f(x) = -x + 5
g(x) = x2 – x +4
Find: (f•g)(x)

F(x) = -x + 5g(x) = X2 X +4Find: (fg)(x)

Answers

Answer 1

Answer:

[tex](fog)(x) = - {x}^{2} + x + 9[/tex]

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]

I hope I helped you^_^


Related Questions

please answer for question 8 and A and B


I factory produced 90 pairs of designer jeans And inspector Randomly choose his 6 pairs of jeans And discovers that 1 of the Pairs of jeans Pairs of jeans Is defective.


A. What is this experimental probability that a pair of jeans inspected will be defective.

B. How many of the 90 pairs of jeans would you expect to be defective.


I need help PLEASE!

Answers

Not sure about A but B would be 15 pairs of jeans you would expect to be defective

On the first day of football camp there were 106 participants. By the fifth day only 98 remained. Determine the rate of change.

Answers

Answer: The rate of change is -2, meaning that a rate of 2 participants left per day.

Explanation:
Rate of change = change in participants over change in time
98 - 106 = -8
5 - 1 = 4
Rate: -8/4, simplified to -2

john earns $98.40 in an 8-hour day. what is his hourly wage?

Answers

Answer:

easy just divide it

98.40 / 8 = 12.3

12.3

breainest please

5. Mr. Maldonado has 874 dodgeballs in the gym. 537 balls are blue, and the rest are green. How many of the dodgeballs are green? Answer Statement Equation and Strip Diagram: Strategy and Solution:​

Answers

Huhbbggghhhhhhhhhhhhhhhhhhh
337 because 874 minus 537 is 337

gehehehehhehegeheheklelehe​

Answers

Answer:

A

Step-by-step explanation:

What is the missing integer?

Answers

Answer:

2

Step-by-step explanation:

-3-2=-5

its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember

Answer:

[tex]2[/tex]

Step-by-step explanation:

We want to solve this following equation for [tex]x[/tex]: [tex]-3-x=-5[/tex].

We can add [tex]3[/tex] to both sides of the equation to get [tex]-x=-2[/tex].

We can then divide both sides of the equation by [tex]-1[/tex] to get [tex]x=2[/tex].

So, the missing integer is [tex]\boxed{2}[/tex].

Note: [tex]2=5-3[/tex]. Coincidence?

guys pls help me!!!!!

Answers

13c - 15 = 180
+ 15 + 15
13c/13 = 195/13
C = 15
Hope this helped

Answer:

c = 15

Step-by-step explanation:

(7c - 7) + (6c - 8) = 180

Simplify

13c -15 = 180

13c = 195

c = 15

Let the measures in degrees of the three angles of a triangle be x y and z. If y equals 2z and z equals 0.5x-30 then what is the measure in degrees of the largest angle in the triangle

Answers

Answer:

108 degrees

Step-by-step explanation:

Remember that the sum of the internal angles of a triangle = 180 degrees

Express this ratio in simplest form. 600cents : $10.50

Answers

$10.50 is equal to 1050 cents. the i simplified ratio would be 600:1050 and the simplified would be 4:7

Please help me with this question

Answers

Answer:

triangle

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

20 POINTS!

A rectangle has perimeter 60. After the width of the rectangle is tripled and the length is increased
by 5, the perimeter is now 90. What were the dimensions of the original rectangle?

Use the information from this article to determine the approximate number of rentals and sales for
this movie. A “transaction” is either an online sale or a rental.

Please dont say cap, I am rlly struggling with this.

Answers

Answer:

Cat

Step-by-step explanation:

Cat

Identify the zeros of the function allgebraically
F(x)=x+2

Answers

Answer:

x = -2

Step-by-step explanation:

Equate x+2 with 0

x+2 = 0

x = -2

Feel free to mark this as brainliest! :D

HELP

Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420

Answers

Answer:

f(12) = 185

Step-by-step explanation:

Plug 12 into every n variable of the given equation:

20 + 15(n - 1)

20 + 15(12 - 1

20 + 15(11)

20 + 165 =

f(12) = 185

Hope this helps!

Answer:

Step-by-step explanation:

Calculate f(12) if f(n) = 20 + 15(n-1) *

Ed collects autographs. The graph shows the total number of autographs

that Ed has collected over time, in weeks. Find f(12), and explain what

it represents.

Number of autographs

1 n)

90

80

(5,80)

70

(465)

60

50 13,50)

40

30

(2,35)

20 . (1, 20)

10

n

0

1 2 3 4 5 6

Time (weeks)

f(12)= 200

f(12)=185

f(12)= 385

(12) = 420

Need answers to all quick

1) Slope = 6 and y-intercept (0, -2)
2) Slope = 2/3 and y - intercept (0, 5)
3) Slope = -5 and y - intercept (0, 0)
4) Slope = 0 and y - intercept (0, -1)
5) Slope = -1 and y - intercept (0, 4)​​

Answers

Answer:

See explanation

Step-by-step explanation:

For any line, with slope [tex]m[/tex] and y-intercept [tex](0, b)[/tex] the line is [tex]y=mx+b[/tex].

1)

[tex]m=6, b=-2[/tex], Line: [tex]y=6x-2[/tex]

2)

[tex]m=2/3, b=5[/tex], Line: [tex]y=2/3*x+5[/tex]

3)

[tex]m=-5, b=0[/tex], Line: [tex]y=-5x[/tex]

4)

[tex]m=0, b=-1[/tex], Line: [tex]y=-1[/tex]

5)

[tex]m=-1, b=4[/tex], Line: [tex]y=-x+4[/tex]

At a farm the ratio of cows to horses was 9: 2 if there were 72 cows at the farm how many horses were there

Answers

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

Here is the histogram of a data distribution.
4
3
2
1
5 6 7 8
9
10
What is the shape of this distribution?
A. Bimodal symmetric
B. Bimodal skewed
Ο Ο Ο Ο Ο
C. Unimodal symmetric
D. Unimodal skewed
E. Uniform

Answers

Answer:

Uniform

Step-by-step explanation:

The shape of the given histogram is uniform.

Option E is the correct answer.

We have,

A uniform histogram is a type of histogram where all the bars have approximately the same height, indicating that the data is evenly distributed across the range of values.

In other words, the frequency of occurrence for each value or interval is roughly the same.

For example, consider the following data set of 20 numbers:

{4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}

If we create a histogram of this data set with five bars, each representing a range of four values (e.g., 4-7, 8-11, etc.), we would expect to see a uniform histogram with approximately the same height for each bar.

This indicates that the data is evenly distributed across the range of values.

Uniform histograms are useful for visualizing data that is evenly distributed or to identify outliers that are not consistent with the rest of the data. However, in some cases, a uniform histogram may not accurately represent the underlying distribution of the data, especially if there are gaps or clusters of data within certain ranges.

In such cases, other types of histograms or statistical methods may be more appropriate.

Thus,

The shape of the given histogram is uniform.

Learn more about histograms here:

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Can someone help me with this math question the right answers

Answers

Answer:

d is the right answer hope you get it right

what is the nth term for this sequence?
-7, -12, -17, -22, -27

Answers

The ninth term for this sequence is -47. Because you are adding -5 each time. I hope this helps!

Trinity has 48.75 in of ribbon she cut the ribbon to 15 equal size pieces what is the length of each piece of ribbon

Answers

Answer:

3.25

Step-by-step explanation:

Divide 48.75 by 15

Answer: 3.25

Step-by-step explanation:

48.75/15= 3.25

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers. ​

Answers

Answer:

Let x = the smaller number

Let 3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

Step-by-step explanation:

Subtraction of integers
-70 --25 =

Answers

Answer:

-45

Step-by-step explanation:

-70 --25

-×-=+

-70 +25

-45

120% of what number is 102 and how do you write the question? (Include a variable)

Answers

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

That's how you write the equation.

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.

2x+65=4x−3

Answers

Answer:

Step-by-step explanation:

Show that if 3x – 7 = 5, then x = 4.

Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.

x=4

Statements Reasons

1. 3x – 7 = 5 Given

2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)

3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)

4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)

5. 3x = 12 Substitution of 5 + 7 = 12 into (4)

6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3

7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)

8. x = 4 Substitution of 12⁄3 = 4 into (7)

Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:

is 16/6 a rational numer

Answers

Yea it is. I hope this helps and please mark me brainliest!

Please help me solve this problem ASAP

Answers

Answer:

x=1.6

Step-by-step explanation:

x = 1.6

explanation: causeee lol

what is the rate of change of y=-5/4x

Answers

My teacher always says if the number is in front of the X then that the answer ‍♀️

which polynomial represents the difference below 5x^2 + 9x + 3
- (6x^2 - 3x)
-------------------------

Answers

Answer:

-x^2+12x+3

Step-by-step explanation:

remove parenthesis

collect the terms

and simplify

It costs $1.20 per person and $3.75 per hour to rent a meeting room at the library. Let x represent the number of people and y represent the number of hours. If 3xpeople rented the room for 2yhours, write an expression to represent the total cost of the rental?

Answers

Answer:

1.2(3x)+3.75(2y)

Step-by-step explanation:

multiply 1.2 by what you know for number of people

multiply 3.75 by what you know for number of hours

Baskets of tomatoes cost $3 each and bags of onions cost $4 each. A customer purchases x baskets of tomatoes and ybags of onions.What does the expression 3x+4yrepresent?the total number of baskets of tomatoes and bags of onions the customer purchasedthe total number of baskets of tomatoes and bags of onions the customer purchasedthe cost per basket for the tomatoes plus the cost per bag for the onionsthe cost per basket for the tomatoes plus the cost per bag for the onionsthe total cost, in dollars, for the customer’s purchasethe total cost, in dollars, for the customer’s purchasethe number of baskets of tomatoes and the number of bags of onions that can be purchased for $7

Answers

Answer: The expression 3x+4y represents 3 bags of $3 tomatoes and 4 bags of $4 onions

Step-by-step explanation:

The expression 3x+4y represents 3 bags of $3 tomatoes and 4 bags of $4 onions.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Baskets of tomatoes cost $3 each and bags of onions cost $4 each. A customer purchases x baskets of tomatoes and y bags of onions.

The expression 3x+4y represents the 3 bags of $3 tomatoes and 4 bags of $4 onions.

To know more about an expression follow

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Given the f(x) =8(3-x) what is the value of f(-1)

Answers

Answer:

32 alternative forms: 2⁵

Step-by-step explanation:

Answer:

f(-1)=32

Step-by-step explanation:

f(x) =8(3-x)

f(-1)=8(3-(-1))

f(-1)=8(3+1

f(-1)=8*4

f(-1)=32

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