Write the equation of the parabola in vertex form.


Vertex: (−4,6); Point: (−2,−2)

Answers

Answer 1

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form


Related Questions

Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?

Answers

Answer:

Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.

Step-by-step explanation:

2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).

$2.75 (1.6) = $4.40

$4.50 + $4.40  = $8.90

Two friends operate a trucking company that delivers Goods across three states they lose $24.50 each time a customer chooses to make a delivery with a competitor? Which expression shows the amount that the trucking company makes if P people use a competitor for delivery and the company makes $3,125 before the competition is considered

Answers

Answer:

3,125; 24.5p

Step-by-step explanation:

Answer:

3125-24.5p       and 2,978

Step-by-step explanation:

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:

which is the following solution to
x-13<18

Answers

Answer:

X < 31

Step-by-step explanation:

Answer: X<31

Hope this helps!

Solve: 3(g − 2) = 8

Answers

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3

A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.

Answers

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]

question in picture.

Answers

Answer:

4,3,0.5 youre welcome, good Luckk : )

Write the equation of the line that contains the given point and has the given slope.

(–8, –8), slope is 3

Answers

Answer:

y - 8 = 3(x - 8)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step 1: Define

Point (-8, -8)

Slope m = 3

Step 2: Write in point-slope form

y - 8 = 3(x - 8)

The number of hours worked by each of the employees last week at two stores are listed below.

Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40

Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.

Answers

Answer:

The correct options are;

1) The data for store 1 show greater variability

2) The mean of the data for store 1 is greater than the mean of the data for store 2

Step-by-step explanation:

The given information are;

Hours worked in a week

Store 1

16, 28, 36, 40, 78

Store 2

22, 27, 33, 36, 40

Using an online application, we have;

For store 1

The range is 78 - 16 = 62

Mean  = 39.6

Standard deviation ≈ 20.88 (Higher variability)

Median = 36

Lower quartile = 22

Upper quartile = 59

Interquartile range = 59 - 22 = 37

For store 2

The range is 40 - 22 = 18

Mean  = 31.6

Standard deviation ≈ 6.41  (Lower variability)

Median = 33

Lower quartile = 24.5

Upper quartile = 38

Interquartile range = 38 - 24.5 = 13.5

Answer:

The correct answers are:

1) The data for store 1 shows greater variability.

3) The mean of the data for store 1 is greater than the mean of the data for store 2.

Step-by-step explanation:

I got these two correct on Edge 2021!

Have a nice day :)

The circle shown has a radius of 12 mm. What is the circumference of the circle?

Answers

Answer:

75.36

Step-by-step explanation:

First you would use the formula [tex]C=2\pi r[/tex] and the fill in your values, 2·3.14·12 and you will get 75.36.

Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)

Answers

Answer:

Step-by-step explanation:

527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)

Answer:

500029301.171

Step-by-step explanation:

3/4 change 3/4 to a decimal show work

Answers

Answer:

0.75

Step-by-step explanation:

You just need to convert 3/4 into a decimal.

For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.

3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,

3/4 = 0.75

I’ll give you 10 points and brainley

Answers

Answer:

Srry bro this is way to blurry for me to read... Also dont show your password to randoms.

Step-by-step explanation:

help me pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

A they’re parallel because they have same slope

PLS ANSWER HELP
Thanks

Answers

Its congruent to ELG :)

If anyone answers, I love you.

Answers

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answers

im assuming that the buss only repeat the rout once? so in total they do 2 routes?

bus a at 3:50 and bus b at 4:00

Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120

Answers

Answer:

-44120

Step-by-step explanation:

3x-100 what does x equal?

Answers

Yes it’s 33.33 repeating

which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"

Answers

Answer:

Let x be that number.

[tex] - 8 \div (x + 3)[/tex]

The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.

What’s the highest common multiple?

Answers

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18

Answers

It’s D 18 if wrong I’m sorry but I took this test as well

Answer:

B

Step-by-step explanation:

What is the first step in solving for the solution to this problem?

2(m + 10) = 4(m -15)

Answers

Answer:

Multiplying the variables and numbers in the parentheses by the number next to them.

Step-by-step explanation:

Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)

Answers

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

find the cube of 2.9​

Answers

Step-by-step explanation:

[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]

Answer:

The cube of [tex]2.9[/tex] is [tex]24.389[/tex].

Anoushka needs to stain the circular wooden deck in the backyard. The deck has a diameter of 30 feet. A gallon of stain covers approximately 250 square feet. Each gallon is $33.99. How much will Anoushka spend in order to stain the deck? Use 3.14 to approximate .

Answers

Answer:

$101.97

Step-by-step explanation:

Diameter of circular wooden deck = 30 ft

Radius of the deck = ½ of diameter = ½*30 = 15 ft

Area of deck = πr² = 3.14*15² = 706.5 ft²

1 gallon covers 250 ft² (1 gallon = 250 ft²)

Let x be the number of gallons that will cover 706.5 ft² of the deck

Thus:

1 gallon = 250 ft²

x = 706.5 ft²

Cross multiply

1*706.5 = 250*x

706.5/250 = x

2.826 = x

Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.

1 gallon cost $33.99 (1 gallon = $33.99)

3 gallons cost: 3*33.99 = $101.97

How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,

Answers

The lines are perpendicular

The lines KL and MN perpendicular to each other.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

If a line passes through two points, then the slope of the line is

m = y2-y1/x2-x1

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

m = 0

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

m = 1/0

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other.

Therefore the lines KL and MN perpendicular to each other.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

What is the solution to the linear equation?

–12 + 3b – 1 = –5 – b

b = –2
b = –1.5
b = 1.5
b = 2

Answers

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

The linear equation is:

–12 + 3b – 1 = –5 – b

Collect like terms

-12  -  1 + 5  =  -b  -  3b

Simplify the rearranged equation

-8   =   -4b

Divide both sides by -4

[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]

The given expression, after dividing both sides by -4, will give:

2  =  b

Rewriting the resulting solution:

b  =  2

Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

Learn more here: https://brainly.com/question/2159099

please help will mark as Brainliest ​

Answers

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

=======================================================

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

12 ft
8 ft
8 ft
Find the area of the kite.

Answers

Answer:

The area of the kite would be 48.

48 is the area of the kite
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