Answer: A.30
Step-by-step explanation:
Let's solve your equation step-by-step.
8x−3(2x−4)=3(x−6)
Step 1: Simplify both sides of the equation.
8x−3(2x−4)=3(x−6)
8x+(−3)(2x)+(−3)(−4)=(3)(x)+(3)(−6)(Distribute)
8x+−6x+12=3x+−18
(8x+−6x)+(12)=3x−18(Combine Like Terms)
2x+12=3x−18
2x+12=3x−18
Step 2: Subtract 3x from both sides.
2x+12−3x=3x−18−3x
−x+12=−18
Step 3: Subtract 12 from both sides.
−x+12−12=−18−12
−x=−30
Step 4: Divide both sides by -1.
−x/-1 = -30/-1
<h3>x=30</h3>
Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:

b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:

And that's the same value obtained with the diagram.
Answer:
21/40
Step-by-step explanation:
2 5/8 / 5 =
= 2 5/8 / 5/1
= 21/8 × 1/5
= 21/40
Y=-2x-8+2
y=-2x-6
if x=0;Y=-6
IF y=0;x=-3
to plot the graph; plot point in -6 y-axis and -3 on the x-axis join them together then extend the line
hope u understood