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3 years ago

Write the slope intercept form of the equation of the line through the given point

Mathematics

1 answer:

ozzi3 years ago

8 0

Answer:

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

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = $-\frac{3}{4}$ , point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 = $-\frac{3}{4}$ (4) + b

Solve for b:

-3 = $-\frac{3}{4}$ (4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y = $-\frac{3}{4}$ x + 0

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

The equation written in slope-intercept form is: y = $-\frac{3}{4}$ x

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Solve for t. d=−16t^2 +4t

AleksAgata [21]

Answer:

C option is correct.

t = 8 +- √ 1− 4 d

Step-by-step explanation:

d=−16t^2 +4t

t= (1+ √ 1− 4 d) / 8

t = (1 − √ 1 − 4 d ) / 8

3 0

2 years ago

Hilida spent 47$ and know has no money left she had blink before her purchase

Bas_tet [7]

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

8 0

3 years ago

Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 an

irakobra [83]

Answer:

Letter B matches the probability.

Step-by-step explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 = $\frac{\text{Favorable outcome}}{\text{Number of events}}$

= $\frac{1}{6}$

On a number line fraction $\frac{1}{6}$ can be represented by,

An small section (A to B) will represent the fraction = $\frac{1}{6}$

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.

4 0

2 years ago

A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. The

solniwko [45]

Answer:

f(x) = 26500 * (0.925)^x

It will take 7 years

Step-by-step explanation:

A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.

To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.

4 0

3 years ago

Between which two numbers does 46 lie?

34kurt

Answer:

So the sqrt(46) is between 6 and 7

Step-by-step explanation:

sqrt(46)

5*5 = 25

6*6=36

7*7=49

So the sqrt(46) is between 6 and 7

6 0

2 years ago