Write the equation of the line in slope intercept form that is perpendicular to the line y=-(3/2)x +7. Show your work

Range is [tex]y\in[-3,+\infty)[/tex].

Hope this helps.

Answer:

[tex]m=12f[/tex]

Step-by-step explanation:

The measurement in inches =m

The measurement  in feet = f

We are told that: m varies directly with f

Written mathematically:

[tex]m\propto f[/tex]

Introducing the constant of variation, we have:

[tex]m=k f[/tex]

Given that: k=12

The equation relating these two quantities is:

[tex]m=12f[/tex]

Answer:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Step-by-step explanation:

In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:

y = 6.5x + 5

Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

The answer should be like

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Since we know that the equation should be in the form of

y = mx + b

So, here

y = 6.5x + 5

Here  x is the hours and y are the charges for the babysitting.

So, the table be like

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Learn more about hours here: https://brainly.com/question/17091264

Answer:

x

Step-by-step explanation:

f(x)=2x+5

Input: x

Output: f(x)

For i.e:

Input: 1

Output: f(1) = 2(1) + 5 = 2 + 5 = 7

Answer:

Z (The one on the bottom right)

Step-by-step explanation:

You said that the y intercept goes down by 1 unit which makes only W and Z possible.

The slope is 1/2 and if you multiply that by -4 the new slope is -2 which means the change in y is -2 every time the change in x is 1. Which perfectly fits Z and if you have any questions please ask me with the comments!

Answer:

.15* house price = 28,500

house price = 28,500 / .15

house price =  190,000

Step-by-step explanation:

Answer: 190,000

Step-by-step explanation:

the equation looks like this - .15x=28,500. then you divide both sides by .15 and get x=190,000

Answer:

C.

Step-by-step explanation:

It's the most reasonable answer.

Step-by-step explanation:

here, the given point is (-7,-3)

now, by the formula,

p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)

p(-5,3)= p-1 (-13,-1) is answer.

hope it helps..

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2​, 10​, 15​, 3​, 13​, 9​, 14​, 7​, 2​, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

Answer:

Step-by-step explanation:

[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]

Answer:

(4, -3)

Step-by-step explanation:

the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.

So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:

Minimum point = (-1 + 5, -3) = (4, -3)

So the minimum point of y = f(x - 5) is (4, -3).

The minimum point on the graph of y = f(x - 5) is (-6,3)

On the graph of the equation y = f(x);

The minimum point is given as (-1,-3)

The graph of y = f(x - 5) means that, f(x) is shifted to the right by 5 units

So, the corresponding point of (x,y) of f(x) on the graph of f(x - 5) is:

[tex](x,y) \to (x - 5,y)[/tex]

This gives

[tex](-1,-3) \to (-1 - 5,3)[/tex]

Subtract 5 from -1

[tex](-1,-3) \to (-6,3)[/tex]

Hence, the minimum point on the graph of y = f(x - 5) is (-6,3)

Read more about translation at:

https://brainly.com/question/17721227

the first number is 11 and the second one is 26

Answer:

this is the answer with the working

Answer:

y = 3.5 + (1/8)x

Step-by-step explanation:

Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:

Speed = distance / time.

The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.

Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:

Speed = distance / time

1/8 = distance / x

distance = (1/8)x miles.

y = sum of the distance to Charlestown and the distance from Charlestown to Lexington

y = 3.5 + (1/8)x

Answer:

C(5, 4)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Answer:

(5, 4)

Step-by-step explanation:

when you reflect off the y-axis, you switch (x,y) to (-x,y)

So

(-5, 4) --> (5, 4)

Hope this helps,

Feel free to ask more questions if I need to explain more.

Answer:

Cost=x25+200

Step-by-step explanation:

The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.

Answer:

$300

Step-by-step explanation:

The couch is sold in two ways; outright payment or installment payment.

Outright payment would cost = $820

Installment payment = down payment + monthly charges

Down payment = $400

Monthly charges for a period of one year (12 months) = 12 × $60

                                         = $720

Installment payment would cost = $400 + $720

                                            = $1120

Amount saved by paying total amount at the time of purchase = $1120 - $820

                                             = $300

Thus, the outright buying the couch would save $300.

Answer:

Step-by-step explanation:

Given the formula

f(n) = n² + 5

where n is the number of terms

So from the question we were told to find the 5th term that's

n = 5

In order to find the 5th term substitute the value of n that's 5 into the rule

We have

f(5) = 5² + 5

= 25 + 5

= 30

So the 5th term of the sequence in the given rule is 30

Hope this helps you

Answer:

Your answer is -3.5 which lies between -4 and -3.

The point R is halfway between the integers on the number line below and represents the number -3.5 .

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]z = \dfrac{x - 170000 }{16500}[/tex]

Now;

[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]

[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]

[tex]{T- 170000}<- 2.06({16500})[/tex]

[tex]{T- 170000}< - 33990[/tex]

[tex]{T}< - 33990+ 170000[/tex]

[tex]{T}<136010[/tex]

Thus; the guarantee period should be less than 136010 miles

Answer:

18.97 units  

Step-by-step explanation:

Assume that the pool looks like the diagram below.

The pool consists of two equal right triangles.

We know that AB = CD = 3.16.

1. Find the length of the pool

AD = BC,  and we can use Pythagoras' Theorem to calculate AD.

  AB² + AD² = BD²

 3.16² + AD² = 7.07²

9.986 + AD² = 48.98

             AD² = 48.98 - 9.986 = 40.00

             AD   = 6.324

2. Find the perimeter of the pool

P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97

Alex will need 18.97 units of tile to surround the pool.

Alex will need 13.42 units of tile to surround his pool.

A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).

To find the units  of tiles that are needed to surround the pool ABCD with a single line of tiles  is equal to the perimeter of the rectangle

Perimeter of the rectangle = 2 length+2 width

In the figure, the width is given as 2.24 units and the diagonal is 5 units.

So we can find the length using the Pythagorean theorem, which is c²=a²+b².

Now, 5²=(2.24)²+b²

b=4.47 units

Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)

= 8.94 + 4.48

The perimeter of the rectangle = 13.42 units

Thus, Alex will need 13.42 units of tile to surround his pool.

To learn more about the perimeter of the rectangle visit:

https://brainly.com/question/15287805.

#SPJ5

Answer:

A

Step-by-step explanation:

When subtracting 7 on the left of the equation, he also needs to subtract 7 from the right of the equation.

Step 2 should be:

⅓X +7 -7= 15 -7

What he is trying to do here by subtracting 7 is to move all the constants, that is numbers without any variables such as x, to one side of the equation.

⅓X= 8

X= 8 ×3

X= 24

Answer:

100% = 65 Gallons; 70% = 45.5 Gallons

Step-by-step explanation:

The important piece of information here is that 13 gallons of water makes the container 1/5 of the way full, aka 20%.  If the question is simply, how many gallons will it hold, then we multiply 13 by 5 to get 100% at 65 gallons.  To get the amount held at 7/10, or 70%, we simply multiply 65 with 7/10 to get 45.5 gallons.

Cheers.

Answers:

Step-by-step explanation:

I solved the problem.

Answer:

1.2 miles

Step-by-step explanation:

5.3 - 4.1 = 1.2 miles

Answer:

Step-by-step explanation:

5.3 - 4.1 = 1.2

1.2 miles difference.

This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.

Hope this helped,

kavitha

Greetings from Brasil...

We know that the entire length of a circle its:

C = 2πR

C = 2π8

C= 16π      circumference length

now rule of 3:

 length              º

  16π   ---------  360

     X   ---------  135

360X = 135 · 16π

X = 2160π/360

Answer:

1/2x

Step-by-step explanation:

To find the slope of a line with only 2 points we use the following formula.

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we fill it in with the following points,

(7,1)

(5,0)

0 is y2 and 1 is y1 0-1 = -1

5-7 = -2

Slope: 1/2

Thus,

the slope of the line is 1/2.

Hope this helps :)

Answer:

A

Step-by-step explanation:

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