Mathematics High School

Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25

Which Of The Following Is An Equation In The Form Y = Ax2 + Bx + C Of The Parabola Shown In The Graph?

Answers

Answer 1

Answer:

Option D. y = – 5x² + 20x + 25

Step-by-step explanation:

We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:

The solutions are simply the values through which the graph cuts the x-axis.

The solutions are x = – 1 and 5.

Next, we shall obtain the equation for the graph as follow:

x = – 1 Or x = 5

x + 1 = 0 or x – 5= 0

(x + 1) (x – 5) = 0

Expand

x(x – 5) + 1(x – 5) = 0

x² – 5x + x – 5 = 0

x² – 4x – 5 = 0

Multiply through by 5

5x² – 20x – 25 = 0

Rearrange

0 = 0 – (5x² – 20x – 25)

= – 5x² + 20x + 25

Thus, the equation is:

y = – 5x² + 20x + 25

Related Questions

What is the base of the triangle? A=36mm(2) H= 6mm B=?

Answers

Answer:

Area formula=b*h÷2

b=a÷h*2

b=12

Step-by-step explanation:

So if you multiply the base and height to find a triangle, you'd get the area of a rectangle instead so if you divide by 2, you'd get the area of a triangle

To find the base, you'd reverse the process. You'd divide the area by the height and multiply by 2.

36÷6=6

6*2=12

Hope that helps!

What value of x is in the solution set of 2(3x - 1) = 4x - 6?
EO
-10

Answers

Answer:

D) -1

Step-by-step explanation:

6x-2≥4x-6

6x-4x≥-6+2

2x≥-4

x≥-4÷2

x≥-2

Only -1 is greater than -2 in the list.

Answer:

x = - 1

Step-by-step explanation:

Given

2(3x - 1) ≥ 4x - 6 ← distribute parenthesis on left side

6x - 2 ≥ 4x - 6 ( subtract 4x from both sides )

2x - 2 ≥ - 6 ( add 2 to both sides )

2x ≥ - 4 ( divide both sides by 2 )

x ≥ - 2

The only value in the list greater than - 2 is - 1

x = - 1 is in the solution set

Evaluate f(x) = 5x2 - 4x - 9 for f(-2)

Answers

Answer:

99

Step-by-step explanation:

5x^2 -4x -9

5(-2)^2 -4(-2) -9

-10^2 +8 -9

100-1

99

Identify The Type Of Graph Below.

Answers

Answer: That's a line graph

Step-by-step explanation:

Answer:

It would be a line graph or a bar/ coulum

Step-by-step explanation:

Please help lol

Answer options:

A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)

Answers

It would be D (2, 3.5). Partitions in the ratio 1:1 means it cuts it in half basically.

there are 48 people in gym class
5/8 of the people were in spin class
1/3 of the people were lifting weights
the remaining people were running
How many people were running?

Answers

5 1 were lifting weights and 5 spin

Plant and animal cells have ALL the same organelles. True or faulse?

Answers

Answer:

Step-by-step explanation:

False. They may have some that are the same, but not all.

Answer:

the answer is false hope this helped :)

Point B ∈ AC . Points K, M, N, and P are the midpoints of AB , AC , MC , and NC , respectively. Write a congruency statement for each pair of congruent segments.

Answers

Answer:

AK = BK, AM = CM, MN = CN, NP = CP

Step-by-step explanation:

B ∈ AC

Points K, M, N, and P are the midpoints of AB , AC , MC , and NC

Then

K is midpoint of AB ⇒

AK = BK

M is midpoint of AC ⇒

AM = CM

N is midpoint of MC ⇒

MN = CN

P is midpoint of NC ⇒

NP = CP

find the unknown side length, x. write your answer in simplest radical form

Answers

11^2+11^2= √242

Answer is 11√2

Evaluate the expression for d = 43.4.
Write your answer as a decimal or whole number.
4.4(d − 35) =

Answers

Answer:

36.96

Step-by-step explanation:

given

d = 43.4

equation

4.4(d - 35) =

plug d in

4.4(43.4 - 35) =

solve within parentheses

4.4(8.4) =

multiply

36.96

Find the slope of the line that passes through point (2,8) and point (9,7).

Answers

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

The graph shows the temperature of a liquid that is being heated during an
experiment.

Answers

Answer:

#4 bottom right

Step-by-step explanation:

It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52

2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left

Answers

Step-by-step explanation:

2x + 7x - 10 = 180° because these rwo angles are supplementary

10x - 10 = 180°

10x = 190° divide both sides by 10

x = 19

measure of angle on the right:

8x - 10 ➡ 8 × 19 - 10 = 142°

measure of angle on the left:

2x ➡ 2 × 19 = 38°

You spin the spinner twice.
4.
1
3
2.
lands on 2 What is the probability of landing on a number less than 4 and then landing on a 3?

Answers

Answer:

The Answer is 1 and 4

Step-by-step explanation:

Because there is only 4 numbers.

The point (17, -9) is translated to the point (6, 2) what is the description of the translation

Answers

down 11 units and right 7 units.

What is the 50th term of Arithmetic sequence 9,2,-5

Answers

Answer:

- 334

Step-by-step explanation:

There is a common difference between consecutive terms in the given sequence, that is

d = 2 - 9 = - 5 - 2 = - 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , thus

[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334

11. Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55
miles per hour. At least how many hours should your class plan for the trip to the museum?

Answers

I’d say 3.5 hours judging by it taking 55 an hour, 110 in two, 165 in 3, and less than a half for 90.

1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

        -12             -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x  -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

Question 14(Multiple Choice Worth 4 points)
(01.04 LC)
Solve the inequality 4x - 6 > 6x - 20.
x> 7
x<7
x<2
x>2

Answers

Step-by-step explanation:

4(7)-6,6(7)-20

28-6,42-20

22,22

22/22

=1

4(2)-6,6(2)-20

8-6,12-20

2,-8

-8/2

=-4

Answer:

Its B

Step-by-step explanation:

what is the value of 10^-3

Answers

1/1000. you find this by first finding 10^3 which is 1000 then inverting it

At the movies, children's tickets are $6 each and adult's tickets are $10 each.
Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.

Answers

Answer:

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Step-by-step explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c


What would be the actual length, if the length of the model is 25 ft and the scale factor is less
than one?
20 ft, 25 ft, Or 30 ft

Answers

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

The actual length of the model will be 30 feet. Then the correct option is C.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The length of the model is 25 feet. And the scale factor is less than one.

We know that if the scale factor is from zero to one, then the size of the actual length increases.

If the scale factor is greater than zero, then the size of the actual length decrease.

And if the scale factor is one, then the size does not change.

The size of the actual length will be greater than 25 feet.

The actual length of the model will be 30 feet. Then the correct option is C.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

2x-5<5x-3x Please Help Me!!!

Answers

Step-by-step explanation:

Check the above photos

Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?

Answers

Answer:

i smell penys

Step-by-step explanation:

6+(-3)=
answer question plz​

Answers

Answer:

-3

Step-by-step explanation: Because it is just like saying 6-3

Answer:

3

Step-by-step explanation:

6+(-3)

A addition symbol and subtraction symbol both make a negative symbol.

6-3

6-3= 3

Hope this helps!

Hi.
I need help with these questions
Please show workings

The remaining options for No 49 are :
a. 40k
B. 60k
C. N1.40
D. 1.60
E. No change

Note : (100k = N1)​

Answers

Answer:  48) D. 4        49) C. N1.40

Step-by-step explanation:

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

Use the piecewise function to evaluate the following.
1.
(-2x² – 1,
X2
2
-
4,
X2
5
a. f(0) =
b. f(5) =
c. f(2)=
d. f(-3) =

Answers

I think B BUT IM NOT SURE

Really need help with #20! I'll give brainliest!

Answers

Answer: 1 year (year 15)

Step-by-step explanation:

109.5-86.0=23.5

128.4-109.5=18.90

140.8-128.4=12.4

158.7-140.8=17.9

182.1-158.7=23.4

23.5+18.9+12.4+17.9+23.4=96.10

96.10÷5=19.22

200-182.1=17.9

182.1+19.22=201.32 subs

Find and interpret the slope of the line containing the given points. (0,20) and (-8,0)​

Answers

Answer:

The slope is: 20/-8, or -20/8

Step-by-step explanation:

to find the rate of change, you do change in y over change in x

so you minus the y numbers and minus the x numbers

so,

20-0/0-8 = 20/-8

or you can do

0-20/8-0 = -20/8

both of them are the same

sorry I'm really bad at explaining myself

hope this helps! :D

Answer:

Step-by-step explanation:

(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4

NEED EXPLANATION AND PROCESS!!!

Answers

Answer:

x = 133

y = 43

Step-by-step explanation:

x + 47 = 180

so x is 133

47 + y = 90

so y is 43

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