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Dima020 [189]
3 years ago
9

The changing speed of a car is modeled by the function S(t) = −35t + 30, where t is time in seconds. Interpret the model

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

The car has an initial speed of 30 units and is slowing down by 35 units per second ⇒ answer C

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

  • m is the rat of change
  • b is the initial value

The changing speed of a car is modeled by the function s(t) = -35t + 30, where t is time in seconds.

We need to interpret the model

∵ The changing speed of a car is modeled by s(t) = -35t + 30

- Compare between the model and the form of the linear function

∴ m = -35 and b = 30

∴ The initial speed is 30 units

∴ The speed is changing by -35 units per second

- If the value of change of the speed is negative, means the

  car is slowing down by this rate

∴ The car is slowing down by 35 units per second

The car has an initial speed of 30 units and is slowing down by 35 units per second

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

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What is the solution to the compound inequality in interval notation?
ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2.  That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞).  The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0
1 year ago
Which expression simplifies to 41? Choose all that apply!
Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

10+ 2.4 - 1=10+8-1

Now we have to solve the addition and subtraction from left to right:

10+8-1=18-1=17\neq 41

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

10+2.(4-1)=10+2.(3)

Now the multiplication and then the addition.

10+2.(3)=10+6=16\neq 41

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

(10+23).4-1=(33).4-1

Now the multiplication and then the subtraction:

(33).4-1=132-1=131\neq 41

This is not a correct option.

4. 10+(2^2.4)-1

We have to solve the parentheses first, in the parenthesis first we have to solve: 2^2 and then do the multiplication.

10+(2^2.4)-1=10+(4.4)-1=10+16-1

Now we have to solve the addition and subtraction from left to right:

10+16-1=26-1=25\neq 41

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0
3 years ago
Find the volume of a regular box with dimensions 7" × 12" × 4".
Iteru [2.4K]

336" - You are to times all of them together to get your answer. Dont forget to put the inches.

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3 years ago
How would adding a score of zero to this data affect the mean and medium game scores
Diano4ka-milaya [45]

It wouldn't affect the mean or the median.

8 0
3 years ago
Find the future value of an ordinary annuity of $80 paid quarterly for 2 years if the interest rate is 7 % compounded quarterly
Neko [114]

Answer:

70

Step-by-step explanation:

4 0
3 years ago
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