if f(x) = –2x – 5 and g(x) = -x + 7
find 9(f(-2))

Answer:

  a) 1/48

  b) 36/1

Step-by-step explanation:

The scale factor from 2nd to 1st is the ratio of the scale factors.

(a) (1/280)/(6/35) = (1/280)(35/6) = 35/(35·8·6) = 1/48

__

(b) (3)/(1/12) = 3·12/1 = 36/1

Answer:  -12

Step-by-step explanation:

Input -2 into the function for where you see x and solve to find out what h(-2) is

h(-2) = -4(-2)^2 + 3(-2) +10  

h(-2) = -4(4) -6 + 10

h(-2) = -16 -6 +10

h(-2) = -22 + 10

h(-2) = -12

Answer:

the moon is 15,840,000,000 inches away

Step-by-step explanation:

The distance of the moon from the earth in inches is 1583926.56 ×10⁴ inches.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, The moon is 250,000 miles away. How many inches and

we know that 1 mile =63357.0626 miles

Thus 250000 mile = 1583926.56 ×10⁴

Hence, The distance of the moon from the earth in inches is 1583926.56 ×10⁴ inches.

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Answer:the bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates

Step-by-step explanation:

The function has the greater slope and it represent : The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

According to the question

The cost per hour to rent a bicycle and the cost per hour to rent in-line skates are given .

We will conclude which function has the greater slopes

if any function have greater slope than other that implies that  it have greater change in  y  axis in comparison to other

as over here  

y axis = cost

x axis = hours

Therefore,

The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates

Hence, The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates

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Answer:

Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries

Step-by-step explanation:

Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;

We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3

The total number of cups to be made is 10

So the number of cups of yoghurt will be;

2/(2+3) * 10

= 2/5 * 10 = 4 cups

The number of cups of blueberry would be;

3/5 * 10 = 6 cups

So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna

Area of triangle = 1/2 x base x height:

Area of triangle = 1/2 x 14 x 5 = 35

Area of square = 2 x 2 = 4

Shaded area = 35-4 = 31 cm^2

Step-by-step explanation:

Input Equation can be rewritten:

= (9*1/2)+(7*-91/12)

= (9/2)+(7*-91/12)

= (4.5)+(7*-91/12)

= 4.5+(7*-91/12)

= 4.5+(-637/12)

= 4.5+(-53.083333333333)

= 4.5+-53.083333333333

= 4.5-53.083333333333

= -48.583333333333

hope this helps!

Answer:

16x-103/12

Step-by-step explanation:

(9x+1/2)+(7x-9 1/12)

9x+1/2+(7x-109/12)

remove parenthesis

9x+1/2+&x-109/12

combine like terms and differences.

16x-103/12

Answer:d

Step-by-step explanation:

Answer: The answer would be D.

Step-by-step explanation: When you add 2 5/6 to 7/4, you get 55/12. Turn 55/12 into a mixed number, and you get 4 7/12.

Answer:

the 1st pizza is the better deal

Step-by-step explanation:

Answer:

m<2=35 M<3=55

Step-by-step explanation:

When looking at this problem the 4 and 2 angles are the same because of opposite side  and then you just subtract 35 from 90 which gives you 3

Answer:

The answer to question 5 is x = 23. The answer to question 6 is x = 17.

Step-by-step explanation:

Two Key Points:

- Angles on a straight line always add up to 180°

- The angles in the inside of a triangle add up to 180°

I have attached a picture showing how to do the two problems. I hope this helps!

Answer:

400 balls in each bucket

Step-by-step explanation:

800 (balls) divided by 2 (buckets)

Answer:

do 800/2

Step-by-step explanation:

Answer:

12 people are needed to build 12 bikes in 6 hours

Answer:

∠ D = 48°

Step-by-step explanation:

Since AC ~ BC then Δ ABC is isosceles and the base angles are equal, thus

∠ B = ∠ C = 69°, then

∠ ACB = 180° - (69 + 69)° = 180° - 138° = 42° ( sum of angles in Δ )

∠ DCE = ∠ ACB = 42° ( vertical angles )

∠ D = 180° - (90 + 42)° = 180° - 132° = 48°

Answer:

5

Step-by-step explanation:

Let :

x(1) be 2

y(1) be 5

x(2) be -2

y(2) be 2

We know that distance between any 2 points is equal to:-

[tex] \sqrt{{(x(2) - x(1) )}^{2} + ({y(2) - y(1))}^{2} } [/tex]

So using the above formula ,

[tex] \sqrt{ {( - 2 - 2)}^{2} + {(2 - 5)}^{2} } [/tex]

[tex] = > \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } [/tex]

[tex] = > \sqrt{16 + 9} [/tex]

[tex] = > \sqrt{25} = 5[/tex]

Answer:84

Step-by-step explanation:88+80=168

168/2=84

Answer:

12.5%

Step-by-step explanation:

Step 1:

We need to find out the percentage of picking a marble that is red. In total, there are 10 marbles, and there are 5 red. To find the probability of picking a red marble, you need to do:

# of red / total marbles.

There are 5 red marbles and 10 total marbles, so the probability of getting a red marble is 5/10, and you can simplify it to 1/2 (5/10 * 5/5).

Step 2:

Now we can start finding the probability of finding the probability of choosing three red marbles in a row. Since we need to find the probability of choosing red marbles three times, you can multiply 1/2 by itself 3 times (1/2 * 1/2 * 1/2).

1/2 * 1/2 * 1/2 = 1/8

Step 3:

Now we need to convert the fraction into a percentage. You can find the percentage by dividing 1 by 8. You should get 0.125, and you can multiply 0.125 by 100, and your final answer should be 12.5%.

Answer:

x=69° ,y=69° is the answer

Step-by-step explanation:

Hope it is helpful for you

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Answer: X = 69° and Y = 111°

Step-by-step explanation: X is a z-angles which makes it the same as the given angles. Y is a corresponding angle which makes it the same as the above angle 111°.

Answer:

$431.67

Step-by-step explanation:

Let

The one time $50 rebate be for the first month

Cost of insurance per month = x

First month cost of insurance = x-50

Total cost of insurance = $2,540

Total cost of insurance = 1st + 2nd + 3rd + 4th + 5th + 6th

2,540 = x-50 + x + x + x + x + x

2540 + 50 = 6x

2590 = 6x

Divide both sides by 6

x= 2,590 / 6

= 431.67

x= $431,67

The cost of the insurance per month = $431.67

Check:

$431.67 * 6 months

=$2,590.02

Minus one time rebate of $50

= $2,590.02 - $50

= $2,540.02

Approximately

$2,540

Answer:

Step-by-step explanation:

Given the line containing the points.

x | -7. -6. -5. -4

y | 21. 17. 13. 9

The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁

Using the coordinates y (21, 17) and corresponding value of  x(-7, -6)

y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6

Substituting the values into the formula for calculating the slope, we have;

m = Δy/Δx = 17-21/-6-(-7)

m = -4/-6+7

m = -4/1

m = -4

Hence the slope of the line that contains these points is -4

Answer:

Crackers $1

Cheese $9

Jam $4

Butter $9

1+9+4+9

= $23

Answer:

3. z = 0

I could only find the answer for number 3. I'm sorry! I hope this helps anyway!

Answer:

It might be very wrong

3. 6z + 12 = 30z + 12

0 = 24z

z = 0

4. 3x +3 +1 +2x = 4x +4+ x

4 +5x = 5x +4

0 = 0

5. - 2b = - 2b +4+3-3

0 = 4

Answer:

4. Converse of Corresponding Angles Postulate

Step-by-step explanation:

There are several theorems to prove line relationships in plane geometry.

The proof of parallel lines is done by

To prove that lines are parallel, we make use of the concept of line transversal.

The vertical angle theorem is based on two lines intersecting at a point

The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines

The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.

Hence, the true options are (3) and (4)

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Answer:

[tex] \huge \purple { \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]

Step-by-step explanation:

I the given problem, there should be 32 in place of 35.

[tex]F = \frac{9}{5} C + 32 \\ F - 32= \frac{9}{5} C \\ 5( F - 32)= 9 C \\ \frac{5}{9} ( F - 32)=C \\ \\ \huge \red{ \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]

Answer:

$0.05/lb

Step-by-step explanation:

What Owen paid, per pound:  ($8.75) / (7 lb) = $1.25/lb

What Olive paid, per pound:  ($12) / (10 lb) = $1.20/lb

Olive's unit rate was $0.05/lb lower than Owen's.

Answer:

(-0.3)^4 = 0.0081

Step-by-step explanation:

Answer:

1. 23/20 or 1 whole and 3/20

2. 3/10

3. 4/3 or 1 whole and 1/3

4. 1/15

5. 1/2

6. 3/10