Answer:
Step-by-step explanation:
To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:
The midpoint is at 
. Where:
Then, the midpoint is at:
= 
Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:
⇒ 
=
Therefore, the point is 1/4 of the way from A to B is:
Answer:
i. D:All real numbers
ii.R:
iii. Y-int:
Step-by-step explanation:
The given function is
The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.
The vertex of this function is
The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
![(-\infty,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C2%5D)
iii. To find the y-intercept, we substitute
into the funtion.
The y-intercept is
The graph is shown in the attachment.
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
9514 1404 393
Answer:
$491.65
Step-by-step explanation:
The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.
The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.
So, the gross pay is ...
$43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages
$3000 × .04 +1115 × .05 = $175.75 . . . commission
$315.90 +1.75.75 = $491.65 . . . . gross pay for the week
_____
It can be less tedious to let a spreadsheet do the calculations.
Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.
<h3>
How to convert decimal to fractions.</h3>
From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.
Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:
= 1 + 15/100
= 1 + 3/20
= 1 3/20
Therefore, the fraction is 1 3/20.
Learn more about fractions on:
brainly.com/question/17220365
