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2 years ago

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Mathematics

2 answers:

cestrela7 [59]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

(1)

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (18, - 5)

m = $\frac{-5+5}{18+2}$ = $\frac{0}{20}$ = 0

(2)

divide number of miles travelled by number of gallons used

= $\frac{132}{6}$ = 22 miles per gallon

djverab [1.8K]2 years ago

3 0

The one on the right is 22.
$132 \div 6$
which gives u a price of 22 per gallon

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Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

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Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

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Equality Properties

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Subtraction Property of Equality

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Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

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Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$