The function f is defined by f(X)=x^2-6x+21

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

2 years ago

Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey S

nikitadnepr [17]

13h\] p9.l6ewo8hi9kt85hu7g5yftgrftgy5h6uj7io909ikju6hygtrfefgthu6iko9iuj6hygtrfed

3 0

2 years ago

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0

3 years ago

Please help me this is urgent.!

nata0808 [166]

V= 3.14• 5^2•4
V= 3.14 •25•4
V= 78.5•4
V=314

Sorry I couldn’t give a more detailed explanation but here is the original equation for volume of a cylinder:

V=πr2h

Hope this helps comment below for more questions :)

3 0

3 years ago

Read 2 more answers

An online video game site charges a $10 membership fee and a $6 monthly cost. Another game site charges $6 membership and a $8 m

Romashka [77]

Answer:

SO... whats the actual question?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers