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Shkiper50 [21]
3 years ago
5

12 dollars for 3 paper back books and 28 dollars for 7 paper back books are they equivalent please explain

Mathematics
1 answer:
kow [346]3 years ago
3 0
If you have 12 dollars and you buy 3 paper back books, they each cost the same amount. So you would divide 12 dollars among 3 books to get the same answer for all of them. 12 divided by 3 equals the answer.

Then if you have 28 dollars and you buy 7 paper back books, they all cost the same amount. So that would be 28 divided by 7, equals the same answer.
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What is the awnser to the circled equations?​
pshichka [43]

Answer:

y = - \frac{1}{3}x - 1

Step-by-step explanation:

We have to write an equation of a line which  passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ m = - \frac{1}{3}

Therefore, the equation of the required line in slope intercept form is  

y = - \frac{1}{3} x + c {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, 2 = -  \frac{1}{3} \times (-9) + c

⇒ 2 = 3 + c

⇒ c = - 1  

Therefore, the equation of the required straight line is y = - \frac{1}{3}x - 1 (Answer)

5 0
3 years ago
Given g(x) = −3x + 4
Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

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2 years ago
What does C(F) represent?
oksian1 [2.3K]

Answer:

Cystic fibrosis (CF) is a disease that is passed down through families.

If I didn't answer correctly then I don't understand the question.

Step-by-step explanation:

It is caused by a defective gene that makes the body produce abnormally thick and sticky fluid, called mucus. This mucus builds up in the breathing passages of the lungs and in the pancreas.

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