If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?

Answer:

y=x-7

Step-by-step explanation:

Rise over run

-6-(-7)

---------- = 0

-4-(-4)

Point Slope form

y+7=0(x+4)

Y=MX + B

y=x-7

The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The equation of the line passing through the points (−4,−7) and (−4,−6) will be

y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)

y + 6 = (1/0)(x + 4)

x + 4 = 0

Put x = a, then the equation will be

x + 4 = 0

a + 4 = 0

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Answer:

  slope 4/5

Step-by-step explanation:

The attachment shows the rise in green (4 grid squares), and the run in red (5 grid squares). The slope is the ratio rise/run.

__

The slope is rise/run = 4/5.

Answer:

f(2) = 5

Step-by-step explanation:

Given: f(x) = x² + 2x - 3

We are asked to find the value of the function when x = 2.

In the function, substitute 2 as the value of x and simplify:

f(2) = (2)² + 2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

When x is equal to 2, the value of the function is 5.

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Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12

Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the mean age of a girl on the swimming team?​

adding the number of girls together and then dividing by the number of girls

(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =

107 : 7 = 15.28 (you can round at 15)

Answer:

r = 1.6

Step-by-step explanation:

given r varies directly with m² and inversely as n then the equation relating them is

r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation

to find k use the condition r = 18 when m = 6 and n = 4 , then

18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

72 = 36k ( divide both sides by 36 )

2 = k

r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation

when m = 2 and n = 5 , then

r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6

Answer:

This is false

Step-by-step explanation:

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

Finding z :

Finding ∠CED :

Finding y :

Finding ∠BCE :

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.

Angles around a point sum to 360°

Angles on a straight line sum to 180°

⇒ ∠ACB + ∠BCE = 180

⇒ ∠ACB + (7y - 6) = 180

⇒ ∠ACB = 180 - (7y - 6)

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 186 - 7y

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CBA + ∠BAC= 180

⇒ 186 - 7y + 64 + 3y + 10 = 180

⇒ 260 - 4y = 180

⇒ 4y = 80

⇒ y = 20

Using the found value of y to find ∠BCE:

⇒ ∠BCE = 7(20) - 6

⇒ ∠BCE = 134°

Angles on a straight line sum to 180°

⇒ ∠DCE + ∠BCE = 180

⇒ ∠DCE + 134 = 180

⇒ ∠DCE = 46°

The interior angles of a triangle sum to 180°

⇒ ∠DCE + ∠CED+ ∠EDC = 180

⇒ 46 + (9z - 2) + 8z = 180

⇒ 17z + 44 = 180

⇒ 17z = 136

⇒ z = 8

Using the found value of z to find ∠CED:

⇒ ∠CED = 9(8) - 2

⇒ ∠CED = 70°

6 dollars for 12

Step-by-step explanation:

if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples

Simplified

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Step-by-step explanation:

[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]

[tex]2^(^2^+^1^) = 2^3[/tex]

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.

Answer: The first graph

Step-by-step explanation:

It's the first one. I don't know how to explain, haha.

Step-by-step explanation:

the manufacturing costs are defined by

m(x) = 25x + 150

the selling revenue is defined by

s(x) = 50 + 30x = 30x + 50

clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.

so,

a)

the profit is (as usual) revenue minus manufacturing :

p(x) = 30x + 50 - 25x - 150 = 5x - 100

b)

x = 150

p(150) = 5×150 - 100 = 750 - 100 = $650

since the result is positive, yes, they are making a profit. and it is $650.

Answer:

5.a) p = 5x - 100

b)p = $650

Step-by-step explanation:

5.a)

p - Profit

p - Profitc - Cost

p - Profitc - Cost - revenue

p = r - c

p = (30x + 50) - (25x + 150)

p = 5x - 100

b) The company will make profit.

p = 5x - 100

p = 5(150) - 100

p = 750 - 100

p = $650

or

p = (30×150 + 50) - (25 × 150 + 150)

p = $650

Answer:

Step-by-step explanation:

Comment

(Fans who received a baseball) = 2500

Total number of seats in Yankee Stadium = 50086

P(those who got a baseball) = 2500 / 50086

Answer P(Those who got a baseball) = 0.04991 rounded.

Answer:

Step-by-step explanation:

Formula:

In a square with sides each of length ‘a’ :

The diagonal D of the square = a√2

…………………………………………………………

The square ,in our example has 4 sides all of Length 4 ,then

D = 4√2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

Find out more on equation at: https://brainly.com/question/2972832

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The answers for the questions are:

1) The dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait.

4) He needs to trim 4.4cm of the height of poster

A rectangle is a quadrilateral with opposite sides equal and all angles 90°

Analysis:

1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4

 width of poster = 2x4 + 3x12 = 8 + 36 = 44cm

  Height of poster = 4x2 + 3x16 = 56cm

2) possible combinations, are 8 picture on a row and 3 picture on a column

     width = 9spacing x 2cm + 8 pictures x 12 = 114cm

   length = 4 spacing x 2 + 3pictures x 16 = 56cm

   12 pictures on a row and 2 pictures on a column

     width = 13 spacing x 2cm + 12 pictures x 12 = 170cm

      length = 3 spacing x 2cm + 2 pictures x 16 = 38cm

    6 pictures on a row and 4 pictures on a column

      width = 7 spacing x 2cm + 6 pictures x 12 = 72cm

       length = 5 spacing x 2cm + 4 pictures x 16 = 74cm

    The smallest area is 74 x 72 = 5328 square centimeter

3.  For portrait,

     width = 6 photos x 12cm + 7 spacing x 2cm = 86cm

      length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm

     For landscape,

     width = 6 photos x 16cm + 7spacing x 2cm = 110cm

      length = 3 pictures x 12cm + 4 spacing x 2 = 44cm

     The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.

4. Let the equal spacing be P

   for full width = 62cm

    4pictures x 12cm + 5 spacing x P = 62

   48 + 5p = 62

   5P = 62-48

   5P = 14

   P = 14/5 = 2.8cm

   length of poster using equal spacing of 2.8cm

   length would take 6 photos

   6 photos x 16 + 7 spacing x 2.8 = 115.6cm

   original length of poster is 120cm

  so he would need to trim  (120-115.6) = 4.4cm

In conclusion, The answers to the questions are:

1) dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait

4) He needs to trim 4.4cm of the height of poster

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Answer:

ant sorry you no entendía

Answer:

<A = 60°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 13)° = 118°

7y + 13 = 118°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<A = 4y

<A = 4 * 15

<A = 60°

there isn’t an image provided I can’t help unless you give an image

Answer:

3.

m + 7 ≥ 20

Subtract 7 on both sides,

m ≥ 20 - 7

m ≥ 13

The answer is m ≥ 13.

( you need to include both > and =, that is ≥ )

4.

2.1x = 23.1

Divide 2.1 on both sides,

x = 23.1 / 2.1

x = 11

Answer:

For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].

For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

[tex]a_{n}[/tex] = - 8n + 10

Step-by-step explanation:

the sequence has a common difference between consecutive terms , that is

- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 8 , then

[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10

Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.

A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.

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Answer:

I would edit this answer and tell you what I hope would be the correct answer if you give me the problem you are confused with

Step-by-step explanation:

I can't help you otherwise

Sorry