Solutions to a quadratic equation are -7 and 1. What is the equation of its axis of symmetry?

Answers

Answer 1

Answer:

Axis of symmetry: x=-4

Step-by-step explanation:

If x=-7 and x=-1 are solutions to a quadratic equation, then that quadratic equation must be (x+1)(x+7)=0 -> x^2+8x+7=0 as both solutions satisfy the Zero Product Property where the function is f(x)=x^2+8x+7. The axis of symmetry would be the line x=-b/2a which means the axis of symmetry is x=-(8)/2(1)=-8/2=-4 -> x=-4. It can also be found by turning f(x)=x^2+8x+7 into f(x)=(x+4)^2-9 by completing the square, and since h=-4, then the axis of symmetry would be x=h=-4. Refer to the graph.

Solutions To A Quadratic Equation Are -7 And 1. What Is The Equation Of Its Axis Of Symmetry?

Related Questions

I really really really need your help

Answers

1 2/3 divided by 5/6 = 2

Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)

Answers

d makes the most sense

The correct range is (80, 112).

The correct option is (D).

What is mean?

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

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please find the missing side of this triangle

Answers

The answer is 15.01

First you need to find the other angle of the triangle so you do 90+25 which gives you 115 and subtract that by 180 because all angles of a triangle add up to 180. That gives you 65 then you will use TAN(65) and get 2.144506920509559 which you will then multiple by 7 to get 15.01154844356691 which you then round to get 15.01!

GIVING BRAINIEST IF CORRECT!!!!!

Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards

Answers

2 1/2 + 1 3/4= 4 1/4

4 1/4 - 3= 1 1/4

ANSWER:
B. 1 1/4 yards

Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.

Which population sample does NOT produce a biased result?

A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school

Answers

Answer: E is the answer

Step-by-step explanation:

The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.

What is a survey?

Surveys can be used to determine how representative each person's opinions and experiences are.

When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.

This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.

The same holds true if your queries are challenging for customers to comprehend and honestly answer.

As, when he asks every fifth student arriving at school, it can lead to an unbiased result.

Thus, the correct option is E.

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brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

please please please help!

AD = ___ units

Answers

I believe it’s 5 units sorry if I’m incorrect

Help please need answer ASAP

Answers

Answer:

60

Step-by-step explanation:

45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.

Hope this helps :D

solve for x. Leave your answer in the simplest radical form.

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = [tex]\sqrt{20}[/tex]

x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex]

a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.

Answers

Answer:

14 = c

Step-by-step explanation:

it is just like u said;

a + b = c

6 + 8 = c = 14

(it could also be 8-6 = c = 2)

Find the slope of the line below:

Answers

Answer:

Step-by-step explanation:

3

The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?

Answers

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.

Answers

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

4.Complete each of the following BRAINIEST and 50 points its just Trigeometry​

Answers

Answer:

#1:

cos a = opp/hyp = cb/ca

tan a = opp/ajd = cb/ab

sin c = adj/hyp = ab/ca

cos c = opp/hyp = ab/ca

tan c = opp/adj = ab/cb

2: *i dont have the square root symbol*

sin 60 = 3/2

cos 60 = x/2

tan 60 = 3/x

sin 30 = x/2

cos 30 = 3/2

tan 30 = x/3

3: *i dont have the square root symbol*

sin 45 = 2/x

cos 45 = x/2

tan 45 or 48 = x/y

Can someone help me out my grads are bad

Answers

Answer:

50 m^2

Step-by-step explanation:

3cm = 5 m

6 cm = 10 m

5 x 10 = 50 m^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

50 [tex]m^{2}[/tex]

Step-by-step explanation:

3cm = 5m

6cm = 10m

5x10 = 50

What is the probability of rolling a 6 and then a 7 on a number cube?

NO LINKS PLEASE!​

Answers

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

Solve for x in the diagram below.

Answers

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

QUESTION 2 PLEASE HELP ME!!!

Answers

Answer:

Look it up up

Step-by-step explanation:


21 3/5 is what percent of 40?

Answers

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

I need this please help mee ​

Answers

Answer:

A, 120.

Step-by-step explanation:

x-15+75=180

x+60=180

x=120.

Plz help will mark brainliest

Answers

Answer:

20

Step-by-step explanation:

First step is finding an angle in the rightmost triangle (angle K)

Using TOA we have

Tan(x)=4/8

x=26.565

which means that 90-26.565= 63.4349 will give us angle K in regards to the left triangle

Using this we can solve for JM

Tan(63.4349)=x/8

8tan(63.4349=x

x=16

So if JM = 16

and LM=4

take their sum to find JL

16+4=20

3
What is the difference of
21
?
4

Answers

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

A trapezoid has a height of 12 feet,
and base measurements of 15 feet and
10 feet. What is the area?
[?] square feet
Hint: The formula for the area of a traxzod is to

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Given :

→ Base = 15 and 10

→ Height = 12

To Find :

→ Area of trapezoid

Solution :

Area of Trapezoid = (a + b)/2 × h

= (15 + 10)/2 × 12

= 150 ft²

∴ The area of Trapezoid is 150 ft²

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

An equation is shown.
x^3 = 125
What are all the possible values of x?

A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25

Answers

Answer:

the answer is C

Step-by-step explanation:

the answer is C

In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.

Answers

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer: the answer is d

Step-by-step explanation:

HELP!!!
Which of the following represents the asymptote of the graph

Answers

x=2 or y=-1
these are the points that the graph avoids

1. last question. please help me out thank you. ill mark you brainlist

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

Use the relationships between the angles to find the value of . 75° 40 X 15 degrees​

Answers

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

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