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3 years ago

4 is added to one fifth of w

1 answer:

4 0

You set it equal to 0 then solve. you would move 4 over to the other side so you would have 1/5w=-4 then multiply -4 by the opposite of 1/5 which is 5. and you get

w= -20

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(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.

frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)$

$m=\frac{2-\left(-1\right)}{10-6}$

Refine

$m=\frac{3}{4}$

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0

3 years ago

Ms. Ford is buying bundles of virgin hair from She’s Happy Hair that costs $75 per bundle, but $42.50 for shipping. If Ms. Ford

Pani-rosa [81]

Answer: 7 bundles.

Step-by-step explanation:

The cost per bundle is $75.

The cost for shipping is $42.50

She spent $567.50 in total.

The shipping is paid only one time, as all the bundles can be packaged togheter.

Then after paying the shipping, the left spent is:

$567.50 - $42.50 = $525

And each bundle costs $75, then the number of bundles that she bought will be equal to the number of times that we have $75 in $525. This is equal to the quotient between $525 and $75.

N = $525/$75 = 7

She bought 7 bundles

3 0

2 years ago

PLZ HELP ME!!!

AnnZ [28]

Answer:

A: $6x^2(x^8-16)$

B: $6x^2(x^4+4)(x^2+2)(x^2-2)$

Step-by-step explanation:

A:

Our expression is $6x^{10}-96x^2$ . We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:

$6x^{10}-96x^2$

$x^2(6x^8-96)$

Let's see if 96 is divisible by 6:

96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:

$x^2(6x^8-96)$

$6x^2(x^8-16)$

Thus, the answer to part A is $6x^2(x^8-16)$ .

B:

Look at the $x^8-16$ part of the above factored expression. Notice that it is a difference of squares (because $x^8=(x^4)^2$ and 16 = 4²), so we can write this as:

$x^8-16$

$(x^4+4)(x^4-4)$

Now take a look at the $(x^4-4)$ part. Again, it's a difference of squares because $x^4=(x^2)^2$ and 4 = 2², so rewrite that as:

$x^4-4$

$(x^2+2)(x^2-2)$

Put it all together:

$6x^2(x^4+4)(x^2+2)(x^2-2)$

Thus, the answer to part B is $6x^2(x^4+4)(x^2+2)(x^2-2)$ .

6 0

2 years ago

X= 5y + 7 2x + 4y = 0 Solve for substitution

algol13

Answer:

x=2 and y= -1

Step-by-step explanation:

substitute x value in equation 2

2(5y+7)+4y=0

10y+14+4y=0

14y = -14

y= -1

here,

x= 5(-1)+7

x= -5+7

x=2

8 0

2 years ago

Read 2 more answers

I don't get this I need help

Finger [1]

In this question, you are given the volume of cylinder (24 $\pi$ cubic unit) and the ratio of the height:radius (3:1). Putting it into equation, it will look like this:
volume= 24 $\pi$ cubic unit
height = 3 radius
radius = 1/3 height

Using the volume formula of cylinder you will got the height
Volume= $\pi$ * radius * radius * height
24 $\pi$ cubic unit = $\pi$ *(1/3 height) * (1/3 height) * height
24 $\pi$ cubic unit / $\pi$ = 1/9 height cubic
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit

4 0

3 years ago