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drek231 [11]
3 years ago
11

Simplify the expression. 8.9 +3.5y - 0.5(10y - 3) HELP ASAP

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer: -1.5y + 10.4

Step-by-step explanation: 8.9 + 3.5y - 0.5 (10y - 3)

I hope this helps!

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Find h(g(n)) when h(n) = 2n + 5<br> and g(n) = n +4
Evgen [1.6K]

Answer:

2n+13

Step-by-step explanation:

h(g(n))\\h(n)=2n+5\\g(n)=n+4\\h(n+4)=2(n+4)+5\\=2n+8+5\\=2n+13

5 0
3 years ago
A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perim
HACTEHA [7]

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

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3 years ago
Please help me figure out this problem
tiny-mole [99]

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

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