Graph this function y=x+3

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).

kari74 [83]

To get your answer, you will need to find the perpendicular slope for -1/3x which is just the opposite therefore it will be 3x. Your slope is 3x as perpendicular so use this slope to do point slope. Y-1=3(x-2). Distribute y-1=3x-6. Add 1 to both sides. (-1+1) (-6+1)=-5. So your equation in slope intercept form is y=3x-5. Going through the two points.

Hope this helps!

3 0

2 years ago

What is y=4x^2-9x+1 in vertex form

Anna11 [10]

Answer:

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

Step-by-step explanation:

$y = 4x^2 - 9x + 1$

You need to complete the square on the right side.

$y = (4x^2 - 9x) + 1$

$y = 4(x^2 - \dfrac{9}{4}x) + 1$

$y = 4 \left( x^2 - \dfrac{9}{4}x + \left( \dfrac{9}{8} \right)^2 \right) + 1 - 4\left( \dfrac{9}{8} \right)^2$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + \dfrac{16}{16} - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

3 0

2 years ago

Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way

Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student $=^{10}C_1=\frac{10!}{1!9!}=10\\$

Now left student = 10 -1 = 9

So number of ways to assigned double student $=^{9}C_2=\frac{9!}{2!7!}=36$

Now left student = 9-2 = 7

So number of ways to assigned triple student $=^{7}C_3=\frac{7!}{2!4!}=$ =70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student $=^{4}C_4=\frac{4!}{4!0!}=1$

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0

2 years ago

A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e

Tatiana [17]

Find out how much you need for one person then multiply by 18 is one way you could do this..

4 divided by 24 = 0.166666666666667 x 18 = 3 litres of lemon-lime soda.

2 divided by 24 = 0.083333333333333 x 18 = 1.5 pints of servet

6 divided by 24 = 0.25 x 18 = 4.5 cups of ice.

Hope this helps!
Your teacher may have wanted you to (some how) use your 6x tables to work this out?!

8 0

3 years ago

Read 2 more answers

Describe some real-world situations that remind you of the coordinate plane.

Sloan [31]

Answer:

-The latitude and longitude lines on maps of the Earth

-Planning where to place different pieces of furniture in a room

4 0

2 years ago

Graph this function y=x+3​

Graph this function y=x+3