(X^2+3x)^6/5 - x^3 = 4

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

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

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

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

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

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

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

6 0

3 years ago

What is the volume of the can below? Use 3.14 and round your answer to the nearest tenth.

Mamont248 [21]

Answer:

328,268.16

Step-by-step explanation:

3.14r^2h

3.14(33)(33)(96)

= 328,268.16

4 0

3 years ago

Read 2 more answers

Please help me with this

Ivan

800/560
10/7

Your answer is 1 3/7 pounds per dollar

hope it helps

6 0

3 years ago

Read 2 more answers

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in target

bulgar [2K]

Answer:

1 - If method I is used, population of generalization will include all those people who may have varying exercising habits or routines. They may or may not have a regular excersing habit. In his case sample is taken from a more diverse population

2 - Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

Past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

7 0

3 years ago

HURRY PLEASEE!!!! Alexandria planted a rose bush that was 26 inches tall several years ago. The rose bush has grown at a race of

liq [111]

Number of years since rose bush was planted

5 0

3 years ago