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AlladinOne [14]
3 years ago
15

Apply the distributive property to create an equivalent expression.

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

a-3b+4

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
Tomato paste is sold in a cylindrical can. The can has a radius of 1.5 inches and a height of 4.8 inches. What is the volume of
Furkat [3]

Answer:

33.912 in

Step-by-step explanation:

find the area of the circle first by: multiplying 1.5squared X 3.14= 7.065

the multiply it by the height (4.8) = 33.912

7 0
3 years ago
How do I solve this
ra1l [238]
-2+(-5)=-7 and 6+(-3)=3
5 0
3 years ago
100^m ÷ 1000^n can be written in the form 10^z. Express z in terms of m and n
Kitty [74]

100m ÷ 1000n

(102)m ÷ (103)n

102m ÷ 103m

10-m

4 0
3 years ago
Read 2 more answers
Help me please that’s easy but....
grin007 [14]

Let's resolve the powers of 10 to make them comparable

47000

45000

5000

280000

125000

Now you can see the largest is 280000 and the smallest is 5000

Their difference is 280000 - 5000 = 275000

4 0
2 years ago
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