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2 years ago

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48

Pavel [41]

Answer:

Hi! The answer to your question is 72 Cupcakes

Step-by-step explanation:

$60+48 = 108$

$180 - 108 = 72$

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2 years ago

What is a reasonable distance between two cities? A. 200 km B. 200 m C. 200 cm D. 200 mm

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Answer:

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Step-by-step explanation:

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3 years ago

Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

4 0

3 years ago

Read 2 more answers

3y2+y3−5)+(4y2−4y+2y3+8)

jeka57 [31]

Answer: 3y3+7y2+−4y+3

Step-by-step explanation:

3y2+y3+−5+4y2+−4y+2y3+8

Combine Like Terms:

=3y2+y3+−5+4y2+−4y+2y3+8

=(y3+2y3)+(3y2+4y2)+(−4y)+(−5+8)

=3y3+7y2+−4y+3

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2 years ago

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

lara31 [8.8K]

Group first 2 and group last 2 and find factors and undistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
answer is first one

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3 years ago

Read 2 more answers