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goldfiish [28.3K]
2 years ago
11

What is the range of the function f(x) = |x – 3| + 4?

Mathematics
1 answer:
lukranit [14]2 years ago
6 0

Answer: R: {f(x) ∈ ℝ | f(x) ≥ 4}

Step-by-step explanation:

|x-3| \geq 0 for all real x, so the range is f(x) \geq 4.

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To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

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3 0
3 years ago
James has worked full time as an entry-level web designer since earning his certification. He
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A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period

Monthly income calculation

James monthly income is calculated as follows;

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The required <u>James' monthly personal budget </u>is presented as follows;

Based on the above monthly income, the monthly personal budget is found by entering the given values in a budget template as follows;

\begin{array}{lllc}& Incone &\$3,916.6 \\&Rent&\$950\\&Insurance \ (renter's)&\$25\\&Insurance \ (health)&\$185\\&Retirement \ (401 (k))&\$157\\&Car \ insurance &\$120 \\Fixed \ expenses&Utilities&\$100 &\\&Cell \ phone &\$85 &\\&Cable \ TV& \$70 &\\&Credit \ card& \$150 \\&Car \ payment&\$554\\&\underline{ \mathbf{Total \ fixed \ expenses}}& \$2,396 \\&&\\&Clothing& \$80 & \\Variable \ expenses&Groceries& \$300 \\&Entertainment&\$196 \\&\underline{ \mathbf{ Total \ variable \ expenses}}&\$576 \end{array}

                                Savings   {}                             $944.\overline 6

Learn more about how to make a budget here:

brainly.com/question/14080312

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