Answer:
Step-by-step explanation:
We are given that
We have to factorize the given expression.
Pair up the terms
Now, taking common factor
Taking common (x+1)
Now, we get
This is required factors of given expression.
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
Answer:
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Step-by-step explanation:
Congruent angles are equal, so m<2 = m<3
4x - 26 = 3x + 4
x = 30
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Answer:
D, 30%
Step-by-step explanation:
you move the decimal point twice to the right
