If the line x = 3 is the axis of symmetry of a parabola, which coordinates below could be x-intercepts of the parabola?
0 (-8.0) and (-2,0)
0 (-1,0) and (5,0)
0 (-1,0) and (7,0)
O (-3,0) and (3, 0)

Answers

Answer 1

Answer:

(-1,0) and (5,0)

Step-by-step explanation:

Answer 2

The coordinates of the parabola are (-1,0) and (7,0).

The correct option is C.

What is a parabola?

Parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus ) and a fixed straight line (the directrix ).

Given:

The line x = 3 is an axis of symmetry of a parabola.

That means the coordinate of the x-intercept is (3, 0)

From the given choices;

(A). (-8.0) and (-2,0)

The coordinate of the x-intercept = (-8-2/2, 0) = (-5, 0)

(B). (-1,0) and (5,0)

The coordinate of the x-intercept = (-1+ 5/2, 0) = (2, 0)

(C). (-1,0) and (7,0)

The coordinate of the x-intercept = (-1 + 7/2, 0) = (3, 0)

(D) (-3,0) and (3, 0)

The coordinate of the x-intercept = (-3 + 3/2, 0) = (0, 0)

Therefore, the coordinates are (-1,0) and (7,0).

To learn more about parabolas;

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Related Questions

Find the volume (don't forget your UNITS) *

Answers

The vloume is 5*7*2=70 inch

Answer:

70 cubic in

Step-by-step explanation:

2x7x5

70

2 minutes 10 seconds-------130 seconds put the sign​

Answers

Answer:

2 minutes 10 seconds = 130 seconds

Step-by-step explanation:

Given that,

LHS = 2 minutes 10 seconds

RHS = 130 seconds

Solving LHS first,

We know that,

1 minute = 60 seconds

2 minute = 120 seconds

2 minutes 10 seconds = 120s + 10 s

= 130 seconds

It means,

LHS = RHS

So,

2 minutes 10 seconds = 130 seconds

A physical education teacher wanted to know the effects of various activity levels on body composition. She surveyed her physical education classes and categorized 30 students into five activity levels based on the amount of daily exercise in which the students participated: inactive, semiactive, normal, active, and very active. She measured percent body fat values using skinfold calipers on all subjects with the following results.

Inactive Semiactive Normal Active Very Active
30.2 29.4 22.9 17.6 10.9
29.6 17.6 25.4 13.4 13.7
35.2 26.4 19.6 20.3 12.8
19.1 25.3 18.7 19.6 14.7
26.3 22.5 21.8 15.1 9.3
22.4 28.6 24.9 10.7 12.7

Required:
a. What is the independent variable in this study? What is the dependent variable?
b. What are the means and standard deviations for each group?
c. Does a significant difference exist among any of the groups?

Answers

Answer:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The mean and standard deviation are;

(Mean, Standard deviation)

Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73),  Very Active (12.35, 1.95)

c. Yes

Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active

Step-by-step explanation:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The given data are presented as follows;

Inactive [tex]{}[/tex]  Semiactive   Normal  Active   Very Active

30.2  [tex]{}[/tex]      29.4               22.9       17.6       10.9

29.6 [tex]{}[/tex]       17.6                25.4        13.4      13.7

35.2   [tex]{}[/tex]     26.4               19.6         20.3     12.8

19.1   [tex]{}[/tex]       25.3               18.7          19.6      14.7

26.3 [tex]{}[/tex]       22.5               21.8          15.1       9.3

22.4   [tex]{}[/tex]     28.6               24.9         10.7       12.7

Bymaking use of Microsoft Excel, we have;

                                  Inactive [tex]{}[/tex]  Semiactive   Normal    Active   Very Active

Mean                           27.13  [tex]{}[/tex]      24.97            22.217       16.12       12.35

Standard Deviation     5.8 [tex]{}[/tex]  [tex]{}[/tex]       4.367              2.73         3.73         1.95

c. Yes

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The degrees of freedom = n - 1 = 6 - 1 = 5

The critical t = 2.5706

Therefore, we have;

The test statistic for Inactive and semi active ≈ 0.72875

The test statistic for Semiactive Normal ≈ 1.309

The test statistic for Inactive and Normal ≈ 1.8773

The test statistic for Semiactive and Active ≈ 3.775 (Significant)

The test statistic for Semiactive and Very Active ≈ 6.464  (Significant)

The test statistic for Normal and Very Active ≈ 7.204  (Significant)

The test statistic for Normal and Active ≈ 3.231  (Significant)

The test statistic for Active and Inactive ≈ 3.91  (Significant)

The test statistic for Active and Very Active ≈ 2.194

The test statistic for Inactive and Very Active ≈ 5.92  (Significant)

Where the test statistic is larger than the critical 't' the statistic is significant

Jackson started writing a story at 8:30 AM He stopped writing at 1:15 P.M. How long did he write?​

Answers

Answer: he wrote for an five hours and forty-five minutes

Step-by-step explanation:

Help me answer my homework questions!

Answers

Answer:

Page 1: D

Page 2: A

Page 3: D

dad lol

The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.

Answers

Answer:

40

formula is pi × diameter

40.82

Find the area of a circle with a diameter 4. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal

Answers

Answer:

Step-by-step explanation:

[tex]A=\pi r^2\\ \\ A=\frac{\pi d^2}{4},\ d=4\\ \\ A=\frac{16\pi }{4}\\ \\ A=4\pi[/tex]

5 feet. how many miles is that using the scale? 1 ft= 4 mile

Answers

Answer:

your answer I think would be 20 miles

50 POINTS
What is 20÷(-10)​

Answers

Answer:

20÷(-10)​ = -2

what is the answer
1 x -2 +3

Answers

Answer:

The anwser is 1.

Step-by-step explanation:

Find the equivalent expression of 1/3

Answers

Answer:

..........

Step-by-step explanation:

1 = 1 × 2 = 2

3. 3×2. 6

A(3,0) B, (2,7) C(6,4)
What is the slope of line bc

Answers

Answer:

You go down 3 and right 4 to get from point B to point C

Step-by-step explanation:

-3/4

1 Division euclidienne<br />Activite<br />11 pirates et leur chef doivent se partager 197 pièces d'or. Le chef<br />pirate affirme : « Chacun de nous aura le même nombre de pièces<br />et les pièces restantes seront ajoutées à ma part. »<br />1 Expliquer pourquoi chacun aura entre 10 et 20 pièces.<br />2 a. Recopier et compléter cette division.<br />b. En déduire le nombre de pièces d'or que recevra chaque pirate et le chef.<br />C d<br />1 9<br />-<br />3 Le lendemain, les 12 pirates trouvent un nouveau trésor composé de<br />2335 pièces d'or. Utiliser la touche (ou 2nde - de la calculatrice<br />pour trouver le nombre de pièces d'or que recevra chaque pirate et le chef.<br />Critères de divisibilité​

Answers

What????????????????????

If 40% of the voters who responded are over 40 years old how many voters responded it all

Answers

The number of voters that responded in all is unknown since I don’t know how many voters contains in 40%, if there’s 40 voters that’s over 40 and they’re 40% of all votes, there would be 100 voters in all, but I’m not sure if that’s what your looking for.. please explain..

What is the center and radius of the​ circle? (x-1)^2+y^2=25

Answers

Answer: The center is (-5,2)

The radius is 5

Step-by-step explanation:

Equation of a circle is:

(x-h)^2+(y-k)^2=r^2

(x+5)^2+(y-2)^2=5^2

Comparing both equations we get :

The center (-5,2)

The radius is 5

Hope This Helps :)

A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast

Answers

Answer:

hello the options to your question is missing attached below are the options

answer : The number that had a boy and ate breakfast ( option 3 )

Step-by-step explanation:

The odds of having a boy if you eat breakfast is ; The number that had a boy and ate breakfast

This simply because the dependent variable is the Gender of the baby while the independent variable is Breakfast

In January 2007 the population of Canada was 32 million.
7 million of these Canadian people spoke French as their first language.
(a) Express 7 million as a percentage of 32 million.
Give your answer correct to 1 decimal place.

Answers

Answer:

21.9%

Step-by-step explanation:

7000000/32000000=0.21875

move the decimal over two places to get percent and round the 8 up because of the 7. 21.9%

Monica and jaimy are creating number patterns. Monica uses the rule . "Multiply by 3 and stats at 4 .Jaimy uses the rule "add 6 and stars at 12 .which term in Jaimy's

Answers

Answer:

Jaimy's fifth term equals Monica third term of 36.

Step-by-step explanation:

Monica:

Multiply by 3 and starts at 4.

4*3 = 12

12*3 = 36

36*3 = 108

...

So: {3,12,36,108,...}

Jaimy:

Adds 6 and starts at 12. So

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

...

So: {12,18,24,30,36,...}

So Jaimy's fifth term equals Monica third term of 36.

QUICK!! NEED HELP ASAP!!!

Answers

Answer:

x to the 4th power+ 87x + 34

Step-by-step explanation:

I need help with this

Answers

Answer:

x=45

Step-by-step explanation:

This is a triangle so it interior degrees will add up to 180.

W

Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.

We can find OAC by using the triangle interior theorem,

[tex]45 + 90 + x = 180[/tex]

[tex]135 + x = 180[/tex]

[tex]x = 45[/tex]

Find the Area of the Polygons
Please Help Me!!!!!!!!!!!!!!!

Answers

Answer:

Um, the second one is 120 units..

Step-by-step explanation:

Answer:

The first one is 64 sq un

The second one is 120 sq un

Step-by-step explanation:

I do Rsm lol I cant figure out the third one

what is the mean will give brainlyest

Answers

The mean means the middle

What is the answer to : (d+2)(-7)=

Answers

Answer:

-7d - 14

Step-by-step explanation:

that is the answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{(d + 2)(-7)}\\\\\large\text{DISTRIBUTE}\\\large\textsf{(d)(-7) + (2)(-7)}\\\large\textsf{(-7)(d) = -7d}\\\laefe\textsf{2(-7) = -14}\\\large\textsf{= \bf -7d - 14}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -7d - 14}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I need help please!!I don’t want to fail again

Answers

9514 1404 393

Answer:

  2/9 square yard

Step-by-step explanation:

You can see that the 1-yard square is divided into 18 rectangle. Of those, 4 are colored, so the fraction of the area that is colored is 4/18 square yard.

That fraction can be reduced by dividing 2 from each of those even numbers:

  4/18 square yard = 2/9 square yard

The shaded area is 2/9 square yard.

when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number​

Answers

Answer:

4.99

Step-by-step explanation:

i cant remember how i got 4.99 but can show u how to check

= 55 + 4.99 = 59.99

59.99 divide 3 = 19.99666667

= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)

= 4.99 (was rounded)

Select the correct answer.
What is 60 as a product of its prime factors?
2x3 x 52
2x32 x 5
2x3 x 5
22 x 3 x 5

Answers

It should be the last one, but it’s 2^2 (2 to the power of 2 I can’t rlly write it here) not 22

What will the cost at the register be for a Playstation game that costs $59.99 with the 6% sales tax included?

Answers

Answer: $63.59

Step-by-step explanation:multiply $59.99 by 1.06

Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?

Answers

If jill collected 19 gallons equally between 7 jars it will 109

please help me i really need help please

Answers

Answer:  66.

explanation: Ok so right triangle: 1 right angle or 90° and 2 acute angles (Less than 90°). We know that one of the angles are equal to 24° and the right angle is equal to 90° degrees. Now what? We add those 2 values together. 90 + 24 = 114. In the background, a triangle is equal to 180°. So now that we have our 2 core values together, we subtract. The reason why is because this is a missing value type equation. In these types, (usually indicated by the word find) we can subtract 2 values. Our 2 values is 114 and 180. When we subtract both, we get 66.

A triangle has side lengths of 23 cm, 6 cm, and 28 cm. Classify it as right,acute, or obtuse


Obtuse
Right
Acute

Answers

It is a obtuse angle
It is an obtuse angle
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