Factor 20x2 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials. (20x2 – 12x) (25x– 15) 4x(5x – 3) 5(5x – 3) (5x – 3)( x ).

The graph shifts 7 units right and 2 units down

Step-by-step explanation:

When p<0 it shifts to the left hence it has shifted 7 units to the right.

When q<0 it shifts down so hence it has shifted 2 units down

Answer:

  Total Area = 110 m²

Step-by-step explanation:

To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).

Name: triangle

Formula: A = 1/2bh

Values: b = 15 m -5 m = 10 m; h = 4 m

Area = 1/2(10 m)(4 m) = 20 m²

__

Name: rectangle

Formula: A = bh

Values: b = 15 m; h = 6 m

Area = (15 m)(6 m) = 90 m²

__

Total area = Shape 1 area + Shape 2 area

Total area = (20 m²) +(90 m²) = 110 m²

Answer:

You substitute 3 for c (intercept)

Step-by-step explanation:

y = mx + c

y = 3x + 3

Comparing

c (intercept) = 3

Answer:

see attached diagram

Step-by-step explanation:

If the kite starts on the ground, then the beginning point of your graph will be (0, 0) since when time = 0, height of the kite = 0.

If it ascends slowly into the sky, then as time passes, its height increases.

So you will draw a straight line with a positive gradient from (0, 0).

As it ascends slowly, the gradient needs to be small.

If it flies at the same altitude (height) for about 10 minutes, this means that the height stays the same, so you will draw a horizontal line to show this.

The if it quickly drops to the ground, draw a line with a large, negative gradient to a point on the x-axis (as height = 0)

Answer for x should be 7

x = 7

Step-by-step explanation:

Hi there! if you don't understand any part make sure to ask me :D

Answer:

Step-by-step explanation:

2700x y = 3 * 3 * 3 * 2 * 2 * 5 * 2 * x * y

27y³ = 3 * 3 * 3 * y * y * y

GCF = 3*3*3*y

        = 27y

Answer:

The number is 13

Step-by-step explanation:

To write the equation, we know that more than comes after

7 times a number

7n

more more than means add

7n+5

is means equals

7n+5 = 96

Subtract 5 from each side

7n+5-5 = 96-5

7n = 91

Divide each side by 7

7n/7 = 91/7

n =13

Let's create one by one

Product of b and 256 means multiplication

Plus 17 means addition

Now combine to firm expression

Step-by-step explanation:

A line can be translated over to form a line. Since the line has the same slope, the only thing different is y intercept. Since a Translation is a rigid transformation, they perseve distance. So this will be true for all lines.

Key Concept: The distance between two parallel lines and is the difference in y intercepts.

10. The y intercept is 7 and -2

So the distance is

[tex]7 - ( - 2) = 9[/tex]

or

[tex] - 2 - 7 = - 9[/tex]

Rember Distance is a scalar, so it is positve.

So we take absolute value of both answer

[tex] |9| = 9[/tex]

[tex] | - 9| = 9[/tex]

So the answer for 10 is 9.

11. The distance is 3 because |4-1|=3 or |1-4|=3 so the distance is 3.

12. The distance is 2

13.The distance is 8.

Answer:

2/5

Step-by-step explanation:

Out of the available options on the spinner, only 1 and 5 are factors of 25.

=> Outcomes = 2

=> Total outcomes = 5

P (factor of 25) = 2/5

Hope it helps.

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Probability is calculated as

P = [tex]\frac{desiredoutcome}{possibleoutcomes}[/tex]

desired outcome is factor of 25

factors of 25 are 1 and 5 , that is 2

possible outcomes are 1, 2, 3, 4, 5 , that is 5

P( factor of 25 ) = [tex]\frac{2}{5}[/tex]

Answer:

the only one that is the best way to go to last night I was wondering what the hell out the same thing happened in the next few weeks

Answer:

y = 0

Step-by-step explanation:

The image is reflected across the y-axis

Answer:

224 cubes

Step-by-step explanation:

find area of the figure 2*7/4*1 = 3.5

area of one cube is 1/4³ =1/64

3.5÷1/64=224

Answer:

[tex]y= -\frac{1}{2}x+5[/tex]

Step-by-step explanation:

When lines are perpendicular to each other, the slopes are negative reciprocals.

The slope of line y=2x+11 is 2. The negative reciprocal of that is -1/2.

Next, plug in the x and y values so we can get b (y intercept).

[tex]3= -\frac{1}{2}(4)+b\\ 3=-2+b\\5=b[/tex]

Our equation is [tex]y= -\frac{1}{2}x +5[/tex]

Answer:

A) No

Step-by-step explanation:

right triangles have 90 degree angles. this triangle does not have a 90 degree angle

Answer:

0

Step-by-step explanation:

1. Distribute:  6x-12 - 6x+12

2. Combine like terms:  0

Answer:

0

Step-by-step explanation:

First you want to do distributive properties, so multiply 2 and -4 by 3. leaving you with 6x-12-6x+12. then we have to combine all the like terms. so you can either add 6x to the negative 6x or take away 6x from the positive 6x. Same with the 12's. so once you've combined all the like terms you should be left with 0. Thus, your answer would be 0.

Answer:

1.) 42 in

3.) 68 ft

5.) 105 yd

Step-by-step explanation:

Formula : ½ base × height

1.) 14÷2= 7 × 6 = 42in

3.) 17÷2= 8.5 × 8 = 68ft

5.) 30÷2= 15 × 7 = 105 yd

Answer:

900 mins

Step-by-step explanation:

basic charge = 20$

so let's subtract it from 200$

so he will have 180$ for the post paid usage.

every 10 minutes = 2$

with 180$, he can do 180/2 * 10

= 90*10=900min

Answer:

Step-by-step explanation:

B. is not the answer

Answer:

288

Step-by-step explanation:

Let x represent the smaller number then the larger number would be 120%x

We can use this to set up an equation:

[tex]x+120\%x=528[/tex]

Convert 120% to a fraction (any percentage is just that number over 100):

[tex]x+\frac{120}{100}x=528[/tex]

Simplify the fraction:

[tex]x+\frac{6}{5}x=528[/tex]

Add like terms:

[tex]\frac{5}{5}x+\frac{6}{5}x=528\\\frac{11}{5}x=528[/tex]

Multiply both sides by 5:

[tex]11x=2640[/tex]

Divide both sides by 11

[tex]x=240[/tex]

Therefore...

[tex]120\%*240=\frac{6}{5}(240)=\frac{1440}{5}=288[/tex]

The larger number is 288

Answer:

B

Step-by-step explanation:

3 out of 10 is smaller than 3 out of 5

Answer: 3/10 < 3/5

Step-by-step explanation:

Choose one of the fractions to convert to a common denominator, we'll use 3/5 in this case

3/5 to the common denominator of 10, to get to 10 you need to multiply both the numerator and denominator by 2

2 * (3/5) * 2 = 6/10

6/10 is greater than 3/10, which means 3/10 is less than 3/5

Therefore, 3/10 < 3/5

Answer:

1.29

Step-by-step explanation:

9

2

1

6.45/5

5

___

14

10

____

45

45

____

0

Answer:

1.29

Step-by-step explanation:

6.45/5

5[tex]\sqrt{6.45}[/tex]

- Step one:

     -How many 5's go into 6? If you answered one, you're right.

5[tex]\sqrt{6.45}[/tex] = 1...

- Step two:

     - Now we have a remainder of one. When we bring down the 4, we have 14.

     - How many 5's can fit in 14? If you answered 2 with a remainder of 4, you're correct!

5[tex]\sqrt{6.45}[/tex] = 1.2......

- Step three:

      - Because we have one more digit left in 6.45, the five, we will bring it down. We now we have 45. How many 5's can fit in 45? If you answered 9, you're right!

5[tex]\sqrt{6.45}[/tex] = 1.29

So, this is how you do this division. I hope I helped you!

Answer:

your answer should be A.

Step-by-step explanation:

I don't know how to explain it to people but yeah, I hope I helped!

Answer:

A) SSS

Step-by-step explanation:

Two of the similarities are given to you. The last one will be the hypotenuse, which is congruent based on the reflexive property of congruence.

~

Set up an equation :

4 x number - 7 = 45

Add 7 to both sides:

4 x number = 52

Divide both sides by 4:

Number = 13

Answer: 13

Answer:

13

Step-by-step explanation:

Because 4 times ? decreased by 7=45 then what times 4 =52 since it was decreased by 7 then 45+7=52.

We know it has to be more than 10 so what is 11 x 4=44  12 x 4=48  and 13 x 4=52 so 52 subtracted by 7=45 and there's your answer.

hope this helps have a great day:)

Answer:

She completed 20% of her packet.

Step-by-step explanation:

30 of 150= 30/150

30 divided by 150 = 0.2

0.2 =20%

Hope this helps :)

Answer:

20%

Step-by-step explanation:

[tex]30\div150[/tex]

Calculate

[tex]\frac{30}{150}[/tex]

Cross out the common factor

[tex]\frac{1}{5}[/tex]

Multiply a number to both the numerator and the denominator

[tex]\frac{1}{5}\times\frac{20}{20}[/tex]

Write as a single fraction

[tex]\frac{20}{5\times20}[/tex]

Calculate the product or quotient

[tex]\frac{20}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage

20%

Answer:

Step-by-step explanation:

To find the population density of any state:

We must divide the population number by the area

Thus Washington state's population density equals 7,705,281 / 71297.95

Which equals 108.1

Hope that helps!

Answer:

108.1 people per square mile

Step-by-step explanation:

The population density is people per area.

Take the population and divide by the area.

Washington state:

7705281/71297.95

108.07156

Rounding to the nearest tenth

108.1 people per square mile