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2 years ago

Is the following relation a function? (1 point) y X OYes O No

Mathematics

1 answer:

Ksju [112]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

It is a many to one function, means every element of the domain has more than one image at codomain after mapping.

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The tables below show the values of Y for different values of X

pogonyaev

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Rate of change 'm' = $\frac{y_2-y_1}{x_2-x_1}$

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = $\frac{9-6}{-4-(-2)}$

m = $\frac{3}{-2}$

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = $-\frac{3}{2}(x+2)$

y = $-\frac{3}{2}x-3+6$

y = $-\frac{3}{2}x+3$

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

3 0

2 years ago

Derivative of <br> <img src="https://tex.z-dn.net/?f=x%5E%7B3%7D" id="TexFormula1" title="x^{3}" alt="x^{3}" align="absmiddle" c

ch4aika [34]

$f(x)=x^3e^{2x}\\\\f'(x)=(x^3e^{2x})'\qquad\text{use}\ (f\cdot g)'(x)=f'(x)g(x)+f(x)g'(x)\\\\=(x^3)'(e^{2x})+(x^3)(e^{2x})'\\\\\text{use}\ (x^n)'=nx^{n-1}\ \text{and}\ (e^x)'=e^x\ \text{and}\ f'[g(x)]=f'(g(x))\cdot g'(x)\\\\=3x^2e^{2x}+x^3e^{2x}\cdot2\\\\=\boxed{3x^2e^{2x}+2x^3e^{2x}}$

5 0

3 years ago

The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisi

11Alexandr11 [23.1K]

Answer:

26 boxes of raisin bars

Step-by-step explanation:

Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.

1152-528=624 ➗ 24 = 26

7 0

3 years ago

XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?

Rom4ik [11]

Answer:

17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

50 = 15 + 2·WZ

35 = 2·WZ

35/2 = WZ = 17.5

The length of WZ is 17.5 units.

6 0

2 years ago

Choose the correct description of the graph of the compound inequality : x - 1 < 12 or 2x > 30.

sveta [45]

I think it’s d to be honest I also may be wrong.

7 0

3 years ago