The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?

Answers

Answer 1

Answer:

x = - 1

Step-by-step explanation:

The vertex is given (-1, 4).

The axis of symmetry is a vertical line and passes through vertex.

Since the x- coordinate of vertex is  - 1, the line of symmetry is x = - 1.

Answer 2

Answer:

x=-1

Step-by-step explanation:

Parabola is symmetric on both sides of the vertex

The axis of symmetry is the x coordinate of vertex

Here the vertex is (-1,4)

So axis of symmetry is x=-1


Related Questions

-0.8 as a fraction!
Please explain I have to go in like 5 minutes!

Answers

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

Find the mean, mode(s), and median for the following set: 90, 92, 94, 91, 90, 94, 95, 98

Answers

Answer:

mean = 93

mode(s) = 90 and 94

median = 93

Step-by-step explanation:

Mean --> average value

[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]

[tex]\sf{mean = \frac{744}{8} }[/tex]

[tex]\bf{mean = 93}[/tex]

.

Mode(s) --> the most frequently occurring value90 = 291 = 192 = 194 = 295 = 198 = 1

mode(s) = 90 and 94

.

Median --> middle value

sort from smallest

90, 90, 91, 92, 94, 94, 95, 98

median :

[tex]\sf{median = \frac{92 + 94}{2} }[/tex]

[tex]\sf{median = \frac{186}{2} }[/tex]

[tex]\bf{median = 93}[/tex]

90 and 94 wold be the answer because if you put it in order it’s the only two that reappears

In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9​

Answers

Answer:

B

Step-by-step explanation:

There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle

4 countries could be first

3 countries could be second

2 countries could be 3rd

1 country can be last.

4*3 * 2 * 1 = 24 different ways.

How much is 2+10.


Please help me i dont know
Will give brainliest

Answers

Answer: 12

2 + 10

12

:)

Answer: 12

Step-by-step explanation: just add 2 to 10

Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left?

Answers

Answer:

5/6 pieces

Step-by-step explanation:

1 4/6 + 1 3/6 = 3 1/6

3 6/6 - 3 1/6 = 5/6

10/6 + 9/6 = 19/6

4/1  = 24/6

24/6 - 19/6 = 5/6

odp.: Zostało mu 5/6 pizzy.

If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?

Answers

Answer:

20 questions

Step-by-step explanation:

12/15 can be reduced to 4/5

you can create a ratio like the following:

4/5 = x/25

cross-multiply to get:

5x = 100

x = 20

Please Help, i am stuck on this question......

Answers

C because if you want to get it right look at a

Please take a look at the picture.

Answers

Answer:

A and B

Step-by-step explanation:

a) -x+0+(-x)=0

Combine like terms.

-2x+0=0

Subtract 0 from both sides.

-2x=0

Divide both sides by -2.

x=0

b) -x-(-x)=0

Remove parentheses.

-x+x=0

Combine like terms.

0=0

Hope this helps :)

solve for a?
a
+
-
If a
a
= 2
6 3
=

Answers

4

Step-by-step explanation:

Last week the cost of a pair of socks was $3.25. This week they are on sale for $1.95. What is the percent change from last week to this week?
Tell whether this is an increase or a decrease then give the percent the value changed.

Answers

Answer:

The socks are 40% off, and it is decreased to 60%.

Step-by-step explanation:

:))

I dare you to answer this ,’:)

I’m serious just help me already

Answers

9514 1404 393

Explanation:

Put the given value of x into the expression and evaluate it.

x, 10(x +6), y = 10x +60

2, 10(2 +6), y = 10(8) = 80

4, 10(4 +6), y = 10(10) = 100

6, 10(6 +6), y = 10(12) = 120

8, 10(8 +6), y = 10(14) = 140

Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate

A.$1.75

B.$2.00

C.$2.50

D.$5.00

Answers

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)


Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How much
more did the green grapes weigh than the red grapes?

Answers

Answer:23/10 pounds heavier

Step-by-step explanation:

first we transform the mixed fraction to a normal fraction

2 1/2 = 5/2

Now transform

5/2 = 25/10

1/5 = 2/10

25/10 - 2/10 = 23/10

So the green grapes weigh 23/10 pounds more than the red grapes.

Can someone help me please I will mark u brilliant

Answers

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)

Hello, can anyone help with this question?

Answers

Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

thanks in advance ill mark brainliest ​

Answers

the answer is the first one

Answer:

i

Step-by-step explanation:

i think it is a. ..........

Solve the system of equations algebraically.

3x−6y=−15
−9x+12y=21

Answers

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer:

(3, 4)

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4

Find the value of x:

3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3

The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo

Answers

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

learn more: https://brainly.com/question/23910946?referrer=searchResults

The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3

Answers

Answer:

B) 7/10 and 4/5

Step-by-step explanation:

Answer:

B) 7/10 and 4/5.

Step-by-step explanation:

Convert the values to decimals

7/9 = 0.7777...

A)  = 0.6 and 0.75  -  NO.

B)  = 0.7 and 0.8 - YES.

Due Tomorrow: Answer question 18 using steps

Answers

[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]

[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]

[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]

Now

[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]

[tex]\\ \sf\longmapsto AC^2=49+81[/tex]

[tex]\\ \sf\longmapsto AC^2=130[/tex]

[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]

which sets does -8/9 belong to

Answers

Answer:

all of the above

Step-by-step explanation:

What is the answer to this problem?

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Which equation illustrates the matrix associative property of addition?​

Answers

Answer:

A  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

C[0/0 0/0] +[4/2 3/1] =[4/2 3/1]

Compensation
10. You have a choice of receiving a wage of $34,000 per year, $2840 per month, $650 per week, or $18
per hour. Which pay choice would you take? Assume a 40-hour work week with 52 weeks per year.

Answers

Answer:

Step-by-step explanation:

Monthly rate:

So if we convert $2840 per month into year that would be: 2840 * 12 (that's how many months in a year) = 34,080

Weekly rate:

There are approximately 4.345  weeks per month since it sometimes changes. So, to find the wage per month: 650 * 4.345  = 2824.25. To find the yearly rate multiply it by 12. So, 2824.25 * 12 = 33,891

Hourly rate:

Yearly Salary : $35,100

$18 per hour

Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1

Answers

Mode is the bailie that is listed the most.

There are 5 3’s which is the most of any of the values given.

Mode = 3

Hello!

The mode is the number that is seen most often in the given dataset.

Let's take a look at all the numbers:

1 is seen twice

2 is seen once

3 is seen 5 times

4 is seen 4 times

So 3 is the mode. Hope it helps. Please ask me if you have any questions.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

The area between z = -1.25
And z = 0.32

Answers

Answer:

there a answer I'm not good in math

A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states

Answers

The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.

Answer and Explanation:

What is given;

Students 27%. (s)

Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.

What is the minimum unit cost of C(x)=0.7^2-210x+27,464?

Answers

no local extrema i think?

20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.

0.9500

0.5580

0.0401

0.0002

Answers

Answer:0.5580

Step-by-step explanation:

For the given equation, what is the step to clear the fractions and who -- Multiply both sides by 6 to get 2-1 =7 Multiply both sides by 12 to get 2y - 1 = 7 Multiply both sides by 6 to get dy - 1 = 21 Multiply both sides by 18 to get 12y - 3 = 7​

Answers

Step-by-step explanation:

you should add the equation for one to answer

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