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OLEGan [10]
3 years ago
6

Given h(x) = -5x + 3, find h(5).

Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

h(5) = -22

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

h(x) = -5x + 3

h(5) is x = 5

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function]:                                                                                h(5) = -5(5) + 3
  2. Multiply:                                                                                                             h(5) = -25 + 3
  3. Add:                                                                                                                   h(5) = -22
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Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?
snow_tiger [21]

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<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

Then for every 1 goal, she needs 0.37 meters of netting.

Because \boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}

Option B: the ratio (or proportion)

In the ratio, we process as follows:

\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }

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\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ } meters of netting.

We cross out eight and four because they can be divided.

\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }

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<h3>Learn more</h3>
  1. About the engine displacement of Kawasaki Ninja brainly.com/question/5009365
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Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

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