Answer:
The correct answer is B.
Step-by-step explanation:
In order to find this, calculate out the discriminant for each of the following equations. If the discriminant is a perfect square, then it can be factored.
Discriminant = b^2 - 4ac
The only of the equations that does not yield a perfect square is B. The work for it is done below for you.
Discriminant = b^2 - 4ac
Discriminant = 7^2 - 4(2)(-5)
Discriminant = 49 + 40
Discriminant = 89
Since 89 is not a perfect square, we cannot factor this.
Answer:
15 and 6
Step-by-step explanation:
First find out how many customers you talk to in an 8 hr shift
Rate is (8cs/hr)(8hr)=64 customers
So to increase by 20%, multiply the total number of customers by 120%, all the customers before plus the 20%, so (64)(1.2)=76.8, or 77 customers
Answer:
y=x+4
Step-by-step explanation:
2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).
If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.
-1=-5+b -1=-5+4
b = 4 -1=-1
For D:
A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.
For E:
We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.
For G:
Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.
For H:
The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.
