Answer:
h=7
Step-by-step explanation:
Distribute the 4 on the right side
36=4(h+2)
36=4h+8
Subtract 8 on both sides
28=4h
Divide by 4 on both sides
h=7
Hope this helps! :)
Answer:
$80,500
55,500 + 1,500t
Step-by-step explanation:
The question is an arithmetic progression series
Where,
a= first term
d= common difference
n= number of terms
a = $70,000
d= $1,500
n= 8 years
8th term = a + (n-1) d
= 70,000 + (8-1)1500
= 70,000 + 7(1500)
= 70,000 + 10,500
= $80,500
Jocelyn salary after 8 years is $80,500
Solve for when n = t
t th term = a + (n-1)d
= 70,000 + (t - 1)1500
= 70,000 + 1,500t - 1,500
= 55,500 + 1,500t
t th term = 55,500 + 1,500t
Answer:
(6x - 7y)(6x + 7y)
Step-by-step explanation:
36x² - 49y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
36x² - 49y²
= (6x)² - (7y)²
= (6x - 7y)(6x + 7y)
Answer:
Solve for y in the second equation
Step-by-step explanation:
We assume your system is ...
Dividing <em>the </em><em>second equation</em> by 3 gives ...
-3x +y = 1
so an expression for y without fractions can be found by <em>solving for y</em>, that is, by adding 3x:
y = 3x +1
_____
<em>Comment on alternate solution</em>
We'd be tempted to solve the first equation for -9x and substitute for that.
-9x = 10 -4y
(10 -4y) +3y = 3 . . . . . substitute for -9x
-y = -7 . . . . . . . . . . . . . simplify, subtract 10
y = 7 . . . . . . . . . . . . . . multiply by -1