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3 years ago

7

the faster a vehicle is going, the further it will continue to travel after the brakes are applied. Which is the independent var

iable in this situation?

1 answer:

nevsk [136]3 years ago

3 0

I believe that the answer is speed in this situation but I'm not 100% sure

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A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept<br> form.

trapecia [35]

Answer: y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Step-by-step explanation:

Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.

We are given the slope, so we will plug this in.

y = <em>m</em>x + <em>b</em>

y = ( $\frac{1}{4}$ )x + <em>b</em>

<em />

Now, we will solve for the y-intercept by plugging in the point they give us.

y = ( $\frac{1}{4}$ )x + <em>b</em>

(-2) = ( $\frac{1}{4}$ )(5) + <em>b</em>

-2 = 1.25 + <em>b</em>

-3 $\frac{1}{4}$ = <em>b</em>

<em />

Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

<em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>

<em>brainly.com/question/13874293</em>

4 0

2 years ago

Read 2 more answers

Translate the sentence and solve: "4 is 2 less than double a number".

Elanso [62]

Answer: x = 3

Step-by-step explanation:

you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.

3 x 2 = 6

and 2 less than 6 is 4 so theres your answer :)

4 0

3 years ago

The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt

drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

$p=10/2900\approx0.00345$

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

$E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65$

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

8 0

3 years ago

Juan's pit crew was able to get his car back onto the racetrack 0.4 seconds faster than Paul's crew. Paul's crew took 1.3 second

9966 [12]

Answer:

6.7 seconds

Step-by-step explanation:

Juan= Paul-0.4

Paul=Terry+1.3

We can substitute Terry+1.3 for Paul since they are equal

juan=(Terry-0.4)+1.3

terry=5.8

juan=(5.8-0.4)+1.3

juan=6.7

4 0

3 years ago

The solution to a quadric equation are x=2 and x=7. If k is a nonzero constant which of the following must be equal to the quadr

nikklg [1K]

Answer:

The quadratic equation form is x² - 9 x + 14 = 0

Step-by-step explanation:

Given in the question as ,

The solution of quadratic equation are x = 2 and x = 7

The constant K is a non-zero number

Now , let the quadratic equation be , ax² + bx + c = 0

And sum of roots = $\frac{ - b}{a}$

product of roots = $\frac{c}{a}$

So, 2 + 7 = $\frac{ - b}{a}$

Or, 2 × 7 = $\frac{c}{a}$

I.e $\frac{ - b}{a}$ = 9 , $\frac{c}{a}$ = 14

Or, b = - 9 a And c = 14 a

Put this value of b and c in standard form of quadratic equation

I.e ax² + bx + c = 0

Or, ax² - 9 ax + 14 a = 0

Or , a ( x² - 9 x + 14 ) = 0

∴ a = 0 And x² - 9 x + 14 = 0

Hence , The quadratic equation form is x² - 9 x + 14 = 0 Answer

7 0

3 years ago