Answer:
y=x
Step-by-step explanation:
We want a line parallel to y =x+42
The slope of y =x+42 is 1
Parallel lines have the same slope
We have the slope m=1 and a point (2,2)
We can use point slope form to write a line
y-y1 = m(x-x1)
y-2 = 1(x-2) point slope form
Changing to slope intercept form
y-2 = x-2
Add 2 to each side
y-2+2 = x-2+2
y=x
Answer:
y=x+10
Step-by-step explanation:
y=mx+b
y=1x+b
1 because for every 10 it goes to the right, it goes up 10 as well.
b=10 because the function crosses the y-axis at 10
so
y=x+10
5x + 10y = 18
x = y -6, we substitute this into first equation.
5x + 10y = 18
5*(y - 6) + 10y = 18
5y - 30 + 10y = 18
So it the last option from the top.
The inequality is:
x + $488.04 ≥ $500
And the solution is
x ≥ $11.96
<h3>How to write and solve the inequality?</h3>
First, let's define x as the amount that she needs to deposit.
Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:
$638.54 - $159.50 = $488.04
Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:
x + $488.04 ≥ $500
Solving that for x, we get:
x ≥ $500 - $488.04 = $11.96
She needs to deposit at least $11.96.
If you want to learn more about inequalities:
brainly.com/question/24372553
#SPJ1
<span>12 = -4(-6x - 3) + 2x
Distribute the -4 on the right side.
12 = 24x + 12 + 2x
Combine like terms on the right side.
12 = 26x + 12
Subtract 12 from both sides.
0 = 26x
Divide both sides by 26
0 = x
Switch sides.
x = 0
There is one solution.
</span>
