [tex]\frac{servings }{cups of milk}[/tex]

[tex]\frac{1}{\frac{2}{3} }[/tex] = [tex]\frac{24}{x}[/tex]  cross multiply and solve

1x = [tex]\frac{2}{3}[/tex][tex](\frac{24}{1})[/tex]       1x is the same a x.  24 is the same as [tex]\frac{24}{1}[/tex]

x = [tex]\frac{48}{3}[/tex]

x = 16

Answer:

I believe it is B.

Step-by-step explanation:

When you solve B, you get the expression that you are supposed to factor.

From the following figures, we have that:

a) The sequence of transformations that maps triangle ABC to triangle A''B''C'' is given by:

b) The rules are given as follows:

The transformations used in this problem are as follows:

For this problem, the orientation of the triangle changed, with the C at the bottom of the triangle being transformed into C'' at the top of the transformed triangle, hence the figure was reflected over the x-axis, and the rule is:

(x,y) -> (x, -y).

After the reflection, the coordinates of C' are given as follows:

C' (-4, -1).

The final coordinates of C'' are given as follows:

C'' (7, 0).

Meaning that it was translated 11 units right and 1 unit up, and the rule is given by:

(x,y) -> (x + 11, y + 1).

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The median of a set of numbers is the number that appears in the middle after arranging the set of numbers in ascending or descending order

Step 1:Arrange the given values in ascending order.

Step 2. Find the number of observations in the given set of data. It is denoted by n.

Step 3. If n is odd, the median equals the [(n+1)/2]th observation.

The set of numbers given in the question are

By rearranging the numbers in ascending order, we will have

The numbers are 7 in number that is

Since the value of N is an odd number, then the median will be calculated using the formula below

The 4th number after arranging the set of numbers is

Hence,

The median of the set of numbers in the question = 11

Answer:

u - 6 + 13/u+3

Step-by-step explanation:

Have a good day :)

....................... .x=3

Answer:

16000

Step-by-step explanation:

Some of the similarities between sales tax and hotel tax include the following:

B) Both must be paid in advance when you make a hotel reservation.

C) Both are based on a percentage of the original cost.

Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.

In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:

In conclusion, we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.

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Answer:

slope :

Correct option - F

To graph the function using a table of values. The function is:

Since the root is even, because it is a square root, there is no Real values for

This already indicates that the probable correct alternative is C, however let's make the table to make sure.

The best way is to get x values that will easily get was f(x) values. Let's pick x = 0, x = 1 and x = 4:

So, the points (0,0), (1,1) and (4,2) should be in the line. This exclude alternatives A, B and D. In C we can see these points:

So, the graph of the given function is the one showed in option C

Yes, This situation represent a function.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The cost of each car = $40

The cost of each person = $8.50

Let the number of car = x

The number of persons in a car = z

Then, Total cost of car = $40x

Total cost of persons in car = $8.50z

So, Total cost (y) = $40x + $8.50z

Thus, The function for this situation is;

y = $40x $8.50z

Clearly, This is a linear function with three variable.

Thus, This situation represent a function.

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Answer:

(2)  The 3 was not distributed correctly.

3(x + 4) is the same as 3(x) + 3(4)  Which is 3x + 12 not 3x + 4

Step-by-step explanation:

Answer: The error was at the first step since 4 was never multiplied by 3, therefore the final answer would be incorrect.  

Step-by-step explanation:  3(x + 4) = 13

multiply 3 by everything in the parenthesis, so

3x + 12 = 13

subtract 12 from each side.

3x = 1

divide both sides by 3

x = 1/3 = 0.33

a. Solving for 'd' as the subject of formula gives d = P/64

b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

Given the function as;

P = 64d

Where;

Now, let's make the variable 'd' the subject of formula

Divide both sides of the equation with the coefficient of the variable 'd' which is 64. This is done so that the variable stands alone.

We have;

P/64 = 64d/64

d = P/ 64

If the pressure, P equals  672 pounds per square foot

Substitute the value of the variable into the formula, we have;

d = P/64

Then,

d = 672/64

Find the quotient

d = 10. 5 feet.

Thus, the value is 10. 5 feet

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Need more information to solve, but the standard rule is:

(f◦g)(x) = f(g(x))

(g◦f)(x) = g(f(x))

The required rational number is 7/11.

let the denominator be x.      

and since we are given that the numerator of a rational number is 4 less than its denominator, the numerator will be x-4.

working on the given condition, i.e. If I is added to both its numerator and denominator, it becomes 2/3

(x-4+1)/(x+1) = 2/3

further solving it by cross multiplication we get,

3(x-4+1)=2(x+1)

=> 3(x-3)=2x+2

=> 3x-9=2x+2

=> 3x-2x=9+2

=> x=11

=> x= 11 (denominator)

we know the numerator is 4 less than the denominator i.e.

11-4=7

thus the required fraction will be 7/11.

What are rational numbers?

A rational number is-" one that can be stated mathematically as the ratio or fraction p/q of two integers, p and q, which must both be non-zero".

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Answer:

$59.40

Step-by-step explanation:

54*0.10 (10%) = 5.4
5.4+54= 59.4
therefore, the price of the shoes without the discount is $59.40

Answer:

[tex]x=540[/tex]

Percents are a ratio of a number and 100. So they are easier to compare than fractions, as they always have the same denominator, 100.

[tex]{\text}To find this.[/tex]

[tex]{\text}Right the formula:[/tex]

10% of x = £54

[tex]{\text}Indicating 10 percent of something is the sale given for the pair of shoes 54.[/tex]

[tex]{\text}Then calculate:[/tex]

[tex]\frac{10x}{100} =54[/tex]

[tex]{\text}Using crisscross multiplication:[/tex]

[tex]x=540[/tex]

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Answer:

it's greater than one so it's value is not negative

and 3+4 is 7

so x is greater then 4 but less than 7

so it's b the correct option

Answer:

D. -2 < x < 1

Step-by-step explanation:

1 < x + 3 < 4

=

{1 < x + 3

{x + 3 < 4

=

{ 1 + ( -3 ) < ( x + 3 ) + ( -3 )

{ ( x + 3 ) + ( -3 ) < 4 + ( -3 )

=

{ 1 - 3 < x + 3 - 3

{ x + 3 - 3 < 4 - 3

=

{ -2 < x

{ x < 1

=

{ x > - 2

{ x < 1

Hence, the answer would be : -2 < x < 1

Hopes this helps!

Have a good day :)

Answer:

No, it's not function

Step-by-step explanation:

Every function is a relation but every relation is not a function because:

Function: a special type of relation in which the first-order pairs are different.

In this case {(-3,-4), ......., (-3,5)} these two sets have the same first-order pair.

So, your answer will be 'It's not function.'.

Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula is the quotient of the difference in y-values and the difference in x-values.

Answer:

59.40

Step-by-step explanation:

The system of inequalities is:

y < -4*x + 1

y ≥ (1/2)*x + 1

Here we can see two lines, one dashed that passes through (0, 1) and (-1, 5), then the slope is:

s = (5 - 1)/(-1 - 0) = -4

And the y-intercept is 1, then the inequality is:

y < -4*x + 1

The other line is solid, and the shaded region is above the line.

This line passes through (0, -1) and (2, 0), then the slope is:

s = (0  + 1)/(2 - 0) = 1/2

So the inequality is:

y ≥ (1/2)*x + 1

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Answer:

Step-by-step explanation:

The ages of the signers of the Declaration of Independence are shown. (Age is approximate since only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) Construct a grouped frequency distribution and a cumulative frequency distribution for the data using 7 classes. Limits Boundaries 27-33 26.5-33.5 7 41 54 47 40 39 35 50 37 49 42 70 32 44 52 39 50 40 30 34 69 39 45 33 42 44 63 60 27 42 34 50 42 52 38 36 45 35 43 48 46 31 27 55 63 46 33 60 62 35 46 45 34 53 50 50 34-40 33.5-40.5 14 41-47 40.5-47.5 15 48-54 11 47.5-54.5 54.5-61.5 55-61 3 62-68 61.5-68.5 3 69-75 68.5-75.5 55

we have

10x + 8 y = 20 ------> equation A

10 x + 2 y = -10 ​------> equation B

Multiply equation A by -1 both sides

so

-10x-8y=-20 -----> new equation A

Adds new equation A and equation B

\

--------------------

-8y+2y=-20-10

-6y=-30

y=5

Find the value of x

substitute the value of y in equation A or equation B or new equation A

10x + 8(5) = 20

10x+40=20

10x=20-40

10x=-20

x=-2

therefore