Use what you've learned to write the equation of a parabola that is narrower than y = x ,
2
opens downward, and has vertex (2, – 4).

Answers

Answer 1

Answer:

y = -a(x – 2)² – 4

a > 1

Example:

y = -2(x – 2)² – 4

Step-by-step explanation:

y = a(x – h)² + k

____________________

vetex: (h, k)

a: vertical reflection or stretch/compression

__________________________________

If it opens downward, has a vertex of (2, -4) and is narrower than y = x².

Then x² will have a negative coefficient of less than -1 and the input of x will be subtracted by the x value of the vertex which is 2, and the output will be added by the y value of the vertex which is -4.

Therefore y = -a(x – 2)² – 4 where a > 1


Related Questions

2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.

Answers

Answer:

Required equations are:

d + 10 = 55c + 15 = d

Solving the first, we get:

d = 55  - 10d = 45

Solving the second we get:

c + 15 = 45c = 45 - 15c = 30

Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to

Answers

Answer:

14 units

Step-by-step explanation:

Area is l*w and since the length is known, solve for width

182/13=13w/13

w=14

Answer:

14 units

Step-by-step explanation:

Given, the area of rectangle = 182 square units

length = 13 units

width = ?

By using the formula to find the area of a rectangle, we have

area of rectangle = length * width

182 = 13 * width

182/13 = width

14 units = width

compare these integers
-10_____ 1

A.<
B.=
C.>

Answers

Answer:

-10<1

which means that -10 is less than 1

Answer:

A

Step-by-step explanation:

-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers

What is the value of x in the
equation below?
5x +9= 74

Answers

The answer is 13 because 74-9= 65. 65/5 = 13

What is 0.68 expressed an a fraction in simplest form with both the 6 and 8 repeating

Answers

Answer:

68/99

Step-by-step explanation:

Solve The Quadratic Equation by the Square Root Method.

(x + 2)^2=25

Answers

Answer:

x=-7, x=3

Step-by-step explanation:

Seperate into possible cases

Solve the equation

Answer:

x = 3    or x = -7

Step-by-step explanation:

(x + 2)^2=25

Take the square root of each side

sqrt((x + 2)^2)=sqrt(25)

x+2 = ± 5

Subtract 2 from each side

x+2-2 = -2 ±5

x = -2 +5  or x = -2 -5

x = 3    or x = -7

32 km 24 km What is the length of the hypotenuse? C = kilometers ​

Answers

Answer:

40 kilometers

Step-by-step explanation:

the hypotenuse is a² + b² = c²

so first we have to get 32 and 24 into ²

            32² = 1024       (32 × 32)

            24² = 576         (24 × 24)

1024 + 576 = 1600

now we need to find the square root of 1600

√1600 = 40     (calculator)

therefore, the hypotenuse is 40 kilometers

goodluck, hope this helped,

-cheesetoasty

Can someone please help me on this problem?

Answers

Answer:

$5820.07

Step-by-step explanation:

Substitute 243 into the equation for n:

[tex]c=117\sqrt[3]{243^{2} }+1264\\c=117\sqrt[3]{59049}+1264\\c=117*38.9407384+1264\\c=4556.06639+1264\\c=5820.06639[/tex]

Round 5820.06639 to the nearest hundredth:

5820.07

$5820.07

Determine whether or not the triangle with the given side lengths is a right triangle.
60 inches, 11 inches, 61 inches
leg a
in
leg b =
in
hypotenuse c =
in
Right triangle? Yes or No.

Answers

I would say no because I think the highest corner degree would be 79 degrees and a right triangle needs to be 90 degrees. Sorry if it’s wrong.

How many times greater is the value of the 3 in 3,499 than in 6,399

Answers

Answer:

967 times

Step-by-step explanation:

3 / 3499 is 1166.33333

3 / 6399 is 2133

Here it is , I have like 19 more to go

Answers

I’m not sure if I need to explain but I got c.

does anyone know the answer?? i’ll mark brainlists

Answers

I’d say D as the answer

Use picture

Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7

Answers

The second one will be the answer
X= -2 and -7

find the slope, y-intercept. write the equation :).

Answers

y=mx+b
m=2/5
b= y-intercept witch is 4

y=2/5x+4

slope: -4/5

y-int: 4

y=-4/5x+4

A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?

A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2

Answers

The answer is D
Use Conects

A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number

Answers

Answer:

D. Rational Number

Step-by-step explanation:

Integers are defined as all whole numbers, positive and negative, including 0. Since in the list there is a number that is not whole, A is not the correct answer choice.Whole numbers are all positive numbers (including 0) without decimals or fractions. Since the list has a number that is not a whole number, along with two that are negative, B is also not correct.Natural numbers are all positive numbers (excluding 0) without decimals or fractions. Since there is a 0 in the list, C is not correct.Rational numbers are all numbers that can be simplified into a ratio with 2 integers (i.e. π and e are not rational). Since every number on the list can be put into this category, answer choice D is correct.

PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.

Answers

Answer:

diameter of the wheel = 28.98 in (2 d.p.)

Step-by-step explanation:

Given information:

A unicycle wheel makes five rotationsThe unicycle travels 37.94 feet

Circumference of a circle = πd  (where d is the diameter)

One rotation of the wheel is equal to the circumference of the wheel.

Therefore, 5 rotations is equal to the sum of 5 circumferences.

To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:

[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]

As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:

[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]

Therefore, the diameter of the wheel is 28.98 in (2 d.p.).

The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."

When you factor those out, you have this remaining:

5x(x + 3) + 6(x + 3).

What is the final answer?

Group of answer choices

(x + 3)(30x)

(x + 3)(5x + 6)

(x + 3)(11x)

Prime

Answers

Answer:

(5x + 6) (x + 3)

hope it helps

Find the area of the right triangle.

Answers

54 is th answer because ther is 6 units on one side and 9 units in the other and when you times you get this I think

Answer:

[tex] \frac{1}{2} \times 9 \times 6 = 27 \\[/tex]

You have to count the units then put the rule

[tex] \frac{1}{2} \times base \: \times hight[/tex]

Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.

Answers

Note: Consider we need to find the height of the container.

Given:

The volume of container in the shape of right rectangular prism = 43.875 cubic meters.

Length = 5 meters.

Width = 3.9 meters.

To find:

The height of the container.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get

[tex]43.875=5\times 3.9\times h[/tex]

[tex]43.875=19.5\times h[/tex]

[tex]\dfrac{43.875}{19.5}=h[/tex]

[tex]2.25=h[/tex]

Therefore, the height of the rectangular container is 2.25 meters.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer and Step-by-step explanation:

Let's put the information given into equations.

Let's also denote x as individual songs and y as albums.

Charlene -  6x + 2y = 25.92

Keisha -  4x + 3y = 33.93

Those above equations is answer choice option, which is D.

So, D is the correct Answer.

#teamtrees #PAW (Plant And Water)

Which of the following best describes the equation below?

y = 8x + 7
A.
neither linear nor nonlinear
B.
linear
C.
both linear and nonlinear
D.
nonlinear

Answers

Answer:

B

Step-by-step explanation:

Which expression could be used to evaluate the expression below?

Answers

Answer:

Step-by-step explanation:

Is there supposed to be a picture

Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)

Answers

Answer:

x = 0.75 feet

Step-by-step explanation:

The area of a square is 18/32 square foot

We need to find the side length of the square.

The area of a square of side x is given by :

[tex]A=x^2[/tex]

Substitute all the values,

[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]

So, the side length of the square is equal to 0.75 feet.

What is equivalent to 5(3t+9v)

Answers

Answer:

15t+45v

Step-by-step explanation:

Ten times the square of a non zero number is equal to fifty times the number.

What is the number?

Answers

Answer:

5

Step-by-step explanation:

10x^2=50x

10x=50

x=5

x=5 hsjsbseinsosnsiwnskdbisndisnsdjd

f(x) = 3 x e^2x
That's the problem​

Answers

Answer:

6 e (*2)x

Step-by-step explanation:

i hope this helps and the 2 is a square unit

Answer:

y = 0

Step by step explanition:

Calculate the surface area of the figure:

54ft
198ft
21ft
108ft

Answers

Answer:

108

Step-by-step explanation:

What is the value of (5r+1/5)² when r = 1?

Answers

Answer:676/25

Step-by-step explanation:

when r=1

(5(1)+1/5)^2

(5+1/5)^2

((25+1)/5)^2

(26/5)^2

676/25

At a publishing company 60% of the editors are female.
30% of the female editors and 20% of the male editors have a maths degree.
What percentage of all the editors have a maths degree?

Answers

0.3 percent because 50% of 60% is 0.3%

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