If f(x)=x+5,g(x)=1-2x,h(x)=x-2 find fog,foh,goh,gof,hof​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)

a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x

b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3

c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x

d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x

e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3


Related Questions

If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.​

Answers

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum

Answers

Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum

Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.

Step-by-step explanation:

Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?

Answers

First make equations to keep you work straight
Playland day cost is 25+2r
Funland day cost is 35+1r
Now plug in the same number to both and see if the answer is equal I always start with easy ones:
5
25+10=35
35+5=40
10
25+20=45
35+10=45
*Bingo*
So 10 is the number of rides that makes the parks cost the same.
Good luck! Brainliest would be greatly appreciated.

a+4<9


Anyone please?

Answers

a < 5

step by step

4 - 4 = 0

9 - 4 = 5

Mr. Y gets paid $8.70 per hour. Yesterday he worked 6.5 hours. What will be his pay, assuming that he gets paid for exactly the time that he works.

Answers

Answer:

$56.55

Step-by-step explanation:

8.70*6.5=56.55

If the radius of the cone is 5 inches and the height of the cone is 18 inches, what is the slant height of the cone ?

Answers

Answer:

Step-by-step explanation:

slant height = √(5²+18²) = √349

8th grade math, explain if you can please.

Answers

Answer:

I'm pretty sure that the answer is 1.76?

Step-by-step explanation:

The formula is this tho:

V=πr^2h

Suppose that a news article refers to a poll that surveyed 886 registered voters and carries a margin of error of plus or minus 3.5 percentage points. Assume a 95% confidence level, and calculate the margin of error. Is your answer 3.5%

Answers

Answer:

no its not 3.5

Jack spent a mean of $4 in the last 5 days how much did he spend on the 4th day​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 9$

Explanation:

5 + 3 + 1 + x + 2 = 20

Subtract all those numbers

x = 9

5 + 3 + 1 + 9 + 2 = 20

20 / 5 = 4

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

A triangle has sides with lengths of 10 centimeters, 23 centimeters, and 26 centimeters. Is it
a right triangle?

Answers

Answer: No it is not a right triangle. It is an obtuse scalene triangle.

Answer:

No, it is not a right triangle. It is an obtuse triangle.

Step-by-step explanation:

How to know a right traingle

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Mario Works in a bakery He made 90 more loaves of bread on Saturday then he did on Sunday he made 70 more loaves of bread on Monday that he did on Sunday if he made 340 loaves off Bread on Monday how many lobes are friendly do you make on Saturday

Answers

Hi can u tell me whats going on here?

A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a
scatterplot and trend line based on the data.
Weight (lbs)
4
2
1
6
8 9 10
Number of Books
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.

Answers

Answer: I am taking the test rn and I think its (C) Since the trend line is a positive correlation and slope, so then a good estimate would be 6

Step-by-step explanation: I may be wrong, but this is the best choice in my opinion

EDIT AFTER TEST: Yep C is correct! i got a 100 on the test

Answer:

The answer is C. I hope this helps you out. Have a wonderful safe day. <3<3<3

Step-by-step explanation:

Six friends go to lunch and the total cost of lunch is $41.12. After using a $5 coupon to reduce the bill, the friends split the cost of lunch evenly. How much does each friend owe?

A $6.20


B $6.02


C $6.85

Answers

Answer:

6.02

Step-by-step explanation:

(41.12 - 5) / 6

= 6.02

expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction.

Answers

Answer:

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Step-by-step explanation:

we do not want the minus sign.

7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3  -   5/6

7 3/4 + 1 3/4 - 3 5/6 =  7+  3/4 + 1 +  3/4 - 3  -  5/6

7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Please let me know asap

Answers

Answer:

100

Step-by-step explanation:

Hello There!

∠4 and ∠8 are corresponding angles

corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100

Please help and will give brainliest

Answers

9514 1404 393

Answer:

  12 m³

Step-by-step explanation:

The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...

  V = LWH

  V = (2 m)(4 m)(3 m) = 24 m³

The top platform has dimensions 2m × 3m × 2m, so a volume of ...

  V = (2 m)(3 m)(2 m) = 12 m³

The bottom platform has a larger volume by ...

  24 m³ -12 m³ = 12 m³

The bottom prism has a 12 m³ larger volume.

Answer:

the answer is 12m squared

-20t > -80
can you solve this and graph it​

Answers

Given:

The inequality is:

[tex]-20t>-80[/tex]

To find:

The solution for the given inequality and graph of it.

Solution:

We have,

[tex]-20t>-80[/tex]

Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.

[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]

[tex]t<4[/tex]

Therefore, the solution for the given inequality is [tex]t<4[/tex].

All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.

Since 4 is not included in the solution set, therefore there is an open circle at 4.

The graph for the given inequality is shown below:

Solve for t: F =2t+k/3g

Answers

Answer:

[tex]F = \frac{2t + k}{3g} \\3Fg = 2t+k\\3Fg - k = 2t\\t = \frac{3Fg - k}{2}[/tex]

A circle has a diameter of 7 inches. Find the radius

Answers

Answer:

radius= 3.5 in

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation:

The diameter is the length from one side of the circle to the other the radius is half that

What is 5^5 equal to

Answers

Answer:

5^5 is equal to 3125

Step-by-step explanation:

5×5×5×5×5=3125 Hope this helps!

the answer is 10 alangan

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less

Answers

Answer:

The minimum sample size which should be used is 315.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.

This means that [tex]\pi = 0.92[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?

The minimum sample size that should be used is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]

[tex]n = 314.2[/tex]

Rounding up

The minimum sample size which should be used is 315.

Please Help, I will give a brainleist to the right answer.

Answers

the perimeter is 28 feet long. you would add 7 four times because all sides on the square are equal

The perimeter is 28 feet long but all the sides are the same

An expression is shown.
95-34
What is the value of the expression?

Answers

Answer:

61

Step-by-step explanation:

    95

  - 34

_______

   61

.5% of what number is 15.8?

Answers

Answer:

316 should be your answer

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

.5% of what number is 15.8?

Let the unknown number be x.

0.5% * x = 15.8

0.005x = 15.8

x = 15.8/0.005

x = 3160


For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?

A.The height is approximately r units, and the base length is approximately mr units.
B.The height is approximately r units, and the base length is approximately 2 units.
C.The height is approximately r2 units, and the base length is approximately it units.
D.The height is approximately 2r units, and the base length is approximately it units.

Answers

The answer is B) hope it helps!

Answer:

Step-by-step explanation: B

If a video game cost $60 and it's on sale for 10% off, how much is the discount?

Answers

Answer:

$6

Step-by-step explanation:

Percentages have a cool little trick where they can be reversed :) 10% of 60 is a little tough, but we can switch it to 60% of 10, which is much easier. 60% of 10 is 6, so the discount is $6

A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?

Enter your answer as a fraction.


Male Female Total
Orange 12 50 62
Green 5 73 78
Total 17 123 140
Provide your answer below:

$$

Answers

Answer:

1/28

Step-by-step explanation:

The probability that a male student picks green is 5 / 17

The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.

The probability that a male picks green is:

= Number of males who prefer green / Number of males in total

There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:

= 5 / 17

In conclusion, the probability that a male picks green is 5 / 17.

Find out more at https://brainly.com/question/14682217.

The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?​

Answers

Answer:

24

Step-by-step explanation:

Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case

5*8 and 3*8 = 64

3*8 = 24

5*8 = 40

There are 24 girls

The mean monthly water bill for 44 residents of the local apartment complex is $104. What is the best point estimate for the mean monthly water bill for all residents of the local apartment complex?

Answers

Answer:

$104

Step-by-step explanation:

The computation of the best point estimate for the mean monthly water bill is shown below:

Given that

The mean monthly water bill is $104

and, the number of residents is 44

based on the above information

The best point estimate would be equivalent to the mean monthly water bill i.e. $104

hence, the same would be considered

make a number line and show all values of that x that x < -1 and x > 1

Answers

Hey I’d be happy to help!

1st you have to draw your blank number line (make it a decent length

<———————————————————>

Then you have to label your 0 that will separate all positive and negative numbers you put

On the right side of 0 your going to have positive numbers (1,2,3,4,5,6)

And on the left side of zero, it’s gonna be negative numbers.

Then the tricky part:

Your going to make a line from -1 to 1 on your number line. Then because your greater then and less than signs do not have an “or equal to” line... your gonna put an open circle around -1 and 1 to show that x<-1 and X>1

Answer:

Here is the answer on a number line

Step-by-step explanation:

Hope this helps!

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