Answer:
(1) 2 (2) (-1/2,0) (3) (0,1)
Step-by-step explanation:
The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.
Jonna can make 12 servings because 1/4 plus 1/2 equals 3/4 which is equal to 12/16.
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
1) The variable is x
2)
Solving the inequality we get x>34
3)
, solving the inequality we get b>10.2
Step-by-step explanation:
1. Define the variable:
The variable is x
2) Trini needs more than 51 cubic feet of soil to top up his raised garden. Each bag of soil contains 1.5 cubic feet. Write and solve an inequality to find how many bags of soil Trini needs.

Solving the inequality

Solving the inequality we get x>34
3) Write the inequality:
5 times b greater than 51

4) Solving the inequality

So, solving the inequality we get b>10.2
X^2+7x-7x-49
Simplified = x^2-49