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Bess [88]
3 years ago
9

I'm timed!!! Please help me.

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0
25x2-64



Step by step equation

Given Factor: factor 5x-8

We have to choose the expression out of given option that the difference squares of the factor of 5x-8

Using algebraic identity: a2-b2=(a+b)(a-b)
a difference squares is written mathematically as a2-b2
Since one factor is 5x-8
Using identity stated above other factor has been 5x+8
Thus(5x+8)(5x-8)
So it should be like this
(5x+8)(5x-8)=(5x)2-8^2=25x2-64

Brums [2.3K]3 years ago
5 0

Answer:

ok so differnce of 2 perfect ssquares are

x^2-y^2=(x-y)(x+y)

we are given

one factor is 5x-8

remember that all you do is square both terms individually to get them

(5x)^2=25x^2

8^2=64

they are difference so

25x^2-64 is answer

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2. Determine the number of all possible diagonals drawn for polygon having a. 7 sides b. 10 sides c. n - sides​
san4es73 [151]

Answer:

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3 years ago
Sophia expects the number of cows, C C, on her farm t t years from now to be modeled by the function C ( t ) = 3 0 ( 2 ) C(t)=30
topjm [15]

Answer:

The expression is given as:

H(t)=C(t)\times F(t)=240\times 3^t.

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

C( t ) = 30\times (2)^t

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

F( t ) =8\times (1.5)^t

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

H(t)=30\times 8\times (2)^t\times (1.5)^t

and we know that a^x\times b^x=(a\times b)^x=(ab)^x

Hence,H(t)=240\times (2\times 1.5)^t\\\\H(t)=240\times 3^t.

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

H(t)=C(t)\times F(t)=240\times 3^t.


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