The correct answer for b^2 - 4ac (also known as the discriminant) should be 57 or answer C.
You first must solve the equation for 0.
<span>1 = 2x2<span> + 7x ---> subtract 1 from each side
</span></span>0 = 2x^2 + 7x - 1
Now we can find a as the coefficient of the x^2 term, b as the coefficient for the x term an c as the number at the end.
a = 2
b = 7
c = -1
Now we can plug these values in for b^2 - 4ac
b^2 -4ac
(7)^2 - 4(2)(-1)
49 + 8
57
<span>In a triangle the sum of two sides is always greater than the third side.
Let x represent </span><span>possible measures for the third side of a triangle
</span><span>
20-15 < x < 20+15
5 < x < 35 </span>← answer
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
Answer:
Step-by-step explanation:
What i would do is turn the first one into an improper fraction
7/5 x 1/4
it's easier to multiply this way
see if you can simplify any of the terms first
7 1
5 4
none of the numbers can be broken down further so we just multiply straight across
7 x 1 is 7
5 times 4 is 20
so the answer would be 7/20
Answer:
H
Step-by-step explanation:
Plane K is shown with two lines. Points on one of them are A, B, G. Points on the other one are G, M, N.
The point in plane K that is not shown on any line is point H.