All categories

2 years ago

I need to sketch a graph for each line. y = 4x-5 How would I solve and graph this

1 answer:

4 0

So you need to find the slope and the y- intercept. So, the slope is always the coefficient on the x. In this case it is 4. The y-intercept is the other number. In this case it is -5. So the slope is 4 and the y-intercept is -5. On your graph (the y axis) find -5. Then you go up 4 and to the right 1 because of four were a fraction it would be 4/1. Keep going up four and right one a couple times. Then reverse it. Go down 4 left 1. That as a fraction would look like -4/-1. Then connect your points and make it a line!

You might be interested in

The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room

tangare [24]

I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
$A = lw\\
600 = (x+5)(x+4)\\
600 = x^{2} + 9x + 20
$

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
$600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20$

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).

8 0

3 years ago

Read 2 more answers

A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B =

Oduvanchick [21]

Answer: $\frac{11}{75}$

Step-by-step explanation:

R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a $\frac{22}{150}$ chance of getting a red jelly bean.

Simplified that is $\frac{11}{75}$

8 0

3 years ago

Ralph is an electrictian.he charges an initial fee of $32 plus $33 per hour. If Ralph earned $189 on a Job,how long did The Job

aleksley [76]

Answer:

5 hours

Step-by-step explanation:

189-32=157

157/33 is about 4.76

4.76 rounded is 5 so the job took 5 hours

6 0

2 years ago

Complete parts (a) through (c) below.

Yuki888 [10]

Answer:

a) $t_{crit}= 1.34$

b) $t_{crit}=-2.539$

c) $t_{crit}=\pm 2.228$

Step-by-step explanation:

Part a

The significance level given is $\alpha=0.1$ and the degrees of freedom are given by:

$df = n-1= 15$

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

$t_{crit}= 1.34$

Part b

The significance level given is $\alpha=0.01$ and the degrees of freedom are given by:

$df = n-1= 20-1=19$

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

$t_{crit}=-2.539$

Part c

The significance level given is $\alpha=0.05$ and $\alpha/2 =0.025$ and the degrees of freedom are given by:

$df = n-1= 11-1=10$

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

$t_{crit}=\pm 2.228$

4 0

2 years ago

What is the x-coordinate of point P on the coordinate grid?

grin007 [14]

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

5 0

3 years ago