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3 years ago

Y=x^3 + 2x^2 - 5x - 6; (x+1) Please show all work

Mathematics

1 answer:

Ganezh [65]3 years ago

7 0

You just need to put (x+1) wherever you see x at.
y=(x+1)^3 + 2(x+1)^2 -5(x+1) -6
y= x^3 +1 +2x^2+2-5x-5-6
y=x^3+2x^2-5x -10

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Draw and shade figures that represent 50%, 25%, and 150%. Label each figure and described it in words. How do I answer this ques

muminat

See photo for drawing.
Words:
Suppose a square is 100%,
50%: the square is divided into two equal parts, and one of them is shaded, therefore it is 50%.
25%: the square is divided into 4 equal parts, and one of them is shaded, therefore it is 25%.
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3 years ago

Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How

Leto [7]

Answer: $1040

A = P + I

A = Total

P = Principal

I = Interest

First find the total amount

A = 640(4)(9)

A = 23040

Plug In the Numbers

23040 = 22000 + I

Substract 22000 on both sides

I = $1040

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2 years ago

Please help !Suppose that the height in centimeters of a candle is a linear function of them out of time in hours it has been bu

Elan Coil [88]

Answer:

17.8 cm

Step-by-step explanation:

In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...

(-3.4 cm)/(17 h) = -0.2 cm/h

In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.

The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.

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3 years ago

What are the x-intercepts of the equation? <img src="https://tex.z-dn.net/?f=r%28x%29%20%3D%20x-1%2Fx%2B4" id="TexFormula1"

cestrela7 [59]

Answer:

The only x-intercept is x = 1

Step-by-step explanation:

The equation is:

$r(x)=\frac{x-1}{x+4}$

We can substitute y for r(x), to write in the notation:

$r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}$

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

$y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1$

The only x-intercept is x = 1

3 0

2 years ago

In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0

3 years ago