Answer:
-2.5x-.5
![y=\frac{2}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-1)
draw the dotted line (3/7)x-3 and shade below it
Step-by-step explanation:
First, we need the slope
Use the slope formula:
![\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5](https://tex.z-dn.net/?f=%5Cfrac%7BY_2-Y_1%7D%7BX_2-x_1%7D%3D%5Cfrac%7B2-%28-8%29%7D%7B-1-3%7D%3D%5Cfrac%7B10%7D%7B-4%7D%3D-2.5)
so we have
y= -2.5x+b
Solve for b by plugging in coordiantes
-8= -2.5(3)+b
-8= -7.5+b
b= -.5
Put it together and get -2.5x-.5
2.)
A line is parallel to another line if they have the same slope (and different y intercepts)
So in the formula y=mx+b we knowe that m= 2/3
Now it's just a matter of solving for B
plug in the required coordinate to do this
-1=(2/3)*0+b
-1= b
Put it all together to get
![y=\frac{2}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-1)
3.)
put this into slope intercept form
3x-7y>21
3x-21 > 7y
(3/7)x-3 >y
To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)
Answer:
Adam is the fastest runner
Answer:
D=90° E=103° F=77°
Step-by-step explanation:
D+90°=180°
D=90°
F+103°=180°
F=77°
E + F=180°
E=103°
Answer:
x = 7
x = -5
Step-by-step explanation:
Given
x² - 2x - 35 = 0
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5, since
- 7 × 5 = - 35 and - 7 + 5 = - 2, thus
(x - 7)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
Answer:
1. Lisa purchased almonds for $3.00 and spent $24.90.
The quantity of almonds bought is therefore:
= Total amount spent / Cost per pound
= 24.90 / 3
= 8.3 pounds
2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:
= Maximum amount for almonds / Price per almonds
= 25 / 3.5
= 7.14 pounds