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DiKsa [7]
3 years ago
7

A polynomial function can be written as (x 1)(x 4)(x − 7). what are the x-intercepts of the graph of this function? (1, 0), (4,

0), (7, 0) (−1, 0), (−4, 0), (−7, 0) (1, 0), (4, 0), (−7, 0) (−1, 0), (−4, 0), (7, 0)
Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0
Easy

set to zero
those are the roots or xintersepts

(x+1)(x+4)(x-7)=0

x+1=0
x=-1

x+4=0
x=-4

x-7=0
x=7

xints are (-4,0) (-1,0) (7,0)
Sedaia [141]3 years ago
4 0

Answer:

Fourth option is correct. The x-intercepts of the given functions are (-1,0),(-4,0) and (7,0).

Step-by-step explanation:

The given polynomial function is

P(x)=(x+1)(x+4)(x-7)

To find the x-intercepts of the graph of this function, equate the given function equal to zero.

P(x)=0

(x+1)(x+4)(x-7)=0

Using zero product property, equate each factor equal to zero.

x+1=0\Rightarrow x=-1

x+4=0\Rightarrow x=-4

x-7=0\Rightarrow x=7

Therefore the x-intercepts of the given functions are (-1,0),(-4,0) and (7,0). Fourth option is correct.

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tatuchka [14]

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

8 0
3 years ago
Each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red
Y_Kistochka [10]
The probability would be 59/140 or 42.14% (rounded: 42%).
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3 years ago
Read 2 more answers
If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is​ required?

A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

n = 170.7

Rouding up

The sample size required is at least 171

5 0
3 years ago
Kim buys a new shirt for $25.50. She has to pay 8% sales tax. How much tax will be paid?​
Ainat [17]
Tax she will pay would be $2.04
4 0
2 years ago
What is the slope of the line that passes through the points (-8,-1) and (-8,11)?
lubasha [3.4K]

Answer: \text{Slope}=\Large\boxed{Unde fined}

Step-by-step explanation:

<u>Given information</u>

(x_1,~y_1)=(-8,~-1)

(x_2,~y_2)=(-8,~11)

<u>Given the formula for the slope</u>

\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}

<u>Substitute values into the formula</u>

\text{Slope}=\dfrac{(11)-(-1)}{(-8)-(-8)}

<u>Simplify the numerator and the denominator</u>

\text{Slope}=\dfrac{11+1}{-8+8}

\text{Slope}=\dfrac{12}{0}

<u />

<u>Simplify the fraction</u>

\text{Since any number divided by 0 is impossible to find, therefore: }

\text{Slope}=\Large\boxed{Unde fined}

Hope this helps!! :)

Please let me know if you have any questions

4 0
1 year ago
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