MATHEMATICS HIGH SCHOOL

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

Answer 1
Answer: f(x) = (x+7)²
(x+7)(x+7) = x(x+7)+7(x+7) = x² + 7x + 7x + 49 = x² + 14x + 49

(x+9)² = (x+9)(x+9) = x(x+9)+9(x+9) = x² + 9x + 9x + 81 = x² + 18x + 81 
(x+5)² = (x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
(x-9)² = (x-9)(x-9) = x(x-9)-9(x-9) = x² - 9x - 9x + 81 = x² - 18x + 81
(x-5)² = (x-5)(x-5) = x(x-5)-5(x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

I think g(x) based on the translation would be g(x) = (x+9)²
Answer 2
Answer:

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2

Read more about translation at:

brainly.com/question/8959437

#SPJ5

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Answers

The answer is in the attachment

ProblemKong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.
How many seconds did Nolan take?

Answers

kong: 15% 15x100=1,500

Nolan:85 seconds 85x2=170

then when you multiple kong by 15 and 100 it gives you 1,500 however nolan did of the seconds 85x 2 gives you 170 . in conclusion Nolan did 15x2=30 . which means Nolan did 30 seconds.

Solve the equation. Check for extraneous solutions.

Answers

assume
if |a|=b
a=b and -a=b

so

9|9-8x|=2x+3
divide both sides by 9
|9-8x|=2/9x+1/3
assume
9-8x=2/9x+1/3 and
-9+8x=2/9x+1/3


9-8x=2/9x+1/3
times 9 both sides
81-72x=2x+3
add 72x both sides
81=74x+3
minus 3
78=74x
divide both sides by 74
39/37=x

other one
-9+8x=2/9x+1/3
multiply both sides by 9
-81+72x=2x+3
minus 2x both sides
-81+70x=3
add 81 to both sides
70x=84
divide boh sides by 70
x=6/5


x=39/37 and 6/5
check

9|9-8(39/37)|=2(39/37)+3
2646/37=189/37
false

9|9-8(6/5)|=2(6/5)+3
351/5=27/5
false

no soltion evidently, weird

Taylor wants to paint his rectangular deck that is 42 ft long and 28 ft wide. A gallon of pain covers 350 sq ft. How many gallons of pain will Taylor need to cover the entire deck? Write and solve an equation to find the area of the deck.

Answers

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Area Equation: 42x28=1176 square feet
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1176ft²/350ft²=3.36
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Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomas garden?

Answers

Answer: 2340 flowers

Step-by-step explanation:

From the question, Paloma added a garden to her painting. She has 12 rows of flowers and each row has 13 plants in it while each plant has 15 flowers on it. To calculate the number of flowers in Palomas garden, we multiply the number of rows by the total number of plants and the number of flowers in each plant. This will be:

= 12 × 13 × 15

= 2340 flowers

Which of the following fractions would become a repeating decimal?a.1/8
b.3/4
c.27/36
d.7/9
e.5/8

Answers

Because we work in a base 10 number system, any denominator that can be expressed as a multiple of 2s 5s and 10s will not be infinite and therefore not repeating.  1/8 is 1/(2*2*2) which is .125.  3/4 is 3/(2*2) which is .75.  27/36 is a tricky one because it's not in simplest form.  You can divide the top and bottom by 9 to get 3/4 which we already know is .75.  5/8 is 5/(2*2*2) which is .625.  That leaves 7/9.  9 cannot be expressed as a multiple of 2s and 5s ad tens so it must be that one.  7/9 is .777777 repeating.
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