For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range.

Answers

Answer 1

Answer:

Vertex: (-3, -1)

Domain: All real numbers or (-∞, ∞)

Range: (-∞, -1]

Step-by-step explanation:

Quadratic Function: f(x) = a(bx - h)² + k

(h, k) is vertex

Step 1: Find vertex

f(x) = -2(x + 3)² - 1

h = -3

k = 1

Vertex = (-3, 1)

Step 2: Graph

When we graph, we should see our domain and range.

Domain is all x-values that can be inputted into the function.

Range is all y-values that can be outputted from the function.

For The Function F(x) = 2(x + 3)2 1, Identify The Vertex, Domain, And Range.

Related Questions

Lindsay is playing a video game. She begins with an initial score of
500 points but loses 280 point throughout the game. She represents
her score using the expression shown.
500 - 280
Which of the following expressions also represents Lindsay's video
game score?
O A. 280 - 500
O B. 280 + 500
O C. 500 - (-280)
O D. 500 + (-280)

Answers

D, it’s like adding negative 280, which would be the same as subtracting it

The expressions also represent Lindsay's video game score is 500 + (-280). The correct option is D.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Lindsay is playing a video game. She begins with an initial score of 500 points but loses 280 points throughout the game.

The expression will be written as below:-

E = 500 + (-280)

Therefore, the expressions also represent Lindsay's video game score is 500 + (-280). The correct option is D.

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Rewrite the expression in the form x

Answers

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

[tex]\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}[/tex]

the side length of a square measures 2 x+1 and the side lengths of a triangle are 2x, 2x, and 3x+10.The square and triangle have the same perimeter. Find the perimeter

Answers

Answer:

perimeter = 52

Step-by-step explanation:

side of square = 2x + 1

so first lets find the perimeter of square

p = 4 × s (side)

p = 4(2x +1)............. from the given

p = 8x + 4...... we will come back for this equation

side of trianles = 2x,2x,3x + 10

second lets find the perimeter of triangle

p = s + s + s ( all the three sides)

p = 2x + 2x + 3x + 10

p = 7x + 10........we got another equation we will use it later

The question says the perimeter of square and the perimeter of triangle are equal so8x + 4(the perimeter of square we solved before) = 7x + 10(the perimeter of triangle we solved before)

8x + 4 = 7x + 10

8x - 7x = 10 - 4

x = 6 ... now lets substitute x

8x + 4

8 × 6 +4

48 + 4

52

the same thing will happen if we substitute for the perimeter of triangle too.

hope u like it ‍❤️‍❤️‍‍❤️‍

for any question comment me

this is true or false?​

Answers

Answer:

The multiplication yes don't know about the addition

Step-by-step explanation:

The earth experiences 50.000 earthquakes per year. Assuming it is a year with 365 days,find the number of earthquakes per hour​

Answers

Answer:

0.00570776255

Step-by-step explanation:

there are 8760 hours in a year

divide 50 by 8760

0.00570776255

The number of earth quakes per hour is 5.7077.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

In one year = 50,000 occurs

In one year = 365 days

In 1 day = 24 hour

In 365 days= 8760 hours

So, number of earthquakes occurred in one hour

=50000/8760

=5.7077

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Anyone know it’s middle school work

Answers

Answer:

B

Step-by-step explanation:

Using the conversion

1 Kg = 1000 g , then

3745 ÷ 1000 = 3.745 Kg

I'm on a 10 minute time limit. Please Answer!!!!! Show Work.

Answers

Answer:

623.64

Step-by-step explanation:

Really?!? Just use a calculator. I think thats right haven't done this in a while

After school activities activity number student Spanish club 19 baseball 24 drama 15 homework help 17 soccer 20 which ratio compares the numbers of students to Spanish clubs in the the total number of students

Answers

Answer:

19:95

Step-by-step explanation:

Spanish club have 19 students

Baseball have 24 students

Drama have 15 students

Home work help have 17 students

Soccer have 20 students

The first step is to calculate the total number of students

= 19 + 24 + 15 + 17 + 20

= 95 students

Since the Spanish club have 19 students and the total number of students is 95 then, the ratio which compares the number of students in Spanish club to the total number of students is 19:95

Answer: 19:95, 19 to 95, or 19/95. They all equal the same so it depends which one is your option. ORDER OF RATIO MATTERS!!

Explanation: The students in the Spanish club are 19 and to find the total number of students, you add 19 + 24 + 15 + 17 + 20 which equals 95. Then you put 19 first then 95. This is because it asked to compare the number of students in the Spanish clubs (so this is first) to the the total number of students (so this is second).

In integers what is -11 -6

Answers

Answer:

-17

Step-by-step explanation:

Simplify the expression 2k+10k-(2k+3)+13

Answers

12k - 2k +16 you add the 2 and 10 on the first half and the 3 and 13 on the other half


Using Accuracy and Precision
-vani is building a rectangular play area. The length of
me play area is 75 meters. The width of the play area is
- 3 meters. If she wants to cover the area in foam, how
much foam does she need to buy?
Due to the accuracy of the tape measure Avani used
the amount of foam needed to cover the play area is
38.9 square meters

Answers

Answer:

a little bit confusing

??????????????????????????????????????????????

Answers

the first one is 2x^2+2x-2
the second one is 2x^2-2x-2
the third one is 6h+6k

russell bought a CD player that costs $120 before it went on sale for 15% discount. If he paid 5% sales tax on the sale price, how much did russell pay for the cd player?

Answers

Answer:

$107.10

Step-by-step explanation:

The original price of the CD player is $120 and we need to take 15% off.

We can find how much we need to subtract by multiplying 120 by .15, which equals 18. Then we can subtract that from 120, to get a sales price of $102.

A shortcut is subtracting 15 from 100 to get 85, and then doing 120*.85 = 102.

From the sales price of 102, there's a 5% tax to add on. 102 * .05 = 5.1

102+5.1 = 107.1

Answer:

$107.10

Step-by-step explanation:

First, find the discount.

Multiply the discount rate, 15% by the price of the CD player, $120

discount rate * price

15% * $120

Convert 15% to a decimal. Divide 15 by 100 or move the decimal place two spots to the left.

15/100= 0.15      or        15.0 --> 1.5 --> 0.15

0.15 * $120

$18

Since it is a discount, subtract $18 from the regular price of $120.

$120-$18

$102

Next, find the tax.

Multiply the tax rate, 5% by the price of the discounted CD player, $102

tax rate * discounted price

5% * $102

Convert 5% to a decimal. Divide 5by 100 or move the decimal place two spots to the left.

5/100= 0.05    or        5.0 --> 0.5 --> 0.05

0.05* $102

$5.10

Since it is tax, add $5.10 to the discounted price of $102.

$102 + $5.10

$107.10

Russell will pay $107.10 for the CD Player after a discount and tax.

How many solutions does the equation 3(4h−1)=−4(3h−5) have?

Answers

Answer:

Step-by-step explanation:

I don’t want more question

I need help no more stress????

0.2 reapiting into fracting

Answers

Answer:

the answer would be 2/9

Step-by-step explanation:

0.22222222... =

2/9

Answer:

1/5

Step-by-step explanation:

What is the measure of each angle?

Answers

(2x+3)+(x-6)= 180 [straight angle]
2x+x+3-6=180
3x=183
x=61
(All measure in degree)

Hope this can help.
The answer

Is

Below

Step by step

AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)

Answers

Ah= 222jsjssksmzmsmsmms

The lines AB and CD are parallel lines.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line AB is m=2+1/-4+8

m=3/4

The slope of line CD is m=9/12=3/4

Both the lines AB and CD having the same slopes.

In parallel lines the slope will be same.

Hence, the lines AB and CD are parallel lines.

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i need help please idk what to do

Answers

Answer:

(X - 10, y - 5)

Step-by-step explanation:

Just like walking

What is the slope of the line that passes through the points (8, 7) and (4, 5)

Answers

Answer:

[tex] \huge{ \boxed{ \sf{ \frac{1}{2} }}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ \: Let the points be A and B}}[/tex]

[tex] \star{ \text{ \: Let A( 8 , 7 ) be ( x1 , y 1) and B ( 4 , 5 ) be ( x2 \: , y2 )}}[/tex]

[tex] \boxed{ \sf{ \: Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \mapsto{ \sf{Slope = \frac{5 - 7}{4 - 8} }}[/tex]

[tex] \underline{ \text{Remember!}} : [/tex]The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \mapsto{ \sf{Slope = \frac{ - 2}{ - 4}}} [/tex]

[tex] \mapsto{ \sf{Slope = \frac{1}{2} }}[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: wishes!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

En una clase de 25 alumnos hay 15 cajas de lápices de colores. Cada caja contiene 20 lápices. Queremos que todos los alumnos tengan el mismo número de lápices. ¿Cuántos lápices tendrá cada alumno?

Answers

Answer: Each student will have 12 pencils.

Step-by-step explanation:

Given:  Total students= 25

Total colored boxes = 15

Total pencils in 1 box =20

Then total pencils in all 15 boxes = 20 × 15 = 300

Now, the number of pencils each students will get = (Number of pencils in all 15 boxes) ÷ (Total students)

= 300÷ 25

= 12

Therefore, Each student will have 12 pencils.

A sound system originally priced at $480 is on sale for 20 percent off. The tax on the purchase after the discount id 7.5 percent. What id the total cost of the sound system including tax?

Answers

Answer:

$412.80

Step-by-step explanation:

480 x 0.20(20%)=96

480-96=384

384 x .075(7.5%)=28.8

384+28.80=412.80

Nick's class did an experiment. They put the same amount of water into four paper cups. To start the temperature was the each cup They put the cups in four different places They left them for thirty minutes, Next they used a thermometer to find the temperature of each cup of water. Predict which location should have the highest temperate

Answers

Answer: in a sunny spot of the classroom and im guessing 95?

Step-by-step explanation:

I also agree the answer is in a sunny spot of the classroom

Which equation shows the inverse property of multiplication? 4 + (-4) = 0 -8 + (-3) = -3 + (-8) 2 times one-half = 1 Eight-fifths + 0 = Eight-fifths

Answers

Answer:

  2 times one-half = 1

Step-by-step explanation:

In order to show a property of multiplication, the equation must involve multiplication. There is only one choice that does.

  2 times one-half = 1

__

The multiplicative inverse of a number, multiplied by the number, results in 1, the multiplicative identity element.

Equation C,2 times one-half = 1 shows the inverse property of multiplication. Option C is correct.

What is multiplicative inverse?

A multiplicative inverse is a number whose value is equal to 1 when multiplied by the original number.

The left-hand side of the equation is;

LHS =  2 times one-half

LHS = 2×(1/2)

LHS = 2

The right-hand side of the equation is;

RHS =1

If both LHS and RHS are equal and the RHS value is equal to 1 the RHS is the multiplicative inverse of LHS.

Equation C,2 times one-half = 1 shows the inverse property of multiplication.

Hence, option C is correct.

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2.
[tex] \sqrt{9} [/tex]
find each square root​

Answers

Answer:

√3x3

The answer is 3......

The square root of this is 3. 3x3=9

PLEASE HELP TIMED SO PLEASE HURRY

Answers

Answer:

U got this

Step-by-step explanation:

THIS IS CHEATING

10b + 18 < 2(4b+2)
Need held

Answers

Answer:

Step-by-step explanation:

10b +18 <2(4b +2)

10b +18 <8b +4

10 b - 8b <4 - 18

2b <-16

b <-16:2

b <-8

Use the order of operations to solve the problem. 7 x 8 + 4 +1​

Answers

Answer:

7x8 is 56 plus four plus one equals 61

Step-by-step explanation:

A commercial jetliner hits an air pocket and drops 264 feet. After climbing 151 ​feet, it drops another 103 feet. What is its overall vertical​ change?

Answers

Answer:

If we take the drops as negatives, and the climbs as positives (the answer will be the absolute value of these) we get:

-221 +174 -156.

When you add these together, you get -203. So the overall vertical change is the absolute value of this, or 203 ft.

Which of the following units is incommensurable with miles? Select the two correct answers. (1 point)
acres
inches
meters
yards
grams

Answers

Answer:

grams

Step-by-step explanation:

Miles measures distance

Looking through the given options; acres, inches, metres and yards are also units of length.

So, we can conclude that they are commensurable with miles.

However, grams measures weights.

Hence,

From the list of given options; grams is incommensurable with miles because they measure different entities.

Answer:

acres and grams

Step-by-step explanation:

Miles is a measure of distance. Acres is a measure of area, and grams is a measure of mass. Knowing this you should know that these two are the answer. Your welcome!

The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)

Answers

Answer: 500 sqrt(2)cm

Explanation:

Form: d = a sqrt(2)

Where d = diagonal = 10m and a = side length

10 = a sqrt(2)
10/sqrt(2) = a

Rationalize the denominator:
10/sqrt(2) x sqrt(2)/sqrt(2)
= 10 sqrt(2)/2
= 5 sqrt(2)

Thus, a = 5 sqrt(2)m

Change to cm:
5 sqrt(2) x 100cm = 500 sqrt(2)cm

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