The cost of a service call to fix a washing machine can be expressed by the linear function Y = 45x+35, where y represents th
total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?

Answer: 42 kmh

Step-by-step explanation:

Speed = distance / time

= 189 / 4.5

= 42 kmh

Answer:

Average Speed = 42 km/hr

Step-by-step explanation:

Given:

Distance = 189 km

Time = 4.5 hours

Required:

Average Speed = ?

Formula :

Average Speed = Total Distance Covered/ Total Time Taken

Solution:

Putting the givens

Average Speed = 189/4.5

Average Speed = 42 km/hr

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

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Answer:

g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Step-by-step explanation:

The statement that best compares the graph of  g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:

Given the function

f(x) = x²  and g(x) = (1/4x)² the image of f(x) after one transformation.  

The transformation shows that g(x) stretches away from y-axis.  

Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).

Then we use the scale factor to divide g(x)

1 ÷ ¼ = 1 x 4/1 = 4  

So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Answer:

Midpoint of the line segment = ( 0.5 ,-3.5) =

Step-by-step explanation:

Given the co-ordinates of two points are

(-2 , -5) and ( 3, -2)

Let    (x₁ , y₁) = ( -2 , -5)

        (x₂ , y₂) = ( 3 , -2 )

Midpoint of the line segment

                          =       [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]

Midpoint of the line segment

                          =       [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]

Midpoint of the line segment = ( 0.5 ,-3.5)

Answer:

9.12 x time x kilowatt

Step-by-step explanation:

- 6 x⁴ - 4 x³ + 7 x² - 2 x

+ .. . . - 6 x³ + 4 x² - 8 x + 10

------------------------------------------------------

-6 x⁴ -10 x³ + 11 x² -10 x + 10

Answer:

A

Step-by-step explanation:

[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]

Hope this helps!

The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)

7x + 3y = - 3

y = - 2x

Substitute the value of y in equation(i)

Therefore,

7x + 3(- 2x) = -3

7x  - 6x  = -3

x = -3

Let's find y by substituting the value of x in equation(ii)

y = -2x

y = -2(-3)

y = 6

Therefore, the solution set of the equation is (-3, 6)

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The perimeter of small polygon is 50 units. The length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.

Polygon in geometry is "any closed curve consisting of set line segments connected such that two segment across".

According to the question,

Lengths of sides of polygon is 5 units, 7 units, 8 units, 11 units, and 19 units.

Formula for Polygon = sum of sides

Perimeter of first polygon =  5 + 7 + 8 + 11 +19

                                           =  50 units.

Perimeter of second polygon = 75 units.

Divide second polygon by first polygon =  75/50 = 1.5 units

This conclude, second polygon is  1.5 units larger than first polygon.

In order to find the length of the sides of  larger polygon by given, first polygon and second polygon are similar polygon multiply 1.5 units to the  length sides of first Polygon.

5 * 1.5 = 7.5

7 * 1.5 = 10.5

8 * 1.5 = 12

11 * 1.5 = 16.5

19 * 1.5 =  28.5

Hence, the length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.

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Answer:   Z²+ 9Z + 8

Step-by-step explanation:

You take the two z's and times them to get Z² then you do the Z times 1 to get  1Z then you do the Z times 8  to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z.  The you put it in standard form to get Z²+9Z+8

Answer:

B. 32

Step-by-step explanation:

5+3=8

8×4=32

// have a great day //

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

Answer:

10

Step-by-step explanation:

took the test on edge

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

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Answer:

The answer is: 12 total candies

Step-by-step explanation

c = caramel-flavored

s = strawberry-flavored

so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

Divide both sides by 6

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

Answer:

1.28 Step-by-step explanation: got

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]

Answer:

The answer is A: (3,6)

Answer:

Multiply 60 by 2.5 centimetres

60×2.5=150

Answer: 4 units

Step-by-step explanation:

The side that is opposite of B would be the side that is across from B

3 is across from A

5 is across from C

4 is across from B

The question is an illustration of right triangles

The length of the side opposite angle B is 4 units

From the figure, we can see that the triangle is a right triangle, with the following angles

Angle B

Angle A

Angle C

The triangle is right-angled at angle C.

From the figure, the length opposite angle B is length AC.

Where

AC = 4

Hence, the length of the side opposite angle B is 4 units

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Answer:

x= 5t - a

Step-by-step explanation:

6x + a = 5(x+t)

If you expand 5(x+t), you will get 5x + 5t

i.e. 6x + a = 5x + 5t

Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)

i.e. 6x + a - 5x = 5x + 5t - 5x

     x + a = 5t

Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)

i.e. x + a - a = 5t - a

x = 5t - a

Hope this helps!!!

Answer: dodecahedron

Step-by-step explanation:

Answer:

Option A

Explanation:

Decahedron

The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.

The median is the middle most value 9 (in slot 4)

The median separates the data into two halves, which I'll call the lower and upper half

lower half  = {4,6,8}

upper half = {13,21,31}

The median of the lower half is 6, and this is the value of Q1.

The median of the upper half is 21. This is the value of Q3

________________________________

Hey!!

Solution,

(x-2)(X+5)=0

Either,

x-2=0

X=0+2

X=2

or,

X+5=0

X=0-5

X=-5

Hope it helps

Good luck on your assignment

____________________________

Answer:

SSS

Step-by-step explanation:

3 sides are similar, so the triangles are similar.

Answer:

[tex]25.1cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]

Answer:

.6

Step-by-step explanation:

Answer:

use FOIL- Firsts Outsides Insides Lasts