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.
Find the Greatest Common Factor (GCF)
GCF = 4
Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)
4(16w^4/4 + 16w^2/4 - 140/4)
Simplify each term in parenthesis
4(4w^4 + 4w^2 - 35)
Split the second term in 4w^4 + 4w^2 - 35 into two terms
4(4w^4 + 14w^2 - 10w^2 - 35)
Factor out common terms in the first two terms, then in the last two terms.
4(2w^2(2w^2 + 7) - 5(2w^2 + 7))
Factor out the common term 2w^2 + 7
<u>= 4(2w^2 + 7)(2w^2 - 5)</u>
Answer:
y = 
Step-by-step explanation:
Straight line in the graph attached shows the linear relation between number of gallons of white paint and number of gallons of red paint added to prepare pink.
Let the number of gallons of white paint required = x
and number of gallons of red paint required = y
y ∝ x
y = kx [k = proportionality constant]
Since a point (4, 1) lies on this line,
1 = 4k
k = 
Therefore, equation that describes the relationship will be,
y =
Hi there!
3x - 7 ≥ 4x + 2
Subtract 3x from both sides:
3x - 3x - 7 ≥ 4x - 3x + 2
-7 ≥ x + 2
Subtract 2 from both sides:
-7 - 2 ≥ x + 2 - 2
-9 ≥ x
x ≤ -9
