Answer:
Step-by-step explanation:
substitute the value of y in the first equation.
7x-3(5x-4)=20
7x-15x+12=20
-8x=20-12
x=8/-8
x= -1
then you substitute the value of x on the y equation to find y
y=5×-1 -4
y= -5-4
y= -9
Answer:

Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:

Add 1/2 on both sides:

The last step is to switch x and y:



Answer:
The slope is 3/2, and the y-intercept (b) is -1
Step-by-step explanation:
The slope-intercept form is y=mx+b. m is the slope and b is the y-intercept.
Answer:
<h3>The answer is 17.5 units</h3>
Step-by-step explanation:
Using the distance formula
<h3>

</h3>
the distance between (-10, 12) and (5, 3) is
<h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3>
d = 17.492855
We have the final answer as
<h3>d = 17.5 units to the nearest tenth</h3>
Hope this helps you
Answer:
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Step-by-step explanation: