Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)
(a) Kellie’s minutes-per-mile pace was faster than Ashley’s minutes-per-mile pace.
True
10/75 = 0.14
15/120 = 0.13
(b) Kellie ran 8 mph.
True
10 ÷ 1.15 = 8
(c) Ashley ran 12 mi in 90 min.
False
Speed = 7.5 mph
7.5 × 1.5 = 11.25 mi
True
3/6 = 0,5
1/8 = 0,125
0,5 > 0,125
Answer:
<em>The quotient is 
</em>
Step-by-step explanation:
Given expression is: 
<em>While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction. </em>
So, we will get.....
![\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4c%5E2%7D%5Cdiv%20%5Cfrac%7B15%7D%7B7c%7D%5C%5C%20%5C%5C%20%3D%5Cfrac%7B5%7D%7B4c%5E2%7D%5Ctimes%20%5Cfrac%7B7c%7D%7B15%7D%5C%5C%20%5C%5C%20%3D%5Cfrac%7B35c%7D%7B60c%5E2%7D%5C%5C%20%5C%5C%20%3D%20%5Cfrac%7B7%7D%7B12c%7D%20%5C%20%5C%20%5BDividing%5C%20both%5C%20numerator%5C%20and%5C%20denominator%5C%20by%5C%205c%5D)
So, the quotient is
Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
