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emmasim [6.3K]
3 years ago
11

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

The answer to your question is: the answer is the second one

Step-by-step explanation:

Data

F(x) = 2x - 1

G(x) = 3x + 2

H(x) = x²

Find  H(x + a) - H(x)

H(x + a) = (x+a)²                                          substitution

             = x² + 2xa + a²                              expanding

H(x + a) - H(x) =  x² + 2xa + a² - x²              simplifying

H(x + a) - H(x) =  2xa + a²  or a² + 2ax

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3 0
3 years ago
The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

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From ( 1 ) and ( 2 ) ,

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( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0
3 years ago
Compare the numbers. Use >, =, or <
lesya692 [45]

Answer:

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Step-by-step explanation:

4 0
3 years ago
URGENT HELP <br> *read photo for both questions*
solniwko [45]

SeconAnswer:

Step-by-step explanation:

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What are the lengths of DE and EF. Answer with supporting work:
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