Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
Answer:
4 /15
Step-by-step explanation:
From the number cube :
Count of Numbers greater than 4 = 16
Sample space of number cube = 20
P(number greater than 4) = 16 / 20 = 4/5
Word : ATTENTION
Count of letters in attention = 9
Count of T's in attention = 3
P(choosing T) = 3 / 9 = 1/3
P(greater than 4, then T) = 4/5 * 1/3 = 4 /15
14.6666666667
Step-by-step explanation:
2•10=20/1/3=6.66666666667+8 is that but you can write it like 14.6 with _ that on top
Answer:
Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).
1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.
2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.
3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.
Then, the polynomial function with the zeros described above is

Answer:
C. 60° and 80°
Step-by-step explanation:
Sum of triangle = 180°
Therefore,
8x + 4 + 6x - 2 + 10x + 10 = 180
Add like terms
8x + 6x + 10x + 4 - 2 + 10 = 180
24x + 12 = 180
24x = 180 - 12
24x = 168
x = 168/24
x = 7
Find each measure of the angles by substitute x = 7 into each expression
8x + 4 = 8(7) + 4 = 60°
6x - 2 = 6(7) - 2 = 40°
10x + 10 = 10(7) + 10 = 80°
The answer is 60° and 80°