Answer: $30 + $10h > $140.
Step-by-step explanation: Currently Cassie has $30, so that is the fixed amount of money she has. She needs $140 dollars, so this will be on the left side of your inequality with a "greater than symbol". Cassie can earn $10 an hour, use the variable "h" to represent the number of hours she will work. Set your inequality like this:
$30 + $10h > $140.
The reason why we use a "greater than" sign (>) is that the amount of money Cassie earns needs to be greater than the price of the calculator to be able to buy it.
Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
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Answer:
Step-by-step explanation:
![7- \sqrt[3]{2-x} =12](https://tex.z-dn.net/?f=7-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D12)
we have to just keep in mind to do the same operation to both sides of the equal sign
![7-7- \sqrt[3]{2-x} =12-7](https://tex.z-dn.net/?f=7-7-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D12-7)
; subtract 7 from both sides
![- \sqrt[3]{2-x} = 5](https://tex.z-dn.net/?f=-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D%205)
; multiply both sides by -1
![\sqrt[3]{2-x} = -5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2-x%7D%20%3D%20-5)
; raise both sides to the power 3
2-x = (-5)³
2-x = -125 ; subtract 2 from both sides
-x = -125-2
-x =-127; multiply both sides by -1
x= 127
Domain of 2(x + 5) is all real numbers.
