A storage rental company charges $1 for
the first month and $25 per month for the next
two months. After three months, the cost is
$20
per
month. How much would it cost to
rent a unit for 10 months?
A $151
$
B
$171
C$191
D
$211

Answer:

15x+9

Step-by-step explanation:

f(g(x))

=f(3x+2)

=5(3x+2)-1

=15x+9

Answer:

L'M'N' is scaled by 2.5

Step-by-step explanation:

10 / 4 = 2.5

20 / 8 = 2.5

The formula to find the perimeter of a rectangle is as follows:

[tex]P=2l+2w[/tex]

We're given:

⇒ Plug the given information into the perimeter formula and solve for l:

[tex]P=2l+2w\\63=2l+2(7)\\63=2l+14\\49=2l\\l=24.5[/tex]

Therefore, the length of the desk is 24.5 inches.

Answer:

Center: (2, -13)

Radius: 5√6

Explanation:

Equation: (x - 2)² + (y +13)² = 150

Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewrite the equation:

(x - (2) )² + (y - (-13))² = (√150)²

Identify following's:

h = 2, k = -13, radius = √150 = 5√6

Answer:

a) false

b) true

c) true

Step-by-step explanation:

The y-intercept of a function is the point when x = 0

⇒ f(0) = 2|0 + 2| + 3

          = 2|2| + 3

          = 4 + 3

          = 7

From inspection of the graph, the y-intercept of g(x) is (0, 7)

Therefore, the y-intercepts of f(x) and g(x) are the same.

"f(x) has a greater y-intercept" → false

From inspection of the graph, g(1) = 6

⇒ f(-1) = 2|-1 + 2| + 3

          = 2|1| + 3

          = 2 + 3

          = 5

Therefore,  g(1) > f(-1) → true

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

From inspection of the graph:

g(0) = 7

g(3) = 4

[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]

f(0) = 7  (from part (a))

f(3) = 2|3 + 2| + 3

     = 2|5| + 3

     = 10 + 3

     = 13

[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]

Function g(x) decreases over [0, 3] at the rate of -1

Function f(x) increases over [0, 3] at the rate of 2

Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true

**Please see the attached graph for reference**

The interval [0, 3] is shaded in grey

f(x) is shown in red

The added 2 points are f(-1) and g(1)

Answer:

it's 13x+30

Step-by-step explanation:

Step-by-step explanation:

here you go hopefully it helps

Answer:

A power model would best represent the relationship because scatterplot C is fairly linear.

Step-by-step explanation:

I think that is the answer but I am not sure between option 2 and 3. I would eliminate linear models for this graph for sure.

I hope I helped you a little!

Have a nice day! :)

Answer:

Rotate the second triangle, so the 30° angles line up with each other (C and D). Then you should be able to fill in the corresponding sides.

AB ≅ FG

AC ≅ FD

∠B ≅ ∠G

∠A ≅ ∠F

AC = 60

m∠F = 60°

Hope this helps.

Answer:

$5.72

Step-by-step explanation:

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

The given parameters are:

The area (y) of a square of side length x is:

y = x²

Make x the subject

x = √y

When y = 9, we have:

x = √9 = 3

When y = 4, we have:

x = √4 = 2

This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

See attachment for the graph

Read more about graphs at:

https://brainly.com/question/4025726

#SPJ1

Answer:

I think it is 4275cm square.

Answer:

Area= 4275cm

Step-by-step explanation:

The area formula for a rectangle is length x width so if we plug in the numbers and multiply we get 4275 as our product.

Answer:

4√2

Step-by-step explanation:

complex no, z=√(a2+b2)

where, a=4 and b=4

z=√(4*4+4*4)

z=√(16+16)=√(32)

z=4√2

Answer:

5.88*10^12

Step-by-step explanation:

You have to move the decimal place over 12 times and to the left, so it's positive.

Using translation concepts, it is found that the variable h shifts the function horizontally while the variable k shifts the function vertically.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The translated function is given by:

[tex]y = \sqrt[3]{x - h} + k[/tex].

The variables work as follows:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]

To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]

Result :-

The value of x is 40°.

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = 1041.66 miles per hour

Answer: 1041.66 is what is to be entered as your answer

Hi Brielle the correct answer to your question is 3.12 x 4.0 = 12.48

12.48

Your answer should be 12.48 I hope that helps you

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

Answer:

  D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

  x is always 1/4

Answer:

  160

Step-by-step explanation:

Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...

  length: 4 in ⇒ 4×2 = 8 cubes

  width: 2 in ⇒ 2×2 = 4 cubes

  height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes

Then the number of cubes required to fill the prism is ...

  8 × 4 × 5 = 160 . . . . cubes

The volume of the prism is equivalent to that of 160 1/2-inch cubes.

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

Answer:

200

Step-by-step explanate

100+100 = 200

used a calculator

Answer:

21

Step-by-step explanation:

To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

Answer:

AB=20, BC=40

Step-by-step explanation:

Let AB be x

Therefore, ATQ:

x+2x=60

x=60/3=20

AB=20

And BC =2(AB)

So BC=2*20=40

Answer:

53000

Step-by-step explanation: