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2 years ago

5

What is gross income?

1 answer:

ch4aika [34]2 years ago

3 0

Answer:

Gross income is money earned after taxes are taken from a paycheck.

Gross income is money earned after taxes are taken from a paycheck.

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Express your answer as a polynomial in standard form.

lana [24]

9514 1404 393

Answer:

f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

<u>Given</u>:

f(x) = -x-7

g(x) = 3x^2 +2x -4

<u>Find</u>:

f(g(x))

<u>Solution</u>:

Substitute per the function definitions.

f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

f(g(x)) = -3x^2 -2x -3

7 0

2 years ago

Find a constant c for which p(z ≥ c.= 0.1587. round the answer to two decimal places.

Vikki [24]

What you see in the z score table is P(z< a constant), for P( z≥ a number), subtract the probability from 1:
1-0.1587=0.8413
on the z score table, you will see that p(z<1.00)=0.8413
so c=1.00

8 0

2 years ago

Going through York Canal, he drives 5 miles in 15 minutes. Later on as he crosses Stover Lake, he drives 30 minutes at the same

SVETLANKA909090 [29]

When going through York Canal, his speed is 1 mile per 3 minutes.

If going by this speed while crossing Stover Lake, he would drive 10 miles in 30 minutes.

Therefore, he drove 10 miles.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

2 years ago

What is the solution of the equation when solved over the complex numbers?<br><br> x^2+27=0

Luba_88 [7]

Answer:

(0,27)

Step-by-step explanation:

x2 + 27 = 0

Solutions based on quadratic formula:

x1

= −0 − √ 02 − 4×1×27 2×1 = 0 − 6 × √ 3 i 2 ≈ −5.196152i

x2

= −0 + √ 02 − 4×1×27 2×1 = 0 + 6 × √ 3 i 2 ≈ 5.196152i

Extrema:

Min = (0, 27)

8 0

3 years ago

Read 2 more answers