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3 years ago

Write the equation of the quadratic function in standard form represented by the graph.

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

y = x^2 +6x+8

Step-by-step explanation:

First find the zeros, -4 ,-2

y =a (x - -4) (x - -2)

y = a(x+4)(x+2)

Then it is multiplied by a constant so pick a point on the curve and solve for the constant

We will use (0,8)

8 = a(0+4)(0+2)

8 = a(8)

a =1

y = (x+4)(x+2)

Writing in standard form

FOIL

y = x^2 +2x+4x+8

y = x^2 +6x+8

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3 years ago

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3 years ago

Multiply 5x(x-2)(2x+1)

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3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

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3 years ago

Read 2 more answers

Solve the equation 3 x+5 y=16 for y

Liono4ka [1.6K]

Answer:

Y = (16 - 3x)/5

Step-by-step explanation:

3x + 5y = 16

subtract 3x from both sides:

16-3x = 5y

divide both sides by 5:

(16 - 3x) / 5 = y

hope this helps

8 0

3 years ago