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lisov135 [29]
3 years ago
11

What is the solution set of 2x2+x=15?

Mathematics
2 answers:
vodomira [7]3 years ago
7 0
4+x=15
---> x=15-4
---> x=11
Alexeev081 [22]3 years ago
5 0

Answer:

5/2,-3

Step-by-step explanation:

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Step-by-step explanation:

You do 3.99 divided by 13 to get the price of one

Which is the unit price.

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At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce
Bad White [126]

Answer:

Let v(t) be the velocity of the car t hours after 2:00 PM. Then \frac{v(1/3)-v(0)}{1/3-0}=\frac{50 \:{\frac{mi}{h} }-30\:{\frac{mi}{h} }}{1/3\:h-0\:h} = 60 \:{\frac{mi}{h^2} }.  By the Mean Value Theorem, there is a number c such that 0 < c with v'(c)=60 \:{\frac{mi}{h^2}}. Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly 60 \:{\frac{mi}{h^2}}.

Step-by-step explanation:

The Mean Value Theorem says,

Let be a function that satisfies the following hypotheses:

  1. f is continuous on the closed interval [a, b].
  2. f is differentiable on the open interval (a, b).

Then there is a number c in (a, b) such that

f'(c)=\frac{f(b)-f(a)}{b-a}

Note that the Mean Value Theorem doesn’t tell us what c is. It only tells us that there is at least one number c that will satisfy the conclusion of the theorem.

By assumption, the car’s speed is continuous and differentiable everywhere. This means we can apply the Mean Value Theorem.

Let v(t) be the velocity of the car t hours after 2:00 PM. Then v(0 \:h) = 30 \:{\frac{mi}{h} } and v( \frac{1}{3} \:h) = 50 \:{\frac{mi}{h} } (note that 20 minutes is 20/60=1/3 of an hour), so the average rate of change of v on the interval [0 \:h, \frac{1}{3} \:h] is

\frac{v(1/3)-v(0)}{1/3-0}=\frac{50 \:{\frac{mi}{h} }-30\:{\frac{mi}{h} }}{1/3\:h-0\:h} = 60 \:{\frac{mi}{h^2} }

We know that acceleration is the derivative of speed. So, by the Mean Value Theorem, there is a time c in (0 \:h, \frac{1}{3} \:h) at which v'(c)=60 \:{\frac{mi}{h^2}}.

c is a time time between 2:00 and 2:20 at which the acceleration is 60 \:{\frac{mi}{h^2}}.

4 0
3 years ago
Aubrey went shopping for shrimp for her family's annual shrimp boil. Find the cost per pound. Which store has the best buy of co
denpristay [2]

Answer:

Cash Saver has the best price $13.44 per pound

Step-by-step explanation:

Lets work in oz.

PW sells 10 oz for 8.50 so 8.50/10 = 85 cents per ounce

CS sells 8 oz for 6.75 so 6.75/8 = .84 cents per ounce

Remember 16 oz in a pound

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3 years ago
What is the equation that passes through the points (-2,-4) &amp; (8,1) ??? Please help thanks.
Marizza181 [45]
To solve a Linear equation we need to find the slope:

-4-1 / -2-8 =1/2

now that we have the slope we can find our x and y
y-1=1/2(x-8)
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2 years ago
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