Answer:
The value of the equation
.
Step-by-step explanation:
Consider the provided equation.

We need to solve the provided equation for y.
Subtract 3x from both side.


Divide both sides by 7.


Hence, the value of the equation is
.
Answer:
Yes.
Step-by-step explanation:
You can find it out by factoring but ill do it easier way.
(x + 1 ) = 0 put the first and second equation to 0
x = -1
x³ + 2x² - 5x - 6 = 0 Now plug in the x in the equation
(-1)³ + 2(-1)² - 5(-1) - 6 = 0
0 = 0
so (x + 1) is a factor.
Answer:
a=12
Step-by-step explanation:
If you solve for x, you divide by (a-12) to isolate x on the left side:
x = (a+8)/(a-12)
If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.
Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647