The graph of y=2x^2 is shifted 8 units down on a coordinate grid.
What are the roots of the equation that correspond to the new graph?

A. x=-2 and =2
B. x=-2 and x=4
C. x=-4 and x=2
D. x=-4 and x=4​

Answers

Answer 1

Answer

x = 2 or x = -2

Option A

Step-by-step explanation:

By shifting it down(we are going 8 units below the origin on the y-axis), we have the equation as;

y = 2x^2 - 8

To find the root, we equate zero

0 = 2x^2 - 8

2x^2 = 8

x^2 = 8/2

x^2 = 4

x = square root of 4

x = +2 or -2

Answer 2

Answer: is A x=y=-2 and x=2

Step-by-step explanation:


Related Questions

Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.

Answers

Answer:

200/25×1

=8 gold coins

Step-by-step explanation:

The required number of gold coins he needs is given 8 coins.

Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins

Thus, the required number of gold coins he needs is given 8 coins.

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HELP ASAP!!! What is the slope of the line through (-1,-4) and (-6, -2)?

Answers

Answer:

2/-5

Step-by-step explanation:

(-2) - (-4) = 2

(-6) - (-1) = -5

Answer:

-2/5

Step-by-step explanation:

you have to do y2-y1 over x2-x1

then you plot in your points :

y2=-2

y1=-4

x1=-1

x2=-6

after you do that you need to subtract them and that's how you will get your  answer.

   

what is the value of f(-4.2) given the function f(x) = 23.2x + 2.5

Answers

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?​

Answers

Answer:

D

Step-by-step explanation:

Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?

Answers

Answer:

Molly earned $856 on the first day.

Step-by-step explanation:

From the information given, you know that over 3 days Molly earned $2,568 which is:

x+y+z=2568, where:

x is the amount earned on the first day

y is the amount earned on the second day

z is the amount earned on the third day

Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.

Now you can replace x and y in the first equation and solve for y:

2y+y+3y=2568

6y=2568

y=2568/6

y=428

No, you can replace the value of y to find x and z:

x=2(428)

x=856

z=3(428)

z=1284

According to this, the answer is that Molly earned $856 on the first day.

14. The diagram in Fig. 1.34 shows a uniform metre rule
weighing 100 gf, pivoted at its centre 0. Two weights
150 gf and 250 gf hang from the points A and B
respectively of the metre rule such that OA = 40 cm
and OB = 20 cm. Calculate : (i) the total anticlockwise
moment about O, (ii) the total clockwise moment about
O, (iii) the difference of anticlockwise and clockwise
moments, and (iv) the distance from O where a 100 gf
weight should be placed to balance the metre rule.
7-20 cm
А

B
40 cm
)
150 gf
Fig. 1.34
250 gf

Answers

Answer:

(i) The total anticlockwise moment about O, is 6000 + 50 × OD

(ii) The total clockwise moment about O, is 5000 + 50 × OC

(iii) The difference between the anticlockwise and the clockwise moment is 1000 N·cm

(iv) The distance from O where a 100 gf force should be placed to balance the meter rule is 10 cm to the right of the point O on the meter rule

Step-by-step explanation:

The given parameters are;

The mass of the uniform meter rule = 100 gf

The center of the meter rule = O

The mass of the weight at point A = 150 gf

The mass of the weight at point B = 250 gf

The distance of the point A from the point O = OA = 40 cm

The distance of the point B from the point O = OB = 20 cm

(i) Whereby the point A is on the left of the meter rule, and taking the mass of half the meter rule as acting on the center, of the midspan from the left edge to the center, O, which is the point, D we have;

The total anticlockwise moment, Mₐ = 150 × 40 + 50 × OD = 6000 + 50 × OD

(ii) The total clockwise moment about O, is given similarly as follows;

The total clockwise moment, [tex]M_c[/tex] = 250 × 20 + 50 × OC = 5000 + 50 × OC

(iii) The difference between the anticlockwise and the clockwise moment = Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OC

Where, OD = OC, we have;

Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OD = 1,000

Mₐ - [tex]M_c[/tex] = 1000 N·cm

Therefore, Mₐ > [tex]M_c[/tex]

(iv) The distance from O where a 100 g force should be placed to balance the meter rule should give a 1000 N·cm clockwise moment as follows;

Let the 100 gf load be placed at the point E, to the right of the point O, therefore;

100 gf × OE = 1000 N·cm

OE = 1000/(100)  = 10

OE = 10 cm

Therefore, the 100 gf should be placed 10 cm to the right of the point O.

For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.

Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?

Answers

Answer:

14 i think

Step-by-step explanation:

tbh, just guess and check

98/7=14 each student gets 7 stickers

56/14=4 each student gets 4 lollipops

there are 14 students.

If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?

Answers

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

The total square footage of the home will be 1350 feet².

Based on the information given, the area of the first floor will be:

= 25 × 30

= 750 feet²

The area of the second floor will be;

= 20 × 30

= 600 feet ²

The total square footage will be:

= 750 + 600

= 1350 feet ²

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SOMEONE ANWSER QUICK !

If you want to solve the system of equations below using the elimination methiod, which of the following should NOT be
your first step:

-3x + 4y = 0
2 - 2y = 8

A)Multiply every term in the bottom equation by 3.

B) Multiply every term of the bottom equation by 2.

C) Multiply every term of the bottom equation by -3.

D Multiply every term of the top equation by 2, and every term of the bottom equation by 4.

Answers

Answer:

I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.

Step-by-step explanation:

a total of 35 students are going to a field trip to NASA'S Johnson space center in houston,texas if there needs to be one adult for every 8 students, how many adults are needed?

Answers

Answer:

at least 5

Step-by-step explanation:

Answer:

Well the answer comes out as a decimal but 4 or 5 would be about how many adults they would need

If you wanna know the decimal it was 4.375 which rounds to 4.4 so it’s closer to 4 but they would probably need 5

6th grade math i mark as brainliest​

Answers

Ans:Option 2
8(4c+6)+10
=32c+48+10
=32c+58

Hope this can help.

Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11

Answers

Answer:

my best guest would be only 10

Step-by-step explanation:

There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).

What is inequality?

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

3y - 8 > 22

We have to determine which number would satisfy the inequality.

As per the question, we have

⇒ 3y - 8 > 22

Add 8 both sides of the above inequality,

⇒ 3y - 8 + 8 > 22 + 8

⇒ 3y > 30

Divided 3 into both sides of the inequality, we get

⇒ y > 30/3

⇒ y > 10

So, we can conclude that 13, and 11 would satisfy the inequality.

Hence, the correct answer would be options (A), and (E).

Learn more about inequalities here:

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whats the y intercept in x + y = –3

Answers

Answer:

the y-intercept is -3

Step-by-step explanation:

x+y=3

-x      -x

y=-x-3

b=-3

Answer: Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+y-(-3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x+y+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

y-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Which postulate can be used to prove congruence? Please help

Answers

Answer: Choice E) Insufficient information to prove congruence.

============================================================

Explanation:

We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.

While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.

Therefore, we don't have enough information to prove the triangles congruent.

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

Side notes:

We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.

help pleaseeeeeeeseee

Answers

Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2

Step-by-step explanation:

Tickets purchased online cost $90 plus a 5% fee. How much is the fee?

Answers

Answer:

$94.5

Step-by-step explanation:

Original Cost: $90

Tax: 5% OR 0.05

Tax Cost:

90 x 1.05

= 94.5

someone help meh please:)
simplify the complex fraction -3/5 2 1/4​

Answers

Answer: =−1 7/20

(Decimal: -1.35)

Step-by-step explanation: Hope this helped, Happy new years!

What is the value of the expression when a = -5 and c = -1?

Answers

Answer:

(8-5) + (16-1)=18

help please? i am a little bit confused

Answers

d: 1.25

c: .035

b: .70

a: .23

these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.

PLEASE HELPP ill give brainiest

Answers

Answer:

-8

Step-by-step explanation:

Please answer will give brainiest! If you don’t know please don’t answer thank you <3

Answers

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

A Family spent a total of $73.75 on movie tickets and snacks. Each ticket cost $12.50, and each snack cost $4.75. If the family bought a total of 9 tickets and snacks, How many of each did they buy?

Answers

Answer:

4 Tickets and 5 Snacks

Step-by-step explanation:

Answer:

The family bought 4 tickets and 5 snacks.

Step-by-step explanation:

$12.50 x 4 tickets = 50

$4.75 x 5 snacks = 23.75

$50 + $23.75 = $73.75

Dylan is preparing to try out for the boys' golf
team. During his first day of practice, Dylan bit
45 golf balls at the driving range. Each
subsequent day, Dylan hits 13 more golf
A. 0-13,0 – 0-, + 13
balls than he hit during the previous day. If o. B. 0, = 45,0. 9. +13
represents the number of golf balls that Dylan
hits on the nth day of practice, which of the
C. ,- 13,0, 0, -, +45
following describes the recursive formula for the D. q, = 45,9 = 0, -, + 45
sequence represented by the number of golf
balls that Dylan hits each day?

Answers

Answer:B

Step-by-step explanation:

Can somebody plz help answer all them correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERRSS FIRST :DD

Answers

Answer:

7 would be 56 in both boxes.

8 would be 75 in both of the boxes.

9 would be 3 in both of the boxes.

10 would be 60 in both of the boxes.

11 would be 62 in both boxes.

and 12 would be 5 in both boxes.

Step-by-step explanation:

If you need an explanation you can message me and I'll break it down for you

What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1​

Answers

Answer:

X = 7

Step-by-step explanation:

Please mark brainliest.

Answer:

[tex]\huge\boxed{\sf x = -2}[/tex]

Step-by-step explanation:

4x - 2y = 5 -------------------------------(1)

y = 3x - 1 ----------------------------------(2)

Put Eq. (2) in (1)

4x - 2(3x-1) = 5

4x - 6x + 1 = 5

-2x + 1 = 5

Subtracting 1 to both sides

-2x = 5 - 1

-2x = 4

Dividing both sides by -2

x = 4 / -2

x = -2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Shawnda spent $259.20 on a scooter. This was 80% of her budget for a new scooter. How much was the total budget?

Answers

x * 0,8 = 259,2 <=>

x = 258,2/0,8 <=>

x = 322,75

The total budget was 322,75$

The total budget was = $324

The percentage of budget spent = 80%

The cost of 80% of budget spent on scooter = $259.20

But the percentage of total budget = 100%

Therefore the cost of total budget =

[tex] \frac{100 \times 259.20}{80} [/tex]

[tex] \frac{25920}{80} [/tex]

= 324

Therefore the cost of the total budget = $324

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HELP ME PLS WITH THIS

Answers

Answer:

j

Step-by-step explanation:

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8

Answers

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

match each fraction with the equivalent expressions plz help
-2 divided by 10
10 divided by -2
1 divided by 5
5 divided by 1 so which on matches each one

5/1
-2/10
10/-2
1/5

Answers

-2 divided by 10

-2/10

10 divided by -2

10/-2

1 divided by 5

1/5

5 divided by 1

5/1

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