All categories

2 years ago

What is the equation of the line that has a slope of 0 and a y-intercept of -2/3

Mathematics

1 answer:

BartSMP [9]2 years ago

8 0

Answer:

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

from

$y = mx + c$

Step-by-step explanation:

since the gradient of the line is 0

You might be interested in

What is 70/10 equivalent fraction?

kaheart [24]

The answer is 7 because 70 ÷ 10 = 7.

6 0

3 years ago

there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the prob

ivanzaharov [21]

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

3 0

3 years ago

Vanessa is cutting 200 centimeter long pieces of string to attach to balloons how many pieces can she cut from 40 m of string.

Ainat [17]

200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces

8 0

2 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

2 years ago

Direct variation or not a direct variation<br><br> y=5/x

MrRissso [65]

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = $\frac{5}{x}$ is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = $\frac{k}{x}$ ← k is the constant of variation

y = $\frac{5}{x}$ is in this form and represents inverse variation

7 0

2 years ago