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Marat540 [252]
3 years ago
7

Which is the graph of the parent function f(x) = x^2

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

D

Step-by-step explanation:

f(x) = x^2 is a parabola , which is D

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5-2x=15<br><img src="https://tex.z-dn.net/?f=5%20-%202x%20%3D%2015" id="TexFormula1" title="5 - 2x = 15" alt="5 - 2x = 15" align
padilas [110]
<span>5-2x=15

</span>5-2x=15 \\  \\ -2x= 15-5  \\  \\ -2x= 10 \\  \\ x=  \dfrac{10}{-2} \to  \boxed{x= -5}<span>
</span>
6 0
3 years ago
Three persons EB and C work together on a job and finish it finish it in 18 days if E and be working together can finish the job
nikitadnepr [17]

Answer:  30 days

<u>Step-by-step explanation:</u>

Working together, E & B get 1/45 of the job done per day

Working alone, C gets 1/x of the job done per day

Working together, E, B, & C get 1/18 of the job done per day.

EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad  \large\boxed{30=x}

7 0
3 years ago
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
Rina8888 [55]

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

<em>H</em>₀: The food preferences among vole species are independent of one another.

<em>Hₐ</em>: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the <em>p</em>-value as follows:

p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091

The <em>p</em>-value = 0.091 > <em>α </em>= 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

4 0
3 years ago
Someone down to help...............
LiRa [457]
(5,6) since it’s reflected from the x-axis (left to right)
6 0
3 years ago
Examine this system of equations. What integer should the second equation be multiplied by so that when the two equations are ad
Zepler [3.9K]

Answer:

Step-by-step explanation:

we should multiply the 1/8 on the 2nd equation, by some number "n", such that our result will be equals to -3/4, namely the above x-coefficient but negative, or different sign, so (rest of the explanation is in the picture attached)

3 0
2 years ago
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