-24ab^2
Is the answer
Hope this helps.
Answer:
(0,5)
Step-by-step explanation:
-2x+6y=30
5x+2y=10
I'm going to use elimination.
I'm choosing this method because both equations are in the same form.
They are in the form ax+by=c.
So in order to use elimination, I need one of my columns that contain the variables to contain opposites. Neither one of my columns with the variables have that. Example -2x and 5x are not opposites and 6y and 2y are not opposite.
I'm going to multiply both sides of equation 2 by -3. This will help me to achieve the opposites in a column.
So the system becomes:
-2x+6y=30
-15x-6y=-30
---------------------If we add the columns you will see that the variable y get's eliminated. Let's do that.
-2x+6y=30
-15x-6y=-30
-------------------Adding!
-17x+0y=0
-17x =0
x =0
So using one of the equations (you choose; doesn't matter which one you pick) along with x=0, I'm going to find y.
I choose equation 2.
That is I choose 5x+2y=10 along with x=0 to find y.
5x +2y=10 with x=0
5(0)+2y=10
0 +2y =10
2y=10
y=10/2
y=5
The solution is (x,y)=(0,5).
Answer:
D. (x + 4)(x + 4)
Step-by-step explanation:
The poynomial x^2 + 8x + 16 is a perfect trinomial.
Perfect trinomials are when the square root of the first term, multiplied by the square root of the third term, multiplied by 2, is equal to the middle term.
In trinomial ax² + bx + c, it is perfect when:
(2) (√(ax²)) (√c) = bx
In x² + 8x + 16,
2(√x²)(√16) = 8x
The formula for a perfect trinomial is:
ax² ± bx + c = (√(ax²) ± √c)(√(ax²) ± √c) = (√(ax²) ± √c)²
Open up two brackets. Square the first and last term, and they are either added or subtracted based on the sign before the middle term.
In x² + 8x + 16,
(√x² + √16)² = (x + 4)² = (x + 4)(x + 4)
Answer:
P(AUB)'=2/15
Step-by-step explanation:
According to the Question,
- Given That, A and B be two independent events. If P(A)=3/5 and P(B')=1/3.
So, P(B)=1-P(B') ⇒ P(B)=1-(1/3) ⇔ P(B)=2/3
- The Product Rule of Probability says For independent events P(A∩B)=P(A)×P(B)
P(A∩B)=3/5 × 2/3 ⇒ P(A∩B)=2/5
- We know, P(AUB)=P(A)+P(B)-P(A∩B)
Thus, P(AUB)= 3/5 + 2/3 - 2/5
P(AUB)=1/5 + 2/3
P(AUB)=(3+10)/15 ⇔P(AUB)=13/15
- Now, The Value Of P(AUB)'=1-P(AUB) ⇔ 1 - 13/15 ⇒ P(AUB)'=2/15
Answer:
$22.94
Step-by-step explanation:
$23 × 0.05 or 5% = $1.15
$23 - $1.15 = $21.85
$21.85 × 0.05 or 5% (for sales tax) = $1.0925
$21.85 + $1.0925 = $22.94