To make this a little clearer, let's give the pairs of inequalities the same denominator:
<span>Question 1:
</span>
?
First, apply the common denominator to the first fraction:
Do the same for the second:
Nest, compare the two fractions:
Therefore:
>
<span>
Question Two:</span>
?
Apply the common denominator to fraction one:
Fraction two:
Evaluate:
>
Therefore:
<span>
> </span>
Hope this helps!
Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
-3x^2+12x-15=0
-3x^2+12x =15
-3x^2+12x+36=15
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly
There were 40 questions on the test.
The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
Set 40-x and (-95/2)+(5/2)x equal to each other:
Johnny answered correctly
25 questions.
Answer:
Beth is incorrect.
It is a translate to the right 5 units and up 1 unit.
When we solve x-5=0 we get x=5, not x=-5 which says we go right 5 units.
When we plug in 5 into the expression for g, we get 1 which means go up 1 as well.
Step-by-step explanation:
So 
is actually a translated 5 units and up 1 unit. Why?
Let's take there point (0,0) and figure out what the new point is on the translated graph.
We need to figure out when the inside of our square root for g is 0. This is where the graph of g will start at and continue on.
x-5=0 when x=5 ( I added 5 on both sides).
So let's plug in 5 to see what the new point is.
So the new graph, g, starts at the point (5,1).
