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3 years ago

Find the zeros of the polynomial x2-7please answer step by step

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

To find the zeros equate the polynomial to zero, that is

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± $\sqrt{7}$

Thus the exact solutions are

x = - $\sqrt{7}$ , x = $\sqrt{7}$

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Write an equation in point-slope form for the line that passes through the point with the given slope.

Over [174]

Answer:

y=0x+6

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP

LekaFEV [45]

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

5 0

3 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

Where is the hole for the following function located?

Drupady [299]

<em>At x = -3 is located a hole. </em>

<h2>Explanation:</h2>

In this problem, we have the following function:

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

A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:

$(x-4)(x+3)=0$

From this equation, we get two solutions:

$x=4 \\ \\ x=-3$

At those x-values the function will have a hole. From the choices:

<em>At x = -3 is located a hole. </em>

<h2>Learn more:</h2>

Derivative: brainly.com/question/13419010

#LearnWithBrainbly

7 0

3 years ago

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Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector <−6, 3>.

jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

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2 years ago

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Find the zeros of the polynomial x2-7​please answer step by step

Find the zeros of the polynomial x2-7please answer step by step