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3 years ago

This is my question. If Andy drove 840 miles in 12 hours. How far could he drive in hours? Help me?

Mathematics

1 answer:

stellarik [79]3 years ago

7 0

Answer:

840mi. - 12 hrs

x - 3 hrs

This is a simple cross multiplying problem.

840 _ 12

x -- 3 ⇒12x=3(840) ⇒ 4x=280 ⇒ x=70 miles

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

A. 25(-5) = ? b. -15(-5) = ?

Ronch [10]

A) -125
b: 75
I hope its help :-D

7 0

3 years ago

Plz help I'm and dead confused

boyakko [2]

<h3>Answer: Choice D</h3>

Domain: {-3, -1, 2, 4, 6}

Range: {-2, 1, 2, 4, 6}

===========================================

Explanation:

The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point

Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain

Point B is at (-1,1) meaning x = -1 is also part of the domain

And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.

--------------------

The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.

Point B has y coordinate y = 1, so that is also part of the range.

The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.

With any set, the order does not matter. Though convention is to list the items from smallest to largest.

6 0

3 years ago

If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?

Rina8888 [55]

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

a - 5 - 3 = 0

a = 3 + 5 = 8.

3 - b = 0

b = 3.

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

8 0

3 years ago

A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2x^

damaskus [11]

Answer:

The minimum average cost per dulcimer is 150 and the minimum cost is $180.

Step-by-step explanation:

The given cost function is

$C(x)=0.2x^2-0.6x+2.250$

Differentiate the function C(x) with respect to x.

$C'(x)=0.2(2x)-0.6(1)+(0)$

$C'(x)=0.4x-0.6$

Equate C'(x)=0, to find the critical values.

$C'(x)=0$

$0.4x-0.6=0$

$0.4x=0.6$

Divide both sides by 0.4.

$x=\frac{0.6}{0.4}$

$x=1.5$

Differentiate the function C'(x) with respect to x.

$C''(x)=0.4(1)$

$C''(x)=0.4$

At x=1.5

$C''(1.5)=0.4$

The value of double derivative is positive. It means the function is minimum at x=1.5 hundred.

1.5 hundred = 150

Substitute x=1.5 in the given function to find the minimum average cost.

$C(1.5)=0.2(1.5)^2-0.6(1.5)+2.250$

$C(1.5)=1.8$

The minimum cost is 1.8 hundred dollars.

1.8 hundred dollars = $180

Therefore, the minimum average cost per dulcimer is 150 and the minimum cost is $180.

8 0

3 years ago

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