Reflecting over y=x results
(2,4)
Answer:
$466
Step-by-step explanation:
Represent her salary by s. Then the amount spent on rent is s/2.
After spending 168 on her electric and water bills, she had s/2 - 168 dollars left. She spent half of this on her phone bill, leaving her with
s/2 - 168
-------------- dollars.
2
After buying $57 worth of gas, she had
s/2 - 168
-------------- - 57 dollars left, and this came to $92.
2
We must now solve for s.
First, multiply all three terms by 2. We get
s/2 - 168 - 2(57) = 2(92), or
s/2 - 168 - 114 = 184
Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.
She spent half her salary (that is, half of s) on rent. As seen above, this is $466.
Here is how to find the intercepts, if the graph is hovering above the x axis (k<0) there will be no real solutions for the x intercept
Answer:44+1 in the equation for this problem
Step-by-step explanation:
7x+1y = 17.00 can be simplified to y = -7x +17
<span>-7x +17 can then be substituted for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50
From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68 = 17.50
-25x + 68 = 17.50
-68 -68
-25x = -50.50
÷-25 ÷-25
X = 2.02
You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.
7(x) + 1y = 17.00
7(2.02) + y = 17.00
14.14 + y = 17.00
-14.14 -14.14
y = 2.86
Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x) + 4(y) = 17.50
3(2.02) + 4(2.86) = 17.50
6.06 + 11.44 = 17.50
17.50 = 17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)
Hope this helps