If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?

Answers

Answer 1

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

f∘g

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

g(-2)

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

f(g(-2))

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

If F(x)=8-10x And G(x) =5x +4, What Is The Value Of (fog)(-2)?

Related Questions

Can someone please help me with this? it's really important, ill give 10 points for this.

Answers

Answer:

ill answer

Step-by-step explanation:

but what is the question please make me brillianist

how old is someone, who is a million minutes old?

Explanation and work out pls

Answers

Answer:

1.93 or 2 years old

Step-by-step explanation:

First divide 1,000,000 by 60 to get the hours then by 24 to get the days then by 30 to get the months then by 12 to get the years.

Answer:

2 years old(Rounded)

Keys:

Ytv

Where Y is Years, m is minutes, and v is the default value for dividing minutes into years.

Step-by-step explanation:

Y = m ÷ v

m = 1,000,000

v = 525,600

m ÷ v = 1.903

If arc CE is 125°, what is the measure of angle CDE?

Answers

Check the picture below.

Answer:

A. 55

Step-by-step explanation:

MATH!!! Volume of prisms stuff

Answers

84m3 hope this helps lol

What is the end behavior of the function f(x)=−1/4x^2?

Answers

Answer:

As x approaches infinity, f(x) approaches negative infinity

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

and as the x values go towards the negatives, the y values go towards the negatives.

There is a set of 10 jobs in the printer queue. One of the jobs in the queue is called job A. How many ways are there for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish

Answers

The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

How to solve permutation and combination?

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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Which of the following choices is a reference angle to θ = 225º?
30 degrees
45 degrees
60 degrees
90 degrees

Answers

Answer:

45 degrees

Step-by-step explanation:

A reference angle can be found by identifying its terminal side and see by what angle the terminal side is close to the x-axis.

To do this, we can subtract this given angle by the nearest 90° angle.

270° is the closest.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \textsf{Reference angle = 270 - 225}[/tex]

[tex]\implies \textsf {45 degrees}[/tex]

The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given angle,

θ = 225°

It is going to the third quadrant as shown below,

The reference angle is the angle from x-axis.

The angle from the negative x-axis will be as,

180° + x = 225°

x = 225° - 180° = 45°

Hence "The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°".

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Please Help I Don't Understand!

Answers

Answer:

5.3

Step-by-step explanation:

Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC

3NC = 16
NC = 16/3
16/3 = 5.333333

A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.

Answers

P(B|A) expressed in simplest form is  8/105.

What is the probability?

Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.

P(B|A)  = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )

(4/15) x 4/14 = 8/105

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The area of a square is 36 square feet. each side of the square measures

Answers


6 ft for each side, bc area is side times side, which 6x6=36

Can a parabola have both a minimum and a maximum point? Explain.

Answers

No, this is because a parabola can only open one way, either upwards or downwards.

need help fast given lim x→c f(x) = "-4" and lim x→c g(f) =1/5 what is lim x→c [g(f)/f(x)]

Answers

Answer:  -1/20

Work Shown:

[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]

Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20

anyone know the answer

Answers

Answer:

y=x+4

Step-by-step explanation:

pretty sure

Need help checking my work for Trigonometry. Will mark brainist!

Answers

Answer:

1.  0.9925  (4 d.p.)

2.  17°

3.  67°

Step-by-step explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

[tex]\sf \implies \sin X=0.2923[/tex]

[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]

[tex]\implies \sf X=16.99570395...^{\circ}[/tex]

[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]

Question 4

Sine Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

[tex]\theta[/tex] = WO = OS = 24H = OW = 26

Substitute the values into the formula and solve for W:

[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]

[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]

[tex]\implies \sf W=67.38013505...^{\circ}[/tex]

[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]            

Which expression is equivalent to
(5ab)^3
30a b-7? Assume a≠0, b≠0.
1. a7b¹0/6
2. 125a¹8b21/30
3. 25a³b4/6
4. 25a9b¹0/6

Answers

The equivalent expression of [tex]\frac{(5ab)^3}{30ab^{-7}}[/tex] is [tex]\frac{25a^{2}b^{10}}{6}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{(5ab)^3}{30ab^{-7}}[/tex]

Expand the numerator

[tex]\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}[/tex]

Divide 125 and 30 by 5

[tex]\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}[/tex]

Apply the law of indices

[tex]\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}[/tex]

Evaluate the exponent

[tex]\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}[/tex]

Hence, the equivalent expression of [tex]\frac{(5ab)^3}{30ab^{-7}}[/tex] is [tex]\frac{25a^{2}b^{10}}{6}[/tex]

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An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once. Match the outcome to its probability.
1. P(2 or 4)
2. A(multiple of 2)
3. P(multiple of 3)
4. P(odd prime numbers)

2/3
0
1
1/3​

Answers

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

What is probability?

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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Which three ordered pairs describe points that are 5 units away from P(-1,2)?
A. (1,5)
B. (-6,7)
C. (-1,-3)
D. (4,2)
E. (2,-2)​

Answers

The ordered pair that is 5 units away is (-1, -3)

What is a line?

A line is a distance between two points.

Analysis:

see attached file.

In conclusion, the ordered pair is (-1, -3)

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Please help is a choose al that apply

Answers

Answer:

Your answers are:

A, B and C

Step-by-step explanation:

So 12 over 3 is equal to 4 which is a Whole number. meaning Not a fraction, an Integer is a whole number (not a fractional number) that can be positive, negative, or zero. Rational numbers would include this example as well

Hope this helped have a wonderful day/night/afternoon

Rational … because all fractions, positive or negative are rational numbers

While Al was staying overnight on vacation with his friends his only expenses were for food. Al spent $7.52 on lunch, $9.74 on dinner, and then $5.16 on breakfast the next morning. If Al had $2.68 left, how much money did he begin with?


$19.74

$25.10

$15.36

$22.42

Answers

Answer:

$25.10

Step-by-step explanation:

lunch=$7.52

dinner=$9.74

breakfast=$5.16

money left=$2.68

make total money he began with ‘x’

to find the total money he began with it will be

x-lunch+dinner+breakfast=money left

x-$7.52+$9.74+$5.16=$2.68

x-$22.42=$2.68

x=$2.68+$22.42

x=$25.10

10m−p=−n, for m
10m−p=−n, for m
10m−p=−n, for m
10m−p=−n, for m

Answers

Answer:

[tex]m=\dfrac{-n+p}{10}[/tex]

Step-by-step explanation:

Solve for 'm'

To solve for 'm', we have to isolate 'm'.

First add p to both sides to cancel (-p) in the left side

          10m - p = -n

                  10m = -n + p

Now, divide the equation by the coefficient of 'm', which 10

                   [tex]\sf\dfrac{10m}{m}=\dfrac{-n+p}{10}\\[/tex]

                    [tex]\sf \boxed{\bf m = \dfrac{-n+p}{10}}[/tex]

Neyha has six number cards. Here are four of Neyha's cards. 8;8;8;8 The mean of all six cards is 8 The range of all six cards is 4 What are the other two cards?

Answers

After considering the given data we come to the conclusion that the two other cards are 6 and 10, under the condition that Neyha has six number cards. Here are four of Neyha's cards. 8;8;8;8.

Let us assume that the other two cards x and y.
The given mean of all six cards is 8. Then, the sum of all six cards is 48 (8×6). We have that four of the cards are 8s.
So, the summation of these four cards is 32 (8×4).
The dedicated range of all six cards is 4. Therefore, the difference between the largest and smallest card is 4.
Furthermore, we know that four of the cards are 8s, the other two cards must be different from 8.
Hence, we can consider that x and y are the smallest and largest numbers in the set.
Here we have to apply basic algebraic expression
We can perform the setting up two equations:
x + y = 48 - 32 = 16 (the summation of x and y is equivalent to the summation of all six cards minus the summation of the four 8s)
y - x = 4 (the difference considering y and x is equal to the range of all six cards)
Evaluating these equations simultaneously gives us:
y = 10
x = 6
Therefore, the other two cards are 6 and 10.
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6. Find the principal value of each of the following to the nearest minute:
Arccsc (1.607)
A. 38°64
B. 39°24'
C. 38°48'
D. 38°32'
E. 39°37'
F. 38°29'

Answers

The principal value of Arccsc (1.607) to the nearest minute is 38°29'

To answer the question, we need to know what arccsc is

What is arccsc?

Arccsc is the inverse of the cosec of an angle.

Let x =  arccsc(1.607)

So, taking the inverse, we have

csc(x) = 1.607

Since csc(x) = 1/sinx, we have

1/sinx = 1.607

sinx = 1/1.607

sinx = 0.6223

The value of x

Taking inverse, we have

x = arcsin(0.6223)

x = 38.483°

Since 60' = 1°, we have

x = 38 + 0.483° × 60'/1°

x = 38° + 28.98'

x = 38°28.98'

x ≅ 38°29'

So, the principal value of Arccsc (1.607) to the nearest minute is 38°29'

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Ava earns 9.20 per hour for the first 6 hours she works each day then time and a half.
What is her pay if she works for 9 hours?

Answers

i believe it would be 9.20 • 9 hours = 82.8

On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on
the plan is 6½ inches, what is the actual width of the room?

Please help!!

Answers

Answer:

The actual width would be 9.75 feet. (I think).

Step-by-step explanation:

If two inches represents three feet, then two inches also represents thirty-six inches. You would then have to set up the proportion [tex]\frac{2}{36} = \frac{6.5}{x}[/tex]. Solving that proportion would get you an answer of 117 inches, equal to 9.75 feet. I hope this helps! :)

Find the value of x.
Round to the nearest tenth.
B
63
142°
61
A
C
X
x = [?
X
Law of Cosines: c² = a² + b² - 2ab cos C

Answers

The value of x in the triangle using the cosine rule is 22.1 degrees.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

Using cosine rule:

8² = 14² + 19² - 2(14)(19) * cos(x)

cos(x) = 0.9267

x = 22.1°

The value of x in the triangle using the cosine rule is 22.1 degrees.

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Using the law of Cosines, the value of x to the nearest tenth is 77.8

Law of Cosines

From the question, we are to determine the value of x

Using the law of Cosines

c² = a² + b² - 2ab cos C

c is the unknown side length  

a and b are the given side lengths

and C is the included angle

From the given information,

a = 63

b = 62

C = 142°

Then,

x² = 63² + 61² -2×63×61 cos 142°

x² = 3969 + 3721 -7686(-0.788)

x² = 7690 + 6056.568

x² = 13746.569

x = √13746.569

x = 77.8

Hence, the value of x to the nearest tenth is 77.8

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The table shows values for a quadratic function.
What is the average rate of change for this function for the interval from x = 1
to x = 3?

Answers

The average rate of change for this function for the interval from x = 1

to x = 3 will be 8. Therefore option B is correct.

How to find the average rate of change of something?

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where when

[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]

The average rate of change can be calculated as;

From x=1 to x=3,

y = 2 and y = 18

Therefore, based on the table, when:

[tex]x_1 = 1 y_1 = 2 \\and \\x_2 = 3, y_2 = 18[/tex]

Then:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\text{Average rate} = \dfrac{18 - 2}{3-1}\\\\\text{Average rate} = \dfrac{16}{2}\\\\\text{Average rate} = 8[/tex]

Therefore option B is correct.

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PLEASE ANSWER THESE!!!!!!!!!!!!!!!!

Answers

Answer:

First one: X= 11.5

Second one: W = 3

X= 41.4°

Third one: 516.8

Step-by-step explanation:

Remember SOH CAH TOA when dealing with trigonometry and study the diagrams well

Find a possible formula for the trigonometric function represented by the given table of values. (enter your answer in the form y = a cos(bx − c) d or y = a sin(bx − c) d. )

Answers

A function assigns the values. The function will be 8cos(2x-π)+4.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


Given the maximum value is 12, while the minimum value is -4, therefore,

A = (Max-Min)/2 = 12-(-4)/2 = 8

D = (Max+Min)/2 = (12-4)/2 = 4

Period=π, but since x =-4 at 0 or π, therefore,

(2π/B) = π

B = 2π/π = 2

C/B = π/2, {∴At π/2 maximum}

C=π

Hence, the function will be 8cos(2x-π)+4.

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how do u convert a percentages into fractions ??

Answers

Answer:

Step-by-step explanation:

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100

ex: 11% = 11/100

What is the length of segment XZ?

Answers

Answer:

24 is the length of segment XZ

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