Complete the square and put this function in vertex form: f(x)=x^2+20x+96

Answers

Answer 1

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4


Related Questions

i am having trouble solving this. -2 1/3 - (-5)=​

Answers

Answer:

8/3 or 2 2/3

Step-by-step explanation:

1. -2 1/3 -(-5)=

2. -2 1/3 + 5=

3. -7/3 + 5=

4. -7/3 + 15/3=

5. 8/3 = 2 2/3

In statistical inference for categorical data:___________.
a. Normal data is always a condition for inference.
b. Normal data is never one of the inference assumptions.
c. Normal data or large enough total sample size is one of the inference assumptions.

Answers

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

pls help I will fail 10th grade

Answers

Answer:

[tex]x ^{2} + 6x + 9 \\ \: = x ^{2} + (3 + 3)x \: + 9 \\ = x {}^{2} + 3x + 3x \: + 9 \\ \: \: \: \: = x(x + 3) + 3(x + 3) \\ = (x + 3) \: \: \: \: \: (x + 3)[/tex]

So, the Answer is (x + 3) (x + 3)

Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased.

What equation models this function?



Enter your answer in the box.
f(x)=

Answers

Answer:

there you go took me a second but I got it

A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors?
320 minus 7.50 p
320 + 7.50 p
7.50 p minus 320
7.50 p + 320

Answers

Answer:

320 minus 7.50 p

Explanation:

the florist earned 320 dollars and then lost money due to having a competitor deliver, since we dont know the amount of people who chose competitors we use the term p next to the amount that p is worth because each time a customer uses a competitor it costs 7.50 out of the original 320.

Which expressions represent the sum of exactly two terms?
Choose 2 answers:


(Choice A)
xy

(Choice B)
m^4+6n


(Choice C)
3+7s+t

(Choice D)
a+c

Answers

Answer:

Step-by-step explanation:

The answer is a+c and 3+7s+t

Bacuase both term have single power

The GCF of 15 and 27 is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer is 3, you can try it. I’m pretty sure it’s correct.

Answer:

the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3

Step-by-step explanation:

2 What is the solution set of
|4x - 1|= 3?

Answers

Answer:

Exact Form:

x = 1 , − 1/ 2

Decimal Form:

x = 1 , − 0.5

Step-by-step explanation:

QUICK MATH

Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?

Answers

Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreases

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

answer this question correctly and i'll give u brainliest pls

Answers

Answer:

Corresponding angles

Step-by-step explanation:

They have the same relative position to the parallel lines (in blue)

It’s A, corresponding.


Find the 6th term of the geometric sequence whose common ratio is
3/2
and whose first term is 2.

Answers

Answer:

-3072

Step-by-step explanation:

Explain how the vertical line test was robes that a relation is not a function.

Answers

The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function. The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value. Cutting or Hitting the Graph at Exactly One Point

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function. Here are some examples of relations that are NOT functions because they fail the vertical line test.

Need this ASAP thanks

Answers

Answer:

In Step 2.

Step-by-step explanation:

They should have distributed the 2 to the x and 1 instead of subtracting it.

tony earns $100 for walking 5 dogs. how much would he earn for each dog​

Answers

Answer:

500

Step-by-step explanation:

Answer:

20$

Step-by-step explanation:

because 20*5 =100 which 20 times 5 is the same thing as adding 20+20

+20+20+20 witch is 20$ per dog he walks. hope this helps!

A holiday tree is 4 feet 8 inches tall. There are 2.54 centimeters in one inch. What is the tree’s height in centimeters?

Answers

Answer:

The tree's height is 142.24 cm.

Step-by-step explanation:

There are 12 inches in a foot. This means that 4 feet equal 4 * 12 = 48 inches. Since there are 8 more inches, you add 8 to 48. The sum is 56. There are 56 inches in 4 feet and 8 inches.

Now, to convert:

56 * 2.54 = 142.24 (inches to centimeters)

The tree's height is 142.24 cm.

The parking fee at the amusement park is $15. Each
ride requires a ticket that costs $4. Grams spent $71
for her grandchildren. How many ride tickets did
Grams purchase?

Answers

Answer:

Step-by-step explanation:

Total money spent = 71

Parking fee = 15

71 - 15 = 56

Each ride costs = 4

Total rides = 56 ÷ 4 = 14 rides

HEEELLLLP GRADES ARE DUE In 4 HOURS



0.13(x + 2000 ) = 6,240
What is x?

Answers

Answer:

4240 is what x is eq to

Step-by-step explanation:

Divide the fractions: 20 divided by 15/16 =

Answers

Final Answer:

[tex]\frac{64}{3}[/tex]

Step-by-step explanation:

20 ÷ [tex]\frac{15}{16}[/tex]

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{15}{16}[/tex]

(reciprocal method):

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{16}{15}[/tex]

(change the operation to multiplication)

[tex]\frac{20}{1}[/tex] × [tex]\frac{16}{15}[/tex] = [tex]\frac{320}{15\\}[/tex]       (multiply, then reduce)

64/3 ⇒ 64/3

The value of x in the expression 20 divided by 15/16 will be 21.33 .

Given , 20 divided by 15/16

Division property:

The rules for division are:

(1) positive ÷ positive = positive

(2) positive ÷ negative = negative

(3) negative or ÷ negative = positive

Here both the numbers are positive. Apply rule 1.

20 divided by 15/16

[tex]\frac{20}{\frac{15}{16} }[/tex]

= [tex]\frac{20 \times 16}{15}[/tex]

= 21.33

Know more about division,

https://brainly.com/question/10703980

#SPJ6

What are the real and imaginary parts of the complex number?

10−7i
The real part:

The imaginary part:

Answers

Answer:

Real: 10

Complex: -7i

Step-by-step explanation:

i is imaginary.

The real part of the complex number is 10 and the imaginary part of the complex number is -7i.

What is complex number?

The complex number is of the form a+ib where a and b are real numbers.

The given number is 10-7i.

Compare the given number with a+ib and determine the values of a and b.

a=10

b=-7

In the complex number, a+ib the real part is a and b is the imaginary part.

So, the real part of the given number is 10 and the imaginary part is -7i.

To learn more about complex number click:

https://brainly.com/question/20566728

#SPJ2

What is the value of x?
–2x – x + 3 = –12

Answers

Answer:

x = 5

Step-by-step explanation:

-2 -1(coeffcient of -x) = -3

-3x +3 =-12

subtract 3 (the constant) from both sides

cancelling it on the left and leaving -3x = -15

divide each side by -3 leaving x and 5

x = 5

Suppose you have 9 tubes of paint. How many distinct color groupings can you make with your paint?

Answers

9514 1404 393

Answer:

  511

Step-by-step explanation:

Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...

  2^9 - 1 = 511 distinct color groupings that can be made

__

The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.

For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total number of sodas sold?

Answers

Answer:

1/3

Step-by-step explanation:

The total number of sodas sold is 6, which means the amount of diet soda compared to that is 2/6. This can be further simplified to 1/3.

What is the product of -3 1/3 and -8 7/10

Answers

Answer:

29

I hope this helps!

Answer:

29

Step-by-step explanation:

- Isabel has a mother dog and her puppy that look
exactly alike. The puppy wcighs 6 pounds, and the
mother weighs 48 pounds. Assuming the two dogs are
similar, what is the scale factor of the dilation?

Answers

Answer:

8

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.

If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:

2x2−6x

2x2−6

2x2−3

3x−3

Answers

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

= 2x^2 - 6x

please help me please​

Answers

Answer: x=9

Step-by-step explanation: -9x+1=-80

subtract 1 on both sides

-9x=-81

divide both sides with negative 9

x=9

Check: -9(9)+1=-80

-81+1=-80

-80=-80

Answer:

the answer is X=9

Step-by-step explanation:

hope it helps:)

Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />​

Answers

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2

Answers

Answer:

The answer is B, sorry if I'm wrong.

Step-by-step explanation:

Answer:B=17.3 in2

Step-by-step explanation:

which equation represents a linear function?

Answers

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

Other Questions
PLEASE HELP ASAP!! Choose the reaction that would not lead to the production of hydrogen gas. a. Cu + HClb. Na + H2SO4c. K + H2Od. Zn + HCl What does it mean to say that Siddhartha is "the buddha of this age"?O. He was the first buddha who ever lived.O. He was not very old when he became a buddha.O. He was less important than future buddhas.O. He was the buddha who lived most recently. The blueprint of a design is shown to the clientat which point in the process?B. After construction has begunA. Before construction beginsC. Upon completion of the jobD. The client does not see it Yolande aime le basketball.What do you think is her favorite subject in school?A. La physique.B. L'informatique.C. La biologie.D. L'ducation physique. someone please come out with question about mario (the videogame) What is (65-6) +56 PLEASE HELP!! 20 POINTS!! how to solve 5 + 5 x 5 -5 5 idk this plz help me Mary Jane's red hair is a recessive trait. If Peter is heterozygous for hair color, what is the chance their baby will have red hair?A: 3/4B: 2/4C: 1/4D: 0 what is hardware ? Name the four functional hardware of a computer system Define each of them with the help of a diagram PLZ HELP ME I WILL GIVE BRAINIEST!!!!!!!Select all of the statements that are true of in-text citations.a: The abbreviation for 'page' is used in an in-text citation.b: A comma is not needed between the authors last name and the page reference.c: An in-text citation gives the authors last name and a page reference for the source material.d: An in-text citation is very short and is contained within the text.e: An in-text citation is always in parentheses.f: Every source used for an assignment must be documented with an in-text citation.g: Only direct quotations need to be documented with an in-text citation.h: An in-text citation includes the author and the title of the work cited. In this excerpt from H. H. Munro's The Open Window," which line is an example of direct characterization?"Here we are, my dear," said the bearer of the white mackintosh, coming in through the window,"fairly muddy, but most of its dry. Who wasthat who bolted out as we came up?"A most extraordinary man, a Mr. Nuttel," said Mrs. Sappleton; "could only talk about his illnesses, and dashed off without a word of good-byeor apology when you arrived. One would think he had seen a ghost.""1 expect it was the spaniel," said the nlece calmly, he told me he had a horror of dogs. He was once hunted into a cemetery somewhere on thebanks of the Ganges by a pack of pariah dogs, and had to spend the night in a newly dug grave with the creatures snarling and grinning andfoaming just above him. Enough to make anyone lose their nerve."Romance at short notice was her specialty If you deposit $7500 into an account paying 7% annual interest compounded monthly, howmuch money will be in the account after 9 years? The physical quantity which have both magnitude and direction is a vector?why? Which did the Emancipation Proclamation specifically permit? Free African Americans were allowed to fight for the Confederacy. Free African Americans were allowed to enlist in the Union army and navy. Enslaved people in border states were allowed to move to the North. Enslaved people in border states were allowed to become Confederate citizens. please help quick State the angle bisector theorem. In a diagram of a landscape plan, the scale is 5 cm = 12 ft. In the diagram, thetrees are 9 centimeters apart. How far apart should the actual trees be planted? Whats the answer please explain your answer giving brainliest:D.. how many solutions does 7x=4x-7 have?A) one solution B) two solutionsC) No solutions D) infinite solutions