write the following in the form Ax^2+Bx+C=y

Write The Following In The Form Ax^2+Bx+C=y

Answers

Answer 1

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  


Related Questions

Explain how to graph 8 is greater than it equal to y

Answers

Answer:

t w e n t y c h a r e c t e r s l o n g

Aaliyah had some candy to give to her four children she first took 10 pieces of herself and then evenly divided the raise among her children each to receive two pieces with how many pieces did she start

Answers

Answer:

she started with 18

Step-by-step explanation:

2(4)+ 10= 18

NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?

1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours

Answers

Answer:

4 hours

Step-by-step explanation:

1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.

n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be

Answers

Complete Question

In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->

It must be that the resulting P-value must be

A) Greater than 0.2

B) Between 0.19 and 0.10

C) Between 0.09 and .05

D) Between .049 and .02

E) Less than 0.02

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

   The mean of sample 1 is  [tex]\= x_1 = 10[/tex]

   The standard deviation is  [tex]s_1 = 6[/tex]

   The mean of sample two is  [tex]\= x_2 = 16[/tex]

   The standard deviation is  [tex]s_2= 4[/tex]

   The sample size for both samples is  [tex]n_1 = n_2 = n = 6[/tex]

  The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

  The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]

=>       [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]

=>       [tex]z = -1.3646[/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.3646   is

    [tex]P(Z < -1.3646) = 0.086189[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = 2 P(Z < -1.3646)[/tex]

=>  [tex]p-value = 0.086189 * 2[/tex]

=>  [tex]p-value = 0.1724[/tex]

So the p-value is  Between 0.19 and 0.10

   

whats 7, −6, 4, −10, 3 least to greatest

Answers

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?

Answers

14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.

I need help on both these questions

Answers

a is 38720 i think.

Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.

Answers

Answer:

D

Step-by-step explanation:

I just did this test and D was the right answer.

The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).

Given :

Alyssa is learning to drive her parents' car.

The following steps can be in order to determine the graph that best represents Alyssa's speed over time:

Step 1 - The graph must be plotted between speed vs time.

Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.

Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.

Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.

Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.

From the above steps, it can be concluded that option C) is correct.

For more information, refer to the link given below:

https://brainly.com/question/14375099

18. Find the missing length indicated.
Find HJ
x+27
X+ 17

Answers

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

0.5= x djdododododododdodod

Answers

Answer:

25

Step-by-step explanation:

cuz

please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.

Answers

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

Why are these triangles similar?​

Answers

Answer:

sas

Step-by-step explanation:

What is the product of 12 and 5 decreased by 17

Answers

Answer:

43

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

12x5-17 would be the equation

60-17 multiplication due to PEMDAS

43 subtraction

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

Help me with this plz!?!? I will mark brainliest!!!

Answers

If the temp is 12f and changes by -26f
Is 38f

Given
f
(
x
)
=

x

3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=

2
f(x)=−2.

Answers

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

The answer is -5 I hope this helps

Harry's amount of money is 75% of Kayla's amount of money

Answers

Answer:

Add vaslues

Step-by-step explanation:

How much money does kayla have?

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet​

Answers

Answer:

I think the answers are...

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.

6 feet by 2 feet by 3 feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

8 feet by 4 feet by 3 feet

Step-by-step explanation:

(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!


Answers

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.

Stats question, I'm really stck please help me!

Answers

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]  

     

Count by 5’s starting with 99

Answers

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

what is the final position of (-7) + (-2) on a number line ?

Answers

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

WILL MARK BRANLIEST TO THE CORRECT ANSWER!
You decide to invest $250 in an account that yields a return of approximately 4% each year. What is the value of you investment after 15 years if you make no further deposits or withdrawals?

Answers

Answer:

$450.24

Step-by-step explanation:

According to my quiz...

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank

Answers

Answer:

Step-by-step explanation:

False,true,true

Maggie is participating in her school reading challenge. She reads 80 books in 6 months. If 40 of the books are fiction, then what percent of the books that she read are fiction?

Answers

Answer:

50%

Step-by-step explanation:

*In this question, the 6 does not matter*

If 40/80 books are fiction, and if you simplify that fraction, you get 1/2.

Percentages are just fancy fractions and decimals. 50% means 1/2.

Thus, the answer is 50%

Delete this already.

Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?

Answers

Answer:

6 inches tall and has a diameter of 2 inchces

Step-by-step explanation:

Need help geometric sequences see pic for details

Answers

Given:

The recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]

[tex]a_1=-3[/tex]

To find:

The explicit formula of the given geometric sequence.

Solution:

We know that, first term of geometric sequence is [tex]a_1=-3[/tex].

Recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\times r[/tex]      ...(i)

where, r is common ratio.

We have,

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]    ...(ii)

On comparing (i) and (ii), we get

[tex]r=\dfrac{1}{8}[/tex]

The explicit formula of a geometric sequence is

[tex]a_n=a_1r^{n-1}[/tex]

Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get

[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]

Therefore, the correct option is D.

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:

y = 11

Step-by-step explanation:

Perimeter = 6 + 5y + y + 2 + 4y + 3

                = 10y + 11

10y + 11 = 121

10y = 121 - 11

     = 110

y = 110 ÷ 10

y = 11

A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?

Answers

Answer:

3 ft.

Step-by-step explanation:

15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4

What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, 1/9, 1/27

Answers

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

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