Answer:
The expression is equivalent , but is not completely factored
Step-by-step explanation:
A student factors 3x² – 12 to the following. 3(x² – 4)
3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;
If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.
However; <em>3(x² – 4), could be factored further;</em>
<em>To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;</em>
<em>Therefore;</em>
<em>3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)</em>
Answer: 84
Step-by-step explanation: 110% of 40 is 44
40+44=84
Answer:
x < −8
Step-by-step explanation:
Let's solve your inequality step-by-step.
<u>Step 1</u>: Simplify both sides of the inequality.
<u>Step 2</u>: Add 9 to both sides.
<u>Step 3</u>: Divide both sides by -3.
-3x 24
----- > -----
-3 -3
x < -8
<u>Answer:</u>
x < −8
First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
Answer: 18 1/2 inches
Step-by-step explanation:
