(2x³ - 5x² + 8)(x + 3) = ?
First step is to distribute.
2x^4 + 6x³ - 5x³ - 15x² + 8x + 24
Now combine like terms.
2x^4 + x³ - 15x² + 8x + 24
This is your answer, since you can't simplify any further or solve it without some more information.
Answer:
Choice B: BD/DA = CE/EA
Step-by-step explanation:
Slope is rise over run. For the two slopes to be equal, the rise over run of the two triangles must be equal.
The rise over run for triangle ABD is BD/DA.
The rise over run of triangle ACE is CE/EA.
For the slopes to be equal, BD/DA = CE/EA
Answer: Choice B.
In the X column put 1, 2, and 3
for the y column, plug in the 1, 2, or 3 into the X
for example, a) y=5x+3
x= 1, 2, 3 y=5(1)+3 = 8
y= 8, 13, 18
Answer:
1
Step-by-step explanation:
The absolute value of 4 is 4 and the absolute value of -3 is 3 so the difference between 4 and 3 is 1.
Answer:
$20
Step-by-step explanation:
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?
Step 1
Find out how many loaves of bread he can produce from 18 cups of flour
11 1/4 cups of flour = 5 loaves of bread
18 cups of flour = x loaves of bread
Cross Multiply
11 1/4 cups × x loaves = 18 cups × 5 loaves
x loaves = 18 cups × 5 loaves/ 11 1/4 cups
x loaves = 90 ÷ 11 1/4
x loaves = 90 ÷ 45/4
x loaves = 90 × 4/45
x loaves = 8 loaves of bread
He can produce 8 loaves of bread from 18 cups of flour.
Step 2
We are told that:
1 loaf of bread costs $2.50
Hence,
1 loaf of bread = $2.50
8 loaves of bread = $x
Cross Multiply
$x = 8 loaves of bread × $2.50
$x = $20
Therefore, Paul made $20 from his bread sales