Step-by-step explanation:
Standard form means that a number is less than 10 and in the form 10^x.
Example: 4 x 10^1, 9.67 x 10^2 or 3 x 10^-5
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Good morning,</h2>
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<em><u>Answer</u></em>:
a+a+a = 3a.
4b-b = 3b.
3x²+x² = 4x².
<u><em>explanation</em></u>
a+a+a = 3a.
4b-b = b(4 - 1) = b × 3 = 3b.
3x²+x² = x²(3 + 1) = x² × 4 = 4x².
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We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
8.5x + 55 = 123
You would use the formula: mx + b = y
The slope is the amount of money each day(mx),and the y-intercept would be the fee(b) and the total cost would be y.
Value
Depreciation is defined as the reduction in value of an
asset over time. In this case, value reduction is due to wear and tear of an
equipment (bicycle).
a. The depreciation value would simply be the difference
in initial and salvage value divided by time in years.
Depreciation = (Initial value – Salvage value) / Number
of years
b. Substituting the given values into the equation where:
Initial value = $1200
Salvage value = $940
Number of years = 10 months = 10/12 years
Calculating:
Depreciation = ($1200 - $940) / (10/12 years)
Depreciation = $312 / year
or
<span>Depreciation = $26 / month</span>