The graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?

The Graphs Below Have The Same Shape. What Is The Equation Of The Redgraph?F(x) =A. F(x) = (2 - X)B.

Answers

Answer 1
D. F(x)=2-x^2 i know for sure because it opens downward is on the 2 of the y axis
Answer 2

The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

What is the general equation of parabola?

The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].

Where,

(h, k) are the vertices of the parabola.

According to the given question.

We have two graph.

The blue and red graph both represents the equation of downward parabola.

Since, blue graph represents the equation of downward parabola.

Whose equation is given

[tex]G(x) = 5 - x^{2}..(i)[/tex]

The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]

Where, (h, k) are the vertices of the parabola.

Compare the equation (i) with (ii)

We get

(h, k) = (0, 5) and a = -1.

Now, the red graph which also represents the downward parabola whose vertices are (0, 2)

Therefore, the equation red graph is given by

[tex]F(x) = a(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = 2 - x^{2}[/tex]

Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

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Related Questions

Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)

Answers

Answer:

second option , third option and last option

Step-by-step explanation:

3x - 12 - 2(x + 12)

=3x - 12 -2x - 24

=x - 36

I believe the 2 or 3 one

Factorx^2 + x - 6, asappp

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

i need help asap Please ​

Answers

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?

Answers

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

1. Convert the quinary number 42 into binary number.​

Answers

Answer:

42 in binary number is 101010.

state wether the product of √3 and √9 is rational or irrational. explain your answer​

Answers

√9 is rational and √3 irrational number

Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared

Answers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.

Answers

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?

Answers

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.

Answers

Answer:

First Term = 6

Common Ratio = 3

Step-by-step explanation:

According to the Question,

Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .

Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .

The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .

Now, on solving  [tex]\frac{S_{8} }{S_{4} }[/tex]  we get,

[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]  

[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]

[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )

So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .

NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12

Answers

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.

Answers

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

given log base3 4 = log base 1/27 k , find the value of k .​

Answers

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

Simplify by factorising first

Answers

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take

Answers

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

can someone help me please

Answers

Perimeter: 45ft
Area: 24cm^2

Hope this helped!! :) xxoo Have a nice day!

Answer:

8. B

9. B

Step-by-step explanation:

add all sides to get perimeter

multiply sections of the area to get area (length times width)

1/2-1/4 is equal to ​

Answers

Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...

don't mind the purple dot ​

Answers

Answer:

option A

Step-by-step explanation:

22 : 15 + 10hours = 8 : 15

                              8 : 15 + 35 minutes = 8 : 50

Therefore the difference = 10 hours 35 minutes

PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]

Answers

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

Please help me with these three questions...
I will be really thankful for help​

Answers

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.

Answers

Answer:

what do you need help with?

Step-by-step explanation:

WILL MARK BRANLIEST
When describing a rotation, what
information must you include?

Answers

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Find the surface area and the volume of the figure
Round to the nearest tenth if needed.

Answers

Answer:

See below

Step-by-step explanation:

Surface area:

S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)

Volume:

V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .

Hi guys pls answer this it’s easy tbh

Answers

365 that’s the answer

Answer:

this is the accurate answer of your questions

Which region represents the solution to the given system of inequalities?

{y < -1/2x }
[y ≥ 2x+3 }

A
B
C
D

Answers

The region D represents the solution of the given system of inequalities.

What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables.

How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or  y< " line.Shade above the line for a " greater then" and below for the "less than".

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

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mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?

Answers

The amount would be 2,250.

The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)

Answers

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

hELPpppPpPP pLEAaSSEEseE

Answers

It’s easy don’t make it complicated on yourself

Volume = LxWxH = (xy)^3 = x^3y^3
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