Answer:
Step-by-step explanation:
X is the missing number
Given:
The inequality is
To find:
The solution of the given inequality.
Solution:
We have,
Isolate the variables terms on the left side.
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
Therefore, the correct option is D.
Answer:
1 to 20 to 17 to 29
Step-by-step explanation:
<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant.
f(x) = x^2 + 6x + 8
6^2 - 4*1*8
36 - 32 = 4
Positive, so f(x) has 2 real roots.
g(x) = x^2 + 4x + 8
4^2 - 4*1*8
16 - 32 = -16
Negative, so g(x) does not have any real roots
h(x) = x^2 – 12x + 32
-12^2 - 4*1*32
144 - 128 = 16
Positive, so h(x) has 2 real roots.
k(x) = x^2 + 4x – 1
4^2 - 4*1*(-1)
16 - (-4) = 20
Positive, so k(x) has 2 real roots.
p(x) = 5x^2 + 5x + 4
5^2 - 4*5*4
25 - 80 = -55
Negative, so p(x) does not have any real roots
t(x) = x^2 – 2x – 15
-2^2 - 4*1*(-15)
4 - (-60) = 64
Positive, so t(x) has 2 real roots.</span>
Answer:
The first option: A.) For any numbers a, b, and c, a(b + c) = ab + ac.
Step-by-step explanation:
So anytime that you have a number or letter in front of a set of parenthesis that has numbers within (such as the example problem of: a(b + c)), you need to take the number outside of the parenthesis (a) in this situation) and multiply it to all of the numbers inside the parenthesis, like this:
a(b + c).
Multiply a into b, then multiply a into c, so that the equation looks like this:
ab + ac.
I hope that this helps.
