Answer:
5b + 9
Step-by-step explanation:
You are essentially trying to simplify the expression given to you. To do so, combine terms with like terms:
4b + 9 + b
In this case, combine all terms with the same amount of variables, b.
(4b + b) + 9 = 5b + 9
5b + 9 is your answer.
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Answer:
m= 9/5 n - 3
Step-by-step explanation:
Let's solve for m.
−5m+9n=15
Step 1: Add -9n to both sides.
−5m+9n+−9n=15+−9n
−5m=−9n+15
Step 2: Divide both sides by -5.
-5m/-5 = -9n+15/-5
m= 9/5 n - 3
Answer:
g≤6
Step-by-step explanation:
Answer: C) d+13/d+4
Here’s why:
Step 1: Rewrite the factor
d^2 + 7d +4d +28 / (d+4)^2 + 6 / d+4
Step 2 : factor out d from the expression and factor out 4 from the expression
d × (d+7) + 4(d+7) / (d+4) ^2 + 6 / d+4
Step 3: Factor out d+7 from the expression
(d+7) × (d+4) / (d+4) ^2 + 6 / d+4
Step 4: simply the expression
d+7 / d+4 + 6/ d+4
Step 5: write all numerators above the common denominator
d+7+6 / d+4
Step 6: add the numbers and you get
d+13 / d+4
Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²
