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[tex]f(x) = 2 {x}^{2} - 7x - 7[/tex]
[tex]g(x) = x + 1[/tex]
_________________________________
[tex]f(g(x)) = 2 ({x + 1})^{2} - 7(x + 1) - 7 \\ [/tex]
[tex]f(g(x)) = 2( {x}^{2} + 2x + 1) - 7x - 7 - 7 \\ [/tex]
[tex]f(g(x)) = 2 {x}^{2} + 4x + 2 - 7x - 7 - 7 \\ [/tex]
Collect like terms
[tex]f(g(x)) = 2 {x}^{2} + (4 - 7)x - 14 + 2 \\ [/tex]
[tex]f(g(x)) = 2 {x}^{2} - 3x - 12 [/tex]
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Answer:
[tex]2x^{2} -3x-12[/tex]
Step-by-step explanation:
To solve composite functions, figure out which function is on the "inside" and the outside":
f(x) is the inside and g(x) is the outside
Now plug the value of g(x) into the x values of f(x):
[tex]2(x+1)^{2}-7(x+1)-7[/tex]
Then distribute following the steps of PEMDAS:
[tex]2(x^{2}+2x+1)-7x-7-7[/tex]
[tex]2x^{2} + 4x + 2 - 7x -14[/tex]
Then combine like terms:
[tex]2x^{2} -3x-12[/tex]
Pick A B or C. Explanation would be helpful
Answer:
c
Step-by-step explanation:
In general, how tall are giraffes? stat or not stat
Answer:
18 feet tall
Giraffes are the tallest land animals. Female giraffes are up to 14 feet tall and weigh up to 1,500 pounds. Meanwhile, males are up to 18 feet tall and can weigh 3,000 pounds.
Meet Forest, the tallest giraffe in the world
(CNN) A male giraffe living in a zoo in Australia has been crowned the tallest of them all, hitting a giddy 5.7 meters (18 feet, 8 inches). Isn't that cool?!
( just so you know some of this information was with the help of google)
Brainliest?
Which value of x will make this expression true?
23. 2x = 215
A)
5
B)
18
c)
2
D)
6
Answer: I don't think these are the right answers, if you substituted them they all don't add up, are these exponents?
Step-by-step explanation:
A Recipe for cakes uses 12 cups of flour and 4 eggs. What is the ratio
Answer:
3 to 1 is the ratio
hope it helped
Answer:
12:4
Step-by-step explanation:
I do not know if this question is complete, but if it is, the ratio is 12:4. The reason is that for every 12 cups of flour, there are 4 eggs.
Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?
Answer:
x = 13.5 weeks
Step-by-step explanation:
Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.
189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.
The function y=15x + 100 models the freight shipping charge of x pounds of cargo. What best describes the constant term of the function
Answer:
the constant is 15
Step-by-step explanation:
because it is constantly going up. the slope (15x) is what changes.
How do break down what is the percentage of change in cost of the pizza
The delivery fee is $35 plus rental fee of $10 per hour find x the number of hours jasmine parents can rent the snow cone machine and spend $80 or less
Answer:
They can rent it for 4 hours.
Step-by-step explanation:
35+10x4
Answer:
4 1/2 hours
Step-by-step explanation:
you start with $35 and then add 10 per hour so
10x4=40+5(this 5 comes from the 1/2) =45+35= $80
* just put 4 hours if you cant use a fraction
what's the answer please I need one
200+ 270-56=
Answer:
414
Step-by-step explanation:
You can buy 5 cans of green beans at the village market for $2.30, or you can buy 10 of them at Best Food for $5.10. Which place is the better buy?
Answer:
The village market
Step-by-step explanation:
Price per can at the village market
= 2.30÷5
= $0.46
Price per can at Best Food
=5.10÷10
= $0.51
Answer:
Village market
Step-by-step explanation:
Find the unit rate at village market and Best food and compare.
Village market:
Rate per can = 2.30 ÷ 5
= $ 0.46
Best food:
Rate per can = 5.10 ÷ 10
= 0.51
0.46 < 0.51
Buying can from village market is best buy as that is less priced
A dollhouse uses a scale factor of 1/12 The perimeter of a square room in
the dollhouse is 36 inches. What is the length of the full-size room?
Please explain also thanks
Answer:
really phoung. lol its me maham
Step-by-step explanation:
Ms. Hamby gave a quiz. Two students' work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form. Part A Based on Ms. Hamby's answer key, how many questions did Student A answer correctly? Explain your response.
Answer:
attach a picture
Step-by-step explanation:
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
Please help!
How do you do this?
Answer:
10 m²
Step-by-step explanation:
1. First, find the area of the bigger (shaded) rectangle
4 x 3 = 12m²
2. Then, find the area of the door (white rectangle)
2 x 1 = 2m²
3. Because you are only finding the area of the shaded section, you need to subtract the area of the door from the shaded section
12m² - 2m² = 10m²
What is the quotient of 3/4 and 5/6
Answer:
9/10
Step-by-step explanation:
The current temperature is 54 °F, convert the temperature to Celsius.
Answer:
b) 12.2222
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
Answer:
The answer is
B ) 12.2
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Find 43.3% of 488.Round to the nearest hundredth.
Answer:
211.30
Step-by-step explanation:
488 times 43.3 divided by 100
211.304
rounded to 211.30
Answer:
211.30
Step-by-step explanation:
big brain big brain
The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?
Answer:
Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce
Answer:
12 ounces
Step-by-step explanation:
3.60 = .3x
divide by .3 on both sides
12 = x
What is the sum of (5x2 + x - 3) and (-4x2 - x +9) ?
Answer:
[tex]x^{2} + 6[/tex]
Step-by-step explanation:
can u find all the angles plz?
Answer:
The two sides we know are O pposite (300) and A djacent (400).
SOHCAH TOA tells us we must use T angent.
Calculate Opposite/Adjacent = 300/400 = 0.75
Find the angle from your calculator using tan-1
:)
Answer:
1 = 88 2 = 42 3 = 113
Step-by-step explanation:
2 is 42 because it is the opposite angle and then you subtract 42 and 50 from 180 to get 88 for #1 and you subtract 42 and 25 from 180 to get 113 for #3.
Whoever answers gets brainlist!
Answer:
1 ST ONE
Step-by-step explanation:
Answer:
No, because its racional
In a random survey, 35 out of 100 people were able to correctly answer the question asked. If 400 people are surveyed, about how many would be expected to answer the question correctly?
Step-by-step explanation:
In a Random survey 35 out of 100 people answered correctly.
100-35
=65
[tex] \frac{35}{65}(400) [/tex]
[tex] \frac{7}{13}(400) [/tex]
[tex] \frac{2800}{13} [/tex]
[tex]215.384[/tex]
I think this is the answer but I am not entirely sure so you can maybe verify from someone.
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
. Simplify the following expression by combining like terms:
3a + 6ab + 9ab + 3(a + ab)
Answer:
6a+18ab
I think is correct
Answer:
6a+18ab
Step-by-step explanation:
hope this helps
Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2
Answer:
A and C
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
3/2:1/4 as a unit rate
Answer:
25
Step-by-step explanation:
Determine the slope, y-intercept and equation of the graph below.
Answer:
Step-by-step explanation:
y intercept is 7.5
slope 1/2
y = 1/2x + 7.5
The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
A recipe for 12 bran muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are two 2/3 cups of flour available how many muffins can be made
Answer: 8
Step-by-step explanation:
12 bran muffins in 1 Cup so for 2/3 it is
2/3*12 = 8
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, add 3 to it and multiply the result by 7."
