State the period, midline, amplitude, and range of the given graph. (I got them wrong, I will mark brainliest!)

State The Period, Midline, Amplitude, And Range Of The Given Graph. (I Got Them Wrong, I Will Mark Brainliest!)

Answers

Answer 1

Answer:

Period:  [tex]\pi[/tex]

Midline:  y = -3

Amplitude:  4

Range:   [-7, 1]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]\pi[/tex]

Midline - center line

Range = -7 ≤ f(x) ≤ 1

[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]

⇒ Midline:  y = -3

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 1

center line:  y = -3

Therefore, amplitude = 1 - (-3) = 4

Range - the set of all values that the function takes

-7 ≤ f(x) ≤ 1  →  [-7, 1]

Answer 2

#Period

Find the distance between two peaks

It's π

#Midline

Range of the pitch (Peak to trough distance)

(-7,1)

Midline:-

[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]

Midline is y=-3

#Amplitude

Midline is y=-3Trough=y=-7

Distance:-

A=-3+7=4

#Range

The pitch

[-7,-1]

Related Questions

What is the value of 2x^2-5x+6 when x= -2

A. -24
B. 4
C. 24
Or D. 32

Answers

Answer:

C=24

Step-by-step explanations:

The table shows prices that three restaurant chefs paid for the same kind of salmon at the Florida Fish Factory
Price, p
Weight, w
3 Ib.
$ 27.00
5 lb.
$ 45.00
8 lb.
$ 72.00
The equation p= kw, shows the relationship between the price of salmon. p. and the weight of the salmon
What is the value of the constant of proportionality in this situation?
per pound

Answers

Answer:

its a

Step-by-step explanation:boo

Answer: it’s $9 per pound

Step-by-step explanation:


Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).

Answers

Answer:

              f(x) = 3(x - 7)²  - 4

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                       f(x) = a(x - h)² + k

the vertex is (7, -4)  ⇒   h = 7,  k = -4

so:

     f(x) = a(x - 7)² + (-4)

    f(x) = a(x - 7)² - 4

The parabola goes through the point (5, 8) ⇒   x=5,  f(x)=8

8 = a(5 - 7)²  - 4

8 = a(-2)²  - 4

+4           +4

12  = 4a

÷4       ÷4

a = 3

It means the equation of the parabola in vertex form:

                               f(x) = 3(x - 7)² - 4

add the polynomials (2x + 3) + (2x + 1)

Answers

Answer:

4(x+1)

Step-by-step explanation:

Factor 2x+3+2x+1

4x+4

=4(x+1)

Answer:

here's your answer

please mark me as brainliest

Is PQS congruent to RQS by HL? If so, name the legs that allow the use of HL.

Answers

Answer:

Yes.

RS ≅ PS

QS ≅ QS

Step-by-step explanation:

The Hypotenuse-Leg Congruence Theorem states that when the hypotenuse and one leg of a Right-angled triangle are congruent to that of another Right-angled triangle, the two Right-angled triangles are therefore congruent.

In the diagram given, the hypotenuse (RS) and a leg (QS), of ∆RQS is congruent to the hypotenuse (PS) and a leg (QS) of ∆PQS. Therefore, ∆PQS is congruent to ∆RQS by HL Congruence Theorem.

Yes, PQS congruent to RQS by HL is true statement according to the diagram.

Hence :

RS ≅ PS

QS ≅ QS

Step-by-step explanation:

Given information:

The hypotenuse RS and PS

And leg QS.

Hypotenuse-Leg (HL) theorem:

The H-L theorem states that If, the hypotenuse and one leg of a Right-angle triangle are congruent to that of another right angle triangle then the given two right angled triangle will be congruent.

As, we can see in the given diagram the hypotenuse (RS) and the leg (QS) of triangle ΔRQS is congruent to hypotenuse (PS) and leg (QS) of triangle ΔPQS.

Hence , we can say that the ΔPQS is congruent to ΔRQS by H-L Congruent theorem.

For more information visit:

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Pls help meeeeeeee Solve 10 + 6p = 22

Answers

Answer:

p=2

Step-by-step explanation:

22-10=12

12/6p=2

10+6p=22
6p=22-10
6p=12
6p=12
— —
6 6

P=2

You measure a tree's shadow and find that it is x = 13 meters long. Then you measure the shadow of a nearby two-meter lamppost and find that it is 75 centimeters long. (See figure.) How tall is the tree? (Round your answer to one decimal place.)

Answers

Answer:34.7

Step-by-step explanation:

h/ 13 = 2/0.75

h= 2 • 13 / 0.75

34.7 m (rounded)

Tree is 34.7m tall.

What is similar triangle?

In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.

So according to asked question,

Let height of the tree =h

The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.

So, according to the propoties of the similar triangle

a₁/a₂=b₁/b₂

h/x=2m/75cm

⇒h/13=2/(3/4)

⇒h/13=2*4/3=8/3

⇒h=8*13/3=34.666≅34.7m

Therefore tree is 34.7m tall.

Learn more about similar triangle

here: https://brainly.com/question/2644832

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im givin away points to anyone even people who just want points just somebody pls answer dis question <3 : Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?

8 × 9.82

Answers

Answer:

1.80

2.Overestimate.

Step-by-step explanation:

Answer:

Sorry I'm late

Step-by-step explanation:







Tickets at an amusement park are $25 for children and $45 for adults, the Jones family has 4200 cash
and they have two children, what is the maximum amount of adult tickets they can purchase?

Answers

Step-by-step explanation:

$4200 - $50

= $4150

4150 divided by 45 = 92.222.......

92.222 is approximately 93

So you can purchase 92/93 tickets in total

Since tickets are physical things, I dont think you can approximate it but that's my answer

The maximum amount of adult tickets they can purchase are 92.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.

Assume that they could purchase [n] number of adult tickets.

Cash remaining for adult tickets = 4200 - 2(25)

The total number of adult tickets that can be buyed are calculated as follows -

45n = 4200 - 2(25)

45n = 4200 - 50

45n = 4150

n = 4150/45

n = 92 (exact value)

Therefore, the maximum amount of adult tickets they can purchase are 92.

To solve more questions on Equation Modelling, visit the link below -

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How would -9-(-5) look like as an addition problem?

Answers

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

Answer:

-9 + 5

Step-by-step explanation:

If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5

hey help quick...please

Answers

Hope to help you, have a good day!

Answer:

A

Step-by-step explanation:

2Red                                            6 Blue Balls

+4Yellow                                  

= 6 balls    

6+4=210
9+2=711
8+5=313
3+2=15
8+3=??

Answers

Answer:

11

Step-by-step explanation:

Paco grew 12 plants with 4 seeds packets. How many seeds packets does Paco need to have a total of 18 plants in his backyard? Solve using unit rates.

Answers

Answer:   72

Step-by-step explanation:  i multiplied 18 and 4 and that gave me 72

hopefully im not wrong let me know if i am

Answer:

5 and half packet of seeds or 5.5 which is 6 packets

Step-by-step explanation:

12 / 4 = 3

he can plant 3 plants with 1 seed packet

which means he needs 5 packets and half

the answer is 6

Who wants to smash some COD 1 on a ps3 in the morning

Answers

Answer:

Step-by-step explanation:

Meeee

solve 2x-4y=10 and x+5y=40

Answers

Answer:

y = 1/2x + 2.5 and y = -1/5x + 8

Step-by-step explanation:

2x - 4y = 10 (subtract 2x on each side)

-4y = -2x + 10 ( divide by - 4 on both sides)

y = 1/2x + 2.5

x + 5y = 40 (subtract x on both sides)

5y = -x + 40 (divide by 5 on both sides)

y = -1/5x + 8

Hope this helped!!

What are the coordinates of the ordered pair (1, 3) after reflecting over x-
axis, translating right 3 and down 2? *

Answers

Answer:

(-4,1)

Step-by-step explanation:

change the sign of the x value to a negative

(-1,3)

add 3 to the x value since it's horizontal

(-4.3)

subtract 2 from the y value, since it's vertical

(-4,1)

hope this helps.

What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please

Answers

Answer:

Step-by-step explanation:

1+2/3m+2=2+1/6

We move all terms to the left:

1+2/3m+2-(2+1/6)=0

Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R

We add all the numbers together, and all the variables

2/3m+1+2-(1/6+2)=0

We add all the numbers together, and all the variables

2/3m+3-(1/6+2)=0

We get rid of parentheses

2/3m+3-2-1/6=0

We calculate fractions

There is no solution for this equation

   

   

Answer: m = 1/10

Step-by-step explanation:

1 2/3m + 2 = 2 1/6

Firstly, subtract 2 from both sides to get m alone:

1 2/3m = 1/6

Now, to get m alone, divide both sides by 1 2/3:

m = 1/10

Hope this helps!

PLEASE HELP!!!

Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represents the change Tony has in his car?

Answers

Answer:

I'd assume the last one but I don't know exactly what the graph is measuring

represent in number line
1/5 and 2/5

Answers

I’m not sure if I’m right but here’s my answer:

See picture for math work and answer.

Find the slope for each pair of points (1,2), (4,3)
HELP plzz

Answers

Answer:

slope is 1

Step-by-step explanation:

Hope this helps

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to

Answers

Given that,

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

For peanut, the cost is ratio is

[tex]\dfrac{5}{3}[/tex]

For beef, the ratio is

[tex]\dfrac{7}{4.2}[/tex]

If we take cross product of these items,

[tex]\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21[/tex]

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.

Answer:

21

Step-by-step explanation:

use the graph to answer the following question. For what values of x does f(x)=4​

Answers

0,4

is where it would land and you can

A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is given by the equation. c = 50 + 0.40m, where m represents the miles driven. When Mr. Sims rented a car, his total charge was $178.00. How many miles did Mr. Sims drive the car? *

Answers

Answer:

Mr. Sims drove 320 miles.

Step-by-step explanation:

c = 50 + 0.40m

178 = 50 + 0.40m

128 = 0.40m

m = 320

Two numbers that are the same distance from zero on a number line are called ___ numbers

Answers

Answer:

They are called opposites.

Step-by-step explanation:

"Zero is called the origin, and it's neither negative nor positive. For every positive integer, there's a negative integer an equal distance from the origin. Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, negative 5 is the opposite of positive 5."

-Google

Hope this helps :)

· Jim put a fence around a rectangular area. A scale drawing of the area
has a length of 3.5 inches and width of 2.5 inches. If the scale of the
drawing is 1 inch = 5 feet, what is the actual perimeter of the fenced
area?

Answers

Answer: 73 feet

Step-by-step explanation:

1inch =5feet

L=3.5 inches W=2.5 inches

P= L1+L2+W1+W2

L=3.5(5) =17.5

W= 2.5(5) = 12.5

17.5+ 17.5 +12.5+ 12.5= 73 feet


Find the x- and y-intercepts :

Y= 3x + 9

Answers:

y = -3 and x = 9

y = 9 and x= -3

Which one should I choose?


Answers

Answer:

(y= -3 and x = 9)

Step-by-step explanation:

For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.

y=9 and x=-3 is the right choice

A truck can be rented from company A for $120 a day plus $0.50 per mile. Company b chargers $80 a day plus $0.70 per mile to rent the same truck. Part A write a equation. To find the number of miles in a day at which the rental costs for company A and company B are the same Part b solve the equation

Answers

Answer:

Part A: [tex].50x+120 = .70x+80[/tex]

Part B: [tex]200[/tex] miles

Step-by-step explanation:

So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex]  where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.

Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]

Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]

Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.

Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]

Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.

To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get  [tex]-.20x+120=80[/tex]

Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]

Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]

This means that at [tex]200[/tex] miles, both companies will cost the same amount.

CAN SOMEONE PLEASE HELP ME IF YOU CAN

Answers

Answer: 6x^2+3x

Step-by-step explanation:

Solve for r:
6r-12=-30

Answers

Answer:

r=-3

Step-by-step explanation:

the first step in this equation is to isolate 6r,to do this you got to add 12 to -30 which you get -18 which gives the equation 6r=-18 which now you got to divide both sides by 6 which you should get r=-3

Answer:

r=-3

Step-by-step explanation:

add 12 to -30 you get -18 divide -18 by 6 and you get -3

help i need an answer asap

Answers

Answer:

The answer is 3.7

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