If you horizontally stretch the quadratic parent function, f(x) = X^2 by a factor
of 5, what is the equation of the new function?

Answer:

[tex]a=\dfrac{4x-7}{x}[/tex]

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

[tex]a=\dfrac{4x-7}{x}[/tex]

So, the value of a is equal to [tex]\dfrac{4x-7}{x}[/tex].

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

Answer:

Step-by-step explanation:

g(x) =(1/4 x)²

g(x)  = 4x² will be the equation of the parabola.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, two parabolas f(x) and g(x),

From the general equation of the parabola,

y = a(x – h)² + k or x = a(y – k)² +h.

Here (h, k) denotes the vertex.

As we can see in our case, the vertex is (0, 0)

Thus, the equation of the parabola will be

y = ax²

Since the given parabola passes through the point (1, 4)

Substitute the values,

4 = a(1)²

a = 4

therefore, the equation of the parabola g(x) will be,

g(x)  = 4x²

Learn more about function here:

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#SPJ7

Answer:

V= 2* L*B*H

Step-by-step explanation:

Although we are not given the dimension of the rectangular prisms in this question

The volume of a rectangular prism is

V= L*B*H

Since the number of the prism is two

Hence the volume of the two prisms

V= 2* L*B*H

Therefore, when the plugin the dimensions of the prism into the expression above, you will get the volume of the two prisms combined

Answer:

18

Step-by-step explanation:

The key of this leaf stem-leaf plot is:

4 | 5 = 45

Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:

First row => 12, 13, 15, 15 15, 16, 16, 19

Second row => 23, 25

Third row => 33, 35, 37, 38, 39

Fourth row => 44, 45, 45

Therefore, the number of children that weigh less than 50 pounds = 18

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

Answer:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

Answer:

Don't have them

lol

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

Answer:

3π

Step-by-step explanation:

period = 3π

Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = [tex]\frac{2.95}{8.90}[/tex] x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

Answer:

57

Step-by-step explanation:

<=1/2(AP-BN)

12=1/2(x-33)

(2) 12=1/2(x-33) (2)

24=x-33     24+33

57=x

57=AP

Answer:wow

Step-by-step explanation:

This is honestly amazing 10/10

9514 1404 393

Answer:

  B, C, E

Step-by-step explanation:

When the central angles are congruent, the corresponding triangles are congruent:

  ΔJHK ≅ ΔLHM . . . . selection E

and the base chords are congruent:

  ML ≅ JK . . . . selection B

The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:

  arc MLK ≅ arc LKJ . . . . selection C

An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Let we take:

m = number of calories per buiscuit that Jonathan eats.

Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.

Let k = number of calories per package of pemmican, then:

for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.

Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.

or, we get:

[tex]y = mx + 6k[/tex]

Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

Learn more about forming equations here:

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Answer:

b

Step-by-step explanation:

Answer:

supplementary means angles that add up to 180°

one angle = 155°

other angle = 180° - 155° = 25°

A) 25°

hope this answer helps you......

Answer:

The correct anser for delta math is 68%

Step-by-step explanation:

I gave up on delta math

Answer:

5x^2−10x−2

Step-by-step explanation:

I hope this is what you are looking for I just added (5x^2 – 9) + (-10x + 7)

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

Answer:

3 : 20

Step-by-step explanation:

2km = 2000

Ratio:

300 : 2000 =

150 : 1000 =

75 : 500 =

15 : 100 =

3 : 20

Answer:

11:52 am

Step-by-step explanation:

Answer:

answer b

Step-by-step explanation:

lol  points ig

Answer:

are you dead?

Step-by-step explanation:

Answer:

25.899sq.metres

Step-by-step explanation:

Area of this section of wood = Area of the sector

Area of the sector = theta/360 * πr²

r is the radius

theta is the central angle

Substitute

Area of the sector = 85.3/360 * πr²

Area of the sector = 85.3/360 * 3.14(5.90)²

Area of the sector = 85.3/360 * 109.3034

Area of the sector = 9,323.58002/360

Area of the sector = 25.899

Hence the area of the section of wood  is 25.899sq.metres

Answer:

addition property of equality

Step-by-step explanation:

Answer:

1 and - 4is the correct answer

Answer: 90 players.

Step-by-step explanation:

Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.

Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:

= 3/50 × 1500

= 90

Answer:

Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions

Step-by-step explanation:

to find the volume of a rectangular prism the formula is: Multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

its b

Step-by-step explanation: