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Anni [7]
2 years ago
14

What is the area of the figure at the right?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
4 0

Answer: 88 in2

Step-by-step explanation:

16 * 4 = 64

8 * 3 = 24 / 2 = 12

12 + 12 + 64 = 88

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The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
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A metalworker has a metal alloy that is 15​% copper and another alloy that is 60​% copper. How many kilograms of each alloy shou
coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

<u>Step-by-step explanation:</u>

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

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y = 72

Substituting this y value to solve for x gives:

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Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

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2 years ago
If c(x) = 4x – 2 and d(x) = x^2+ 5x, what is (c circle d) (x)?
Xelga [282]

Answer:

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Step-by-step explanation:

To evaluate (c ○ d)(x), substitute x = d(x) into c(x)

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= 4(x² + 5x) - 2

= 4x² + 20x - 2

7 0
2 years ago
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