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3 years ago

Which of the following points is a solution of |x|=-5

1 answer:

4 0

An absolute value of any number cannot result in a negative number.

There are no possible points where |x| can equal -5.

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Four minus three y equal 98

ankoles [38]

do you mean 4-3y=98 if so your answer would be y=31.3333333

8 0

3 years ago

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

35 POINTS!!!!

labwork [276]

A) 264 ft would be how far he does one lap around the track

6 0

3 years ago

In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them d

KengaRu [80]

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%

6 0

3 years ago

A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6in long are cut from the four corners and the

aleksandrvk [35]

Check the picture below.

$\bf V=3354~in^3\qquad \qquad 3354=6(w-12)(w+18)
\\\\\\
\cfrac{3354}{6}=w^2+6w-216\implies 559=w^2+6w-216
\\\\\\
0=w^2+6w-775\implies 0=(w+31)(w-25)\implies w=
\begin{cases}
-31\\
\boxed{25}
\end{cases}$

since the width is just a dimension unit, it can't be -31.

what is the length? well, the length is w + 30.

6 0

3 years ago