Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?​

Answers

Answer 1

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2


Related Questions

Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?

Answers

Answer:

24

Step-by-step explanation:

4x6=12or 2x6=12so then 12+12=24

Answer:

6 songs per hour, so multiply that with the number asked which is four

so four times six is24

so she can play 24 songs in four hours!

~ ...

~ !

~ !

Find Y if f(x)=g(x),please help me to answer this problem.

Answers

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

[tex]y_{1}[/tex] = - 4

[tex]y_{2}[/tex] = - 1.5

For questions 3 - 6, find F'(x), the inverse of F(x).

3. F(x) = x-10

4. F (x) = x/6 + 3

5. F(x) = 3x + 7

6. F(x) = 8x

Answers

Answer:

3)  f'(x) = x + 10

4)  f'(x) = 6x - 18

5)  [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]

6)  f'(x) = ⅛x  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]  

Step-by-step explanation:

3. f(x) = x - 10

Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.  

y = x - 10

Step 2:  Switch x and y:

x = y - 10

Step 3: Add 10 to both sides to isolate y:

x + 10 = y - 10 + 10

x + 10 = y

Step 4: Replace y with f'(x):

f'(x) = x + 10  ⇒ This is the inverse function of f(x).

4.  [tex]\displaystyle\mathsf{f(x)=\:\frac{x}{6}\:+\:3}[/tex]

Replace f(x) with y:

[tex]\displaystyle\mathsf{y=\:\frac{x}{6}\:+\:3}[/tex]

Switch x and y:

[tex]\displaystyle\mathsf{x=\:\frac{y}{6}\:+\:3}[/tex]

Subtract 3 from both sides:

[tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}\:+\:3-3}[/tex][tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}}[/tex]

Multiply both sides by 6 to isolate y:

[tex]\displaystyle\mathsf{6(x-3)=\:\frac{y}{6}(6)}[/tex]

6x - 18 = y

Replace y with f'(x):

f'(x) = 6x - 18  ⇒ This is the inverse function of f(x).

5. f(x) = 3x + 7

Replace f(x) with y:

y = 3x + 7

Switch x and y:

x = 3y + 7

Subtract 7 from both sides:

x - 7 = 3y + 7 - 7

x - 7 = 3y

Multiply both sides by :

⅓(x - 7) = 3y (⅓)

[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]

Replace y with f'(x):

[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex]  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]   ⇒ This is the inverse function of f(x).

6. f(x) = 8x

Replace f(x) with y:

y = 8x

Switch x and y:

x = 8y

Multiply both sides by :

⅛(x) = ⅛(8y)

⅛x = y or  [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]  

Replace y with f'(x):

f'(x) = ⅛x  or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]   ⇒ This is the inverse function of f(x).

How do I do i’m not sure

Answers

[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]

Evaluate - (3 ^ - 5) * (3 ^ 3)

Answers

Answer:

1 / 3^2 = 1/9

Step-by-step explanation:

3^-5 = 1/3^5

(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2

The value of the given expression is 1/9 .

Given,

[tex](3^{-5}) (3^{3} )[/tex]

According to the power rule,

[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]

Now,

[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]

[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]

[tex](3^{-5}) (3^{2} ) = 1/9[/tex]

Thus with the power rule answer will be 1/9.

Learn more about power rule,

https://brainly.com/question/23418174

#SPJ6

A small town has two local high schools. High School A currently has 250 students and is projected to grow by 50 students each year. High School B currently has 450 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Graph each function and determine after how many years, t, the number of students in both high schools would be the same.

give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
students
students per year
years
years of student

Answers

Answer:

in 8 years both school will have 650 students

Step-by-step explanation:

HS A (t) = 250+50t

HSB (t) = 450+25t

250 + 50t = 450 + 25t

25t=200

t=8

in 8 years

to graph this:

HSA points (0,250) (2, 350) (4, 450) (8, 650)(10, 750)

HSB points (0, 450) ( 2, 500) (4, 550) (8, 650) (10, 700)

when you graph then you will notice they intercept at 8, which gives you 650 students

please help me i really need it and NOOOO BOTS

Answers

D is the only answer is could be
The answer is clearly D

Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)

Answers

Answer:

0.014

Step-by-step explanation:

Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation

Answer:

Knewton as of May 15, 2022 8.70%

Step-by-step explanation:

Will give brainliest

Answers

Answer:

down - up +

Step-by-step explanation:

If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years

Answers

The answer is $2,432. I hope this is correct:) sorry if it isn’t

Answer:

i think it would round to 4031.08

Step-by-step explanation:

3200.00 * 1.08^3

=4032.0784

What is the value of 1027


A. 100

B. 1,000

C. 10,000

D. 100,000

Answers

Answer:

huh? this doesn't even make sense or I'm just tripib

Step-by-step explanation:

-xoxo

what is equation of the line shown in this graph

Answers

Since this is a horizontal line, the equation for this is simply

[tex]y = -3[/tex]

When you have > or <, the solutions are only in the shaded area.
True
or
False

Answers

Answer: True

Step-by-step explanation: Because the solutions can not land on the dotted lines.

the answer would be true

Can anybody answer this for me?

Answers

[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]

Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me

Answers

128 pi

To find the area of a cylinder, we multiply the area of the base times it’s height. For a cylinder the base is a circle so we use
pi r^2 to find it. In this problem the radius or r = 4 so the area of the base equals 16 pi. The height is 8. So we multiply these two to get the answer of 128 pi

you’ll live 100 more years if you help me answer 1 through 5 :D!!!

Answers

Answer:

You need to give me a thanks and brainliest: 1. = 16 ; 2. = 100 ; 3. = 64; 4. = 604; 5. Cant see the problem in the screen shot.

Step-by-step explanation:

how long is the shadow the tree casts?

Answers

Anwser: 12 feet long

A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?

Answers

50 x 30 x 20 = 30000 cm cubed
There are 1000 cm cubes in one litre
30000/1000 = 30 litres
So 300 x 30
9000 taka

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

nesesito ayuda ..........4c`````````````````````````````````````````````````````z#DRsw

Answers

Answer: ???

Step-by-step explanation:

5^-x = 6
Help ASAP
STEPS MUST.​

Answers

We have to Find:

The value of x

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

Take Logarithm of both sides

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

Solving Further

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

Take the minus from (-x) and put in on log(6)

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done

Precalc please help!!

Answers

Answer:

Step-by-step explanation:

x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10

Answers

Answer:

The quotient is 10x+16

The remainder is 28x^2+10x+22

ROUND OF THE UNDERLINED DIGIT IN EACH DICEMAL NUMBER

1. 25.5678
2.0.8974
3.12.9542​

Answers

Answer:

I think 25.5678

it's the correct answer

Step-by-step explanation:

gamsahamnida

Latonya swims 50 meters in 1/2 minute. What is the slope

Answers

Answer: 100

Step-by-step explanation: 50 x 1/2=100

100 POINTS! show work or i report!

Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?

Answers

Answer:

$4,720

Step-by-step explanation:

$4,000 fridge

$120/1 year

[tex]\frac{120}{1} = \frac{x}{6}[/tex]

120 * 6 = 720

720 / 1 = 720

$720 for 6 years

720 + 4,000 = 4,720

$4,720

Answer:

$4,720

Step-by-step explanation:

the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter

Answers

Answer:

4,600

Step-by-step explanation:

1,200+1,200+1,100+1,100

Let’s say the house is a perfect rectangle. Then you would take all 4 sides and add them to find the perimeter. 1,200+1,100+1,200+1,100. Rectangles have 2 parallel sides, so the length and the width would be the same for both sides. The answer is 4,600 feet.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

f^-1(x) = [ln (x + 4)]/2

Step-by-step explanation:

f(x) = e^(2x) - 4

y = e^(2x) - 4

x = e^(2y) - 4

x + 4 = e^(2y)

ln (x + 4) = ln (e^(2y))

ln (x + 4) = 2y

y = [ln (x + 4)]/2

f^-1(x) = [ln (x + 4)]/2

Convert to an exponential equation.
In 17 = 2.8332

Answers

Answer:

17 = e^2.8332

Step-by-step explanation:

A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.

Answers

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?

Answers

Answer: 8 Quarters, 20 Dimes

Quarters:

Current/ 13

13x25= 3.25

Dimes:

Current/ 5

5x10= 50 …. 50 cents

Current price: $3.75

Need $4.00

What you need:

Quarters: +8

4 = 100 x2 is 200 …. $2.00

Dimes: + 20

10 = 100 x2 is 200 … $2.00

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