Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))

Answers

Answer 1

Answer:

f(g)x))= x^2 -6x +4

Step-by-step explanation:

first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5

then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5

when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5

finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4

note: x^2 is x squared or exponent of 2


Related Questions

Luke ate a snack with 91 total calories. If the chips he ate were 41.2
calories, how many calories were in the rest of his snack? *
50.8
132.2
049.8

Answers

Answer:

132.2

Step-by-step explanation:

you just add the percentage of its calories

49.8 is the correct answer

100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y=5.8

x=10

Step-by-step explanation:

30\3=10

10-4.2=5.8

Answer:

x = 10 cm

y = 5.8 cm

Step-by-step explanation:

Area of a rectangle

[tex]\large\boxed{A=l\:w}[/tex]

where l is the length and w is the width.

From inspection of the given rectangle:

Width = 3 cmLength = x = y + 4.2 cmArea = 30 cm²

Substitute the given values of area, width and length into the formula and solve for x:

[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]

Substitute the found value of x into the expression for length and solve for y:

[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]

what is 4.8367 rounded to the nearest hundredth

Answers

Answer:

4.84

Step-by-step explanation:

4.84 is the nearest hundredth number of 4.8367.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

4.8367 is a decimal number.

Four point eight three six seven is the given decimal number.

We have to round the decimal number to the nearest hundredth.

In the given decimal number the value at hundredth position is 3.

We need to follow the rules when rounding a decimal number.

if the last digit is less than 5, round the previous digit down.

if it's 5 or more than you should round the previous digit up.

In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.

Hence 4.84 is the nearest hundredth number of 4.8367.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3​

Answers

Answer:

x > 5

Interval form: (5, infinity)

Step-by-step explanation:

Just add 8 to both sides of the inequality:

x > 5

Therefore, x must be greater than 5.

I don’t understand this question.

Answers

Angle TQS is equal to 74 degrees
Answer: If the answer to the first angle is 106, the next answer would be 74. This is because the total is 180 because its straight. So, subtract 106 from 180. You get 74.

Explanation: x=7 in this case. When its says, TQS, it means that particular angle.

-18 - 6n= 6 (1 + 3n)

Answers

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

6x^2-18x-18=6
CAN SOMEONE EXPLAIN PLS

Answers

Simplifying
6x2 + -18x + -18 = 6

Reorder the terms:
-18 + -18x + 6x2 = 6

Solving
-18 + -18x + 6x2 = 6

Solving for variable 'x'.

Reorder the terms:
-18 + -6 + -18x + 6x2 = 6 + -6

Combine like terms: -18 + -6 = -24
-24 + -18x + 6x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-24 + -18x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -3x + x2) = 0

Factor a trinomial.
6((-1 + -1x)(4 + -1x)) = 0
6(x^2-3x-3)=6
X^2-3x-3=1
X^2-3x-4=0
(X-4)(x+1)=0
X=4 x=-1

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?



How many years must a farm be run organically before its produce can be labeled as “organic”?



What is a benefit of crop rotation?

Answers

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation: Hope you pass! :)))

first one is C second one is 3 third one is A

hope i helped

Three consecutive integers have a sum of 48. Find the integers.

Answers

Answer:

15, 16, and 17.

Step-by-step explanation:

They are consecutive and they add up to 48.

what expression is equivalent to 2

Answers

Answer:

4 - 2 = 2

Step-by-step explanation

what is 7 - 4 = 5x - 13

Answers

Answer:

x=16/5

Step-by-step explanation:

7-4=5x-13

3=5x-13

+13.  +13

16=5x

16/5 = x

If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?

Answers

Answer:

114.666666667

Step-by-step explanation:

Step 1:

6/86 = 8/x        Equation

Step 2:

6x = 688        Multiply

Step 3:

x = 688 ÷ 6    Divide

Answer:

x = 114.666666667

Hope This Helps :)

Write the equation of the line passing through the points (6,16) and (9,25).
First find the slope!

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)

Answers

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .

Answers

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

Item 10
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?


5-ounce can

12-ounce can which is the right answer 5-ounce can or 12-ounce can help fast pls

Answers

5 ounce because 10 ounces is 1.80 and if you add 2 more ounces its 0.36 so 12 ounces would be 2.16

Answer:

The 5-ounce can if divided by five to how to cost for 1-ounce would be $0.18. Then you divide the 12-ounce by 12 for 1-ounce which is $0.2. So the 5-ounce is better.

Step-by-step explanation:

Hope this helped!

Can someone explain both of these ratios and answers to me?

Answers

Answer:

15 ( for Herimone) And 8 ( For Stranger Things)

Step-by-step explanation:

When Herimone uses 5 grams of Pearl Sheen she creates 30 fluid ounces of love potion. Last week she created 90 ounces which is 3 times larger than 30 ounces so you have to multiply 5 by 3 to figure out the amount of Pearl Sheen she used which is 15

For stranger things they Multiplied 3 by 2 so you have to multiply 1 by 2 to get 2. Then you have to add 6 and 2 to get 8 kids.

Hope This Helps!

The function y=30x represents the distance in miles, y, a car travels after x hours.

Answers

Answer:

first option

Step-by-step explanation:

Answer:

A. The total distance the car travels in miles between hours 3 and 7.

Step-by-step explanation:

I took the test!

2. Given the linear equation 2x + 3y = 9.
a.
Write the equation in the form y = mx + b.

Answers

Answer:

y = -2/3x + 3

Step-by-step explanation:

3y = -2x + 9

y = (-2x + 9)/3

y = -2/3x + 3

Round 0.051866 to 2 significant figure

Answers

Answer:

your answer would be 0.052

If a • b = 0, and a ≠ 0, then b=

Answers

Answer: 5573

Step-by-step explanation:

Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H

Answers

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer: Yup A.........

need help again please i’m sorry...

Answers

Answer:

The slope is -1/5

Step-by-step explanation:

y = mx +b is in slope intercept form

m is the slope and b is the y intercept

y = -1/5x -1

The slope is -1/5 and the y intercept is -1

Answer:

Step-by-step explanation:

The slope is -1/5

Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2.5; Y = 2.5 X = 5; Y = 0.75 X = 15; Y = 3 X = 15; Y = 5

Answers

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

Answer:

c

Step-by-step explanation:

20 POINTS PLEASE HELP!!!!! Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75
and each drink cost 50 cents. In total, Charlie paid $25.50 for his order.
Write an equation that represents the relationship between the number of
hamburgers he bought, h, and the number of drinks he bought, d.

Answers

Answer:

3.75h + 0.5d = 25.50

Step-by-step explanation:

3.75h is $3.75 multiplied by h, the amount of hamburgers they buy. same goes for 0.5d it’s 50¢ multiplied by d, the amount of drinks they buy. then both those variables added has to equal $25.50 because that’s how much they spent total.

If sea turtles can travel 2.8 at top speed in two hours how far did it travel in one hour

Answers

Answer

1.4 miles

Step-by-step explanation:

2.8÷2=1.4

help please its important

Answers

Answer:

DBYes

Step-by-step explanation:

x: cupcakes

y: cakes

no more than 224 minutes: ≤ 224, average 4 minutes cupcakes: 4x and average 32 minutes cakes: 32ywhen you plug in the 4 cakes as y it becomes x≤24....4x+32(4)≤224...(4x+128≤224)-128....(4x≤96)/4...x≤24when you plug in the given numbers it is a true statement.... 4(32)+32(3)≤224...128+96≤224....224≤224

9514 1404 393

Answer:

  1.  d. 4x +32y ≤ 224

  2.  b. x ≤ 24

  3.  yes

Step-by-step explanation:

1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.

For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.

The total decorating time must be less than or equal to 224 minutes:

  4x +32y ≤ 224

__

2. For y=4, the constraint on x is ...

  4x +32(4) ≤ 224

  4x ≤ 96

  x ≤ 24

__

3. We can try the numbers and see if the inequality is true:

  4(32) +32(3) ≤ 224

  128 +96 ≤ 224 . . . . . . . . true (equal)

Yes, it is possible.

If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?

Answers

Answer:

The number 70 is divisible by 2,5 and 14.

Explanation:

Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.

140 is divisible by 2, 5 and 14.

SO the answer is option e: n+70

       

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices

11:36
36:11
3:11
11:3​

Answers

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

What are the possible degrees for the polynomial function?
degrees of 6 or greater
even degrees of 6 or greater
degrees of 5 or greater
odd degrees of 5 or greater

Answers

Answer:b

Step-by-step explanation:on edge2020

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