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3 years ago

What is the range of the function f(x) = |x| – 3?

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Range:

y >= - 3

hope it helps

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The polynomial p(x)=x^3-19x-30 has a known factor of (x+2)

riadik2000 [5.3K]

Answer:

(x+2) (x+3) (x-5)

Step-by-step explanation:

x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)

x³ + 0*x² - 19x -30 = x³ + (2+a)x² + (2a-15)x -30

2+a = 0

a = -2

x³-19x-30 = (x+2) (x²-2x-15) = (x+2) (x+3) (x-5)

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3 years ago

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Help please! !!!!! !!!!

zhannawk [14.2K]

Answer:

I would assume it's all but the second one (earned $60 over the summer=false)

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3 years ago

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The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).

Mamont248 [21]

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is letter B.

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3 years ago

Naddik [55]

Answer:

what a confusing question?

Step-by-step explanation:

im guessing 3 feet

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2 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 $72,449.19

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3 years ago

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