Answer:
x^4 -2x^2 -24
Step-by-step explanation:
(x^2+4)(x^2−6)
FOIL
First: x^2*x^2 = x^4
Outer: x^2 *-6 = -6x^2
Inner: x^2 *4 = 4x^2
Last: 4*-6 = -24
Add them together
x^4 -6x^2 +4x^2 -24
Combine like terms
x^4 -2x^2 -24
This is in standard form since the powers decrease
Answer: We know Gabrielle is 9 yrs younger than Mikhail hence it will be x-9 yrs. Sum of their ages is 87. Mikhail's age is 48 yrs.
HOPE THIS HELPS
We define the variables:
p: cost of bushel of peaches
w: cost of watermelon
We wrote the system of equations:
12p + 5w = 150
15p + 8w = 198
We can represent the system in matrix form as
Ax = b
Where,
A = [12 5; 15 8]
b = [150; 198]
x = [p; w]
Answer:
D. $16.42
Step-by-step explanation:
In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.
To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.
199.99 * 0.0825 = 16.499175
This number is closest to $16.42, so D is the correct answer.
Answer:
First, a absolute value function is something like:
y = f(x) = IxI
remember how this work:
if x ≥ 0, IxI = x
if x ≤ 0, IxI = -x
Notice that I0I = 0.
And the range of this function is all the possible values of y.
For example for the parent function IxI, the range will be all the positive reals and the zero.
First, if A is the value of the vertex of the absolute function, then we know that A is the maximum or the minimum value of the function.
Now, if the arms of the graph open up, then we know that A is the minimum of the function, and the range will be:
y ≥ A
Or all the real values equal to or larger than A.
if the arms of the graph open downwards, then A is the maximum of the function, and we have that the range is:
y ≤ A
Or "All the real values equal to or smaller than A"
