Answer:
discriminant =0
1 real root
Step-by-step explanation:
The discriminant is b^2 -4ac
when the equation is written in the form ax^2 +bx+c
f(x) = 3x^2 +24x+48
a = 3 b = 24 and c =48
discriminant = 24^2 - 4(3)*(48)
=576-576
=0
If the discriminant >0 we have 2 real roots
if discriminant = 0 we have 1 real root
if discriminant <0 we have 2 complex roots
Answer:
Width: 10 inches
Length: 15 inches
Step-by-step explanation:
Let the width be w.
Since the length is 5 inches longer than its width, the length = w +5.
Area of rectangle = length x width
w (w +5) = 150
w^2 + 5w = 150
w^2 + 5w -150 = 0
Using quadratic formula,
w = 10 or -15
Since the width cannot be negative,
the width is 10 inches.
Now just substitute w=10 into length = w +5.
length = 10 + 5
= 15 inches
Strange question, as normally we would not calculate the "area of the tire." A tire has a cross-sectional area, true, but we don't know the outside radius of the tire when it's mounted on the wheel.
We could certainly calculate the area of a circle with radius 8 inches; it's
A = πr^2, or (here) A = π (8 in)^2 = 64π in^2.
The circumference of the wheel (of radius 8 in) is C = 2π*r, or 16π in.
The numerical difference between 64π and 16π is 48π; this makes no sense because we cannot compare area (in^2) to length (in).
If possible, discuss this situatio with your teacher.
Answer:
36.25 is equal to the 45.5% of 79.67
Step-by-step explanation:
To solve this you just have to find the value that represents the 100%.
To do this, you can use the Rule of Three that allows you to solve problems of proportions.
In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.
Mathematically it will be:
Then you have to solve the equation to find <em>X</em>:
And finally, the answer is:
I'm not sure I'm right, I'm not all that good at elimination but I think the answer is y = 13. So I guess the answer would be A. one solution
