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2 years ago

15

Which relationships have the same constant of proportionality between y and x as in the equation y=1/3x?

1 answer:

Marina CMI [18]2 years ago

4 0

Y and X is urgent answer

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Peter wants to put 2 coats of paint on both the inside and outside of the walls. There are 5 walls, each side having 45 ft2 of p

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2 years ago

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Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio $r$ . For example, we can say:

$a_2 = a_1 r$

$a_3 = a_2 r = (a_1 r)r = a_1 r^2$

We have $a_1 = 64$ . To find $a_2$ , let's multiply this term by $\frac{5}{4}$ :

$a_2 = 64 \cdot \frac{5}{4} = 80$

Now, let's use this to find all of our other terms:

$a_3 = 80 \cdot \frac{5}{4} = 100$

$a_4 = 100 \cdot \frac{5}{4} = 125$

$a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}$

Thus, our terms are 64, 80, 100, 125, and (625/4).

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2 years ago

Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2

BigorU [14]

we have

$(x + 2)^{2}-9=-5$

Adds $9$ both sides

$(x + 2)^{2}-9+9=-5+9$

$(x + 2)^{2}=4$

square root both sides

$(x+2)=(+/-)\sqrt{4}\\(x+2)=(+/-)2\\x1=2-2=0 \\x2=-2-2=-4$

therefore

<u>the answer is</u>

the resulting equation is $(x+2)=(+/-)2$

6 0

2 years ago

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Use the geometric definition of the cross product and the properties of the cross product to make the following calculations. (a

kirill [66]

Answer:

Step-by-step explanation:

we know

$\vec{i}\times \vec{j}=\vec{k}$

$\vec{j}\times \vec{k}=\vec{i}$

$\vec{k}\times \vec{i}=\vec{j}$

(a) $\left [ \left ( \hat{i}+\hat{j}\right )\times \hat{i}\right ]\times \hat{j}$

$=\left [ \hat{i}\times \hat{i}+\hat{j}\times \hat{i}\right ]\times \hat{j}$

$=\left [ 0-\hat{k}\right ]\times \hat{j}$

$=\hat{i}$

(b) $\left ( \hat{j}+\hat{k}\right )\times \left ( \hat{j}\times \hat{k}\right )$

$=\left ( \hat{j}+\hat{k}\right )\times \left ( \hat{i}\right )$

$=\hat{k}+\hat{j}$

(c) $4\hat{i}\times \left ( \hat{i}+\hat{j}\right )$

$=4\hat{i}\times \hat{i}+4\hat{i}\times \hat{j}$

$=0+4\hat{k}$

(d) $\left ( \hat{k}+\hat{j}\right )\times \left ( \hat{k}-\hat{j}\right )$

$=\hat{k}\times \hat{k}-\hat{k}\times \hat{j}+\hat{j}\times \hat{k}-\hat{j}\times \hat{j}$

$=0+\hat{i}+\hat{i}-0$

$=2\hat{i}$

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2 years ago

Which statements about the graph of the function f(x) = 2x^2– x – 6 are true? Select two options.

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1) f(x) = 2x^2– x – 6 is a quadratic function.

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2) Its graph opens up.

3) The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6) The y-intercept is at f(0): 2(0)^2 - 0 - 6 = -6 => (0, -6)

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1 year ago

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