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3 years ago

What is the value of the expression a2 + b3 when a= 1/3 and b= 1/2 ?

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

B. $\frac{17}{72}$

Step-by-step explanation:

${a}^{2} + {b}^{3} \\ \\ = \bigg( \frac{1}{3} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{9} + \frac{1}{8} \\ \\ = \frac{8 + 9}{9 \times 8} \\ \\ = \frac{17}{72} \\$

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Which relation is a function?

zimovet [89]

Answer:

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3, 2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

B. {(4, 2), (3, 3), (2, 4), (3, 2)}

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1, 2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3, 2), (4, 1)}

This doe NOT repeat. Function.

6 0

2 years ago

A cylinder has a radius of 12.2 inches and a height of 6.1 inches.

Anna [14]

A cylinder has a radius of 12.2 inches and a height of 6.1 inches. What is the volume of the cylinder to the nearest tenth in³?

C. 2852.3 in³

8 0

2 years ago

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How to solve this <img src="https://tex.z-dn.net/?f=540in%20%3D%20%20%5C%3A%20yd" id="TexFormula1" title="540in = \: yd" alt

Gnom [1K]

Answer:

15 yds

Step-by-step explanation:

12 in = 1ft

3 ft = 1yd

to convert

540 in * 1ft/12 in * 1yd /3 ft = (540 * 1 * 1)/ (12*3) = 540/36 =15 yds

all the units canceled except for yds

5 0

2 years ago

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(30 points)

Pani-rosa [81]

The vertices of the triangle are the points where any pair of lines intersect.

We start by setting up the system

$\begin{cases}y=-x+2\\y=2x-1 \end{cases} \iff -x+2=2x-1 \iff 3x=3 \iff x=1$

Using one of the two equations we can derive the correspondent y value:

$f(x)=-x+2 \implies f(1)=-1+2 = 1$

So, one vertex is (1, 1)

We choose the other two pairs of lines to find the other vertices:

$\begin{cases}y=-x+2\\y=x-2 \end{cases} \iff -x+2=x-2 \iff x=2 \implies y = 0$

$\begin{cases}y=x-2\\y=2x-1 \end{cases} \iff x-2=2x-1 \iff x=-1 \implies y=-3$

So, the three vertices are (1, 1), (2, 0), (-1, -3).

8 0

2 years ago

The tables given are for the linear functions f(x) and g(x) what is the input value for which f(x)= g(x) is true? X=

solniwko [45]

It's asking us to find the input value x such that f(x) = g(x). So let's look at the columns f(x) and g(x). We can see that both f(x) and g(x) have the value of 3. The x-value at which f(x) = g(x) = 3 is x = –1.

Thus the answer is x = –1.

4 0

3 years ago

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