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DENIUS [597]
2 years ago
7

Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change

Mathematics
1 answer:
frutty [35]2 years ago
3 0

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3

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In planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San
Alex777 [14]

Answer:

The gas cost for the Camry will be $ 150.

Step-by-step explanation:

Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:

Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.

In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.

To determine the total cost of gasoline for the Camry, the following calculation must be performed:

(1,500 / 40) x 4 = X

37.5 x 4 = X

150 = X

Therefore, the gas cost for the Camry will be $ 150.

5 0
2 years ago
What's two ratios that are equivalent to 4:11
Morgarella [4.7K]

Here are a few ratios that are equivalent to  4 : 11  . . . . .

8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion

4 0
3 years ago
Read 2 more answers
PLEASE HELP I MIGHT FAIL MATH. For a charity event, raffle tickets are printed such that they have a vowel (excluding y) as the
Radda [10]

Answer:

Step-by-step explanation:

Remark

You better be issuing  a very small number of tickets.

Tickets vowels: a e i o u

Primes < 10: 2 3 5 7

Probability(e and 5) = 1/5 * 1/4 = 1/20

Answer: 1/20

Answer:0.05

You should probabily give 0.05 as your answer.

8 0
2 years ago
Find the sample size required to achieve the given margin of error with SD = 51.02 and z - score = 1.96. Round your answer to th
coldgirl [10]

Answer:

The sample size required is 2500.

Step-by-step explanation:

z-score:

In function of the margin of error M, the z-score is given by:

Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}

In this question, we have that:

\sigma = 51.02, M = 2, Z = 1.96

So

Z = \frac{M\sqrt{n}}{\sigma}

1.96 = \frac{2\sqrt{n}}{51.02}

2\sqrt{n} = 51.02*1.96

\sqrt{n} = \frac{51.02*1.96}{2}

(\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2

n = 2500

The sample size required is 2500.

3 0
3 years ago
Whats the slope of (-1,4) and (-2,5)
12345 [234]

Answer:

the slope is -1

Step-by-step explanation:

rise over run

7 0
2 years ago
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