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What is the rate of change and initial value for the linear relation that includes the points shown on the table?
X Y
1 20
3 10
5 0
7 -10
A. Initial value: 20, rate of change:10
B. Initial Value: 30, rate of change:10
C. Initial Value: 25, rate of change: -5
D.Initial value: 20, rate of change: -10

Answer:

The answer is c.

Step-by-step explanation:

This is because the slope is a negative, and since letter a, has a positive slope, it's out of the picture. Just by the looks of b, you can tell that the why intercept isn't 5. It looks like its y-intercept is 0. Letter d, also doesn't have a positive y-intercept so it's also out of the picture. Which leaves letter c. It has a positive slope and it looks like it has 5 as a y-intercept.

Answer:

The y-intercept is y = 80feet. The initial height of the balloon is 80feet.

Step-by-step explanation:

[tex]h(x)=-16x^2+64x+80[/tex]

The y-intercept of the function happens when the x-value = 0. So let's plugin x=0 into the function:

[tex]h(x)=-16x^2+64x+80\\h(x)=-16(0)^2+64(0)+80\\h(x)=80[/tex]

The y-intercept is y = 80feet

x represents the number of hours after starting its ascent from the hill, so x = 0hr means when the balloon is just starting to ascent. At the start of the ascent, the balloon has an altitude of 80feet. The initial height of the balloon is 80feet.

The y-intercept is y = 80feet.

The initial height of the balloon is 80feet.

Since the equation is [tex]h(x)=-16x^2+64x+80[/tex]

So here x = 0

So

[tex]h(x)=-16(0)^2+64(0)+80[/tex]

= 80

Here, The y-intercept is y = 80feet

Also,

x means the number of hours after starting its ascent from the hill

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Given that if x = 7 and y = 4, the value of x + 2y = 15

Given the following:

x = 7

y = 4

Required:

Find the value of x + 2y.

Therefore, substitute x = 7 and y = 4 into the algebraic expression, x + 2y.

(7) + 2(4) = 7 + 8

x + 2y = 15

Therefore, given that if x = 7 and y = 4, the value of x + 2y = 15

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Given that,

A car uses a litre of petrol to travel 4 km.

To find,

How many litres will it use to travel 32 kilometres.

Solution,

We have,

1 litre = 4 km

or

1 km = (1/4) litre

Let it will use x litres to travel 32 km.

32 km = (32/4) litres

= 8 litres

Hence, 8 litres it will use to travel 32 km.

Answer:

[tex]\sqrt{13}[/tex] = 3.6

Step-by-step explanation:

to find the magnitude of a vector the equation is

|v| = [tex]\sqrt{x component ^{2} + y component^{2} }[/tex]

v = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Answer:

Step-by-step explanation:

Component form : (3 , -2)

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

                  [tex]= \sqrt{9+4}\\\\= \sqrt{13}[/tex]

n + 5 = 4 + 4

n + 5 = 8

n = 3

-- the answer is the third choice.

Answer:

10 games

Step-by-step explanation:

The team can expect to win 6 matches.

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, The ratio of wins to losses for the spartan football team is 3:5. and this trend continues, they play a total of 16 games,

Let they won 3k games and loose 5k games.

Then,

3k+5k = 16

8k = 16

k = 2

Therefore, they lose 5·2 = 10 matches and won 3·2 = 6 matches.

Hence, the team can expect to win 6 matches.

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Answer:

20.27

Step-by-step explanation:

Answer:

20.27

Step-by-step explanation:

Answer:

I believe your asking for the ratio of dogs to cats. Your ratio would be 6:1 and your ratio for cats to dogs is 1:6 Hope it helps.

Answer:

false false true false ez

Answer:

y = -x + 9

Step-by-step explanation:

Since the line is going down, you can safely assume that it is a negative slope function.  The y-intercept is at (0, 9), so your final slope function should be y = -x + 9.

Answer:

3.00+0.22m=8.75

Step-by-step explanation:

Answer:

zero times

Step-by-step explanation:

9-9=0

Answer:

15

Step-by-step explanation:

√15 (3√5)^2 3√5^2 3√10

Step-by-step explanation:

No of days in 1 week = 7

No. of days starting with T letter = 2

Now

Fraction of the days starting with the letter T

= 2 / 7

Hope it will help :)

Answer:

−31π/36 = -15.5°

Step-by-step explanation:

We need to convert −31π/36 to degrees.

The conversion from radian to degrees is calculated as follows :

[tex]\text{Degrees}=\dfrac{180}{\pi }\times \text{radian}\\\\=\dfrac{180}{\pi}\times \dfrac{-31\pi }{360}\\\\=-15.5^{\circ}[/tex]

So, −31π/36 is equal to -15.5 degrees.

Answer:

x2 – x + 4

Step-by-step explanation:

Just took the test on edg

Answer:

Step-by-step explanation:

d is correct

The respective unit rates are 6,9,7

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: Cam 1 clicks 30 pics in 5 secs

∴ Unit rate of Cam 1= 30/5

                                  =6 pics/sec

Similarly we can find

Unit rate of Cam 2=9 pics/sec

Unit rate of Cam  3= 7 pics/sec

Hence, The respective unit rates are 6,9,7

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Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

Answer:

ask again

Step-by-step explanation:

The number of students taken only one course is 106

A Venn diagram exists as an illustration that utilizes circles to illustrate the relationships among things or finite groups of things. Circles that overlap include a commonality while circles that do not overlap do not share those traits. Venn diagrams permit visually illustrating the similarities and contrasts between two concepts.

Let M =sets of students who had taken mathematics

     C= sets of students who had taken chemistry

     P= represent sets of students who had taken physics

From the given information, we have

n(M) = 64 , n(C) = 94, n(P) = 58,

n(MnP) = 28, n(MnC) = 26, n(CnP) = 22

n(MnCnP) = 14​​​​​​​

No. of students who had taken only Math :

= n(M) - [n(MnP) + n(MnC) - n(MnCnP)]

= 64 - [28+26-14]

= 64 - 40

= 24​​​​​​​

No. of students who had taken only Chemistry

= n(C) - [n(MnC) + n(CnP) - n(MnCnP)]

= 94 - [26+22-14]

= 94 - 34

= 60

No. of students who had taken only Physics

= n(P) - [n(MnP) + n(CnP) - n(MnCnP)]

= 58 - [28+22-14]

= 58 - 36

= 22

Total no. of students who had taken only one course

= 24 + 60 + 22

= 106

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Answer: 100 ft

Step-by-step explanation:

Answer:

D: route 4

Step-by-step explanation:

route 4 is 1 hour and 15 minutes while every other is greater than 1 hour and 15 mins

Answer:

Route 4

it will take 1 hr 15 min

Step-by-step explanation:

Answer:

$48.22

Step-by-step explanation:

I'm pretty sure you just multiply the 1627.4 by 3%

1627.40*.03=48.822 = $48.22

Answer:

7

Step-by-step explanation:

I just need to type more or my answer gets auto delete but yeah it is 7