Answer:
a) 24
b) -21.
Step-by-step explanation:
For question a), we first solve whatever is in the parenthesis, because of PEMDAS.
Our original equation was:
4 (6 + (-3)) + 3 (4)
We get rid of the parenthesis first. 6 + (-3) = 6 - 3 = 3, so we have:
4 (3) + 3 (4)
We can multiply, and then add.
12 + 12 = 24.
For question b), we once again start off with getting rid of the parenthesis. However, within the parenthesis, we still have to follow PEMDAS, meaning that we have to do the multiplication first and the subtraction after.
Thus we have:
-2 (6) + 3(-3)
We can multiply things out and then add.
-12 + -9
= -1 (12 + 9)
= -1 (21)
= -21.
The equation of the line is y = -2/3x - 3.
To find this, we first need to turn the intercepts into ordered pairs.
x intercept: (-4.5, 0)
y intercept: (0, -3)
Now we can use these two points and the slope equation to find slope.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(-4.5 - 0)
m = 3/-4.5
m = -2/3
Now that we have the slope, we can use slope intercept form to find the intercept.
y = mx + b
-3 = 2/3(0) + b
-3 = 0 + b
-3 = b
Which allows us to model the equation as y = -2/3x - 3
Answer:
<h2>z = - 7</h2>
Step-by-step explanation:

<u>Move -1 to the right side of the equation</u>

<u>Divide both sides by 2</u>

We have the final answer as
<h3>z = - 7</h3>
Hope this helps you
Answer:
x = - 4
Step-by-step explanation:
Given
r(x) = - 5x - 1 and r(x) = 19, then equating the right sides gives
- 5x - 1 = 19 ( add 1 to both sides )
- 5x = 20 ( divide both sides by - 5 )
x = - 4
Answer:
−x+8
Step-by-step explanation:
Hope this helps :)