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3 years ago

Solve the following system of equations algebraically:y = 4x^2 + 17x + 14 y = 2x + 5

Mathematics

1 answer:

blondinia [14]3 years ago

6 0

Answer:

When x = -3 y = -1

When x = -3/4 y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5

Set each equation equal to each other

4x^2 + 17x + 14 = 2x + 5

Subtract 2x from each side

4x^2 + 17x-2x + 14 = 2x-2x + 5

4x^2 + 15x + 14 = 5

Subtract 5 from each side

4x^2 + 15x + 14-5 = 5-5

4x^2 + 15x +9 = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0 x+3 =0

4x = -3 x=-3

x = -3/4 x=-3

Now we need to find y for each x

x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1

When x = -3 y = -1

x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4 y = 7/2

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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, whe

Len [333]

Answer:

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Step-by-step explanation:

Given function that shows the change rate of computers,

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According to the question,

S(0) = 2,440,

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$S(t) = -18t^\frac{5}{3}+2440$

If S(t) = 1,000,

$-18t^\frac{5}{3}+2440=1000$

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3 years ago

I really need help on this problem respond ASAP

blsea [12.9K]

First find the area of the leftmost rectangle:

A=l*w
A=4*2 (the 2 comes from 5-3)
A=8

Then find the area of the rightmost rectangle:

A=l*w
A=3*3 (the second 3 comes from 4-1)
A=9

So when you add 8 and 9, you get 17

Hope this helps

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Solve the following system of equations algebraically:y = 4x^2 + 17x + 14 y = 2x + 5​

Solve the following system of equations algebraically:y = 4x^2 + 17x + 14 y = 2x + 5