Answer:
$2.76
Step-by-step explanation:
9/3.25=2.76
Step-by-step explanation:
x = number hours dog walking
y = number hours tutoring
x + y <= 11
6x + 10y >= 80
the solution is the common area below the first line and above the second line.
the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
6×(11 - y) + 10y = 80
66 - 6y + 10y = 80
4y = 14
y = 14/4 = 7/2 = 3.5
x = 11 - y = 11 - 3.5 = 7.5
so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.
Three examples are (9, 1), (9, -5), and (9, 3.2).
Tautology is when something is repeated in a sentence but using different words. It can be used to enrich the sentence but also it can be needless repetition.
5 statements that would produce a tautology:
1. Lets order a toast sandwich.
2. In my opinion, I think he is right.
3. The Gobi is a very dry desert.
4. The hurricane hit in 3 p.m. in the afternoon.
5. Don't worry, everything is well and good.
Answer:
Step-by-step explanation:
We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.
In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,
Substitute these values into the formula.
Remember that 2 back to back subtraction signs are the same as an addition sign.
The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.
6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.
The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.
