When you solve an inequality, you should always be extra careful to check that you don't multiply it by a negative number - because if you do, then you have to change the sign!
So here, the mistake is in this step:
−9x≥ −36
x ≥ 1.
you should change the sign to ≥
x≤1!
Answer: There are 500 ninth grade students at Richbartville high school.
Step-by-step explanation:
Let be "x" the number of ninth grade students that are at Richbartville high school.
You know that the number of ninth grade students take algebra is 450 and this amount represents the 90% of the the ninth grade students at Richbartville high school.
Knowing this, you can set up the following proportion:
![\frac{90}{450}=\frac{100}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B450%7D%3D%5Cfrac%7B100%7D%7Bx%7D)
The final step is to solve for "x" in order to find its value. This is:
![(x)(\frac{90}{450})=100\\\\x=(100)(\frac{450}{90})\\\\x=500](https://tex.z-dn.net/?f=%28x%29%28%5Cfrac%7B90%7D%7B450%7D%29%3D100%5C%5C%5C%5Cx%3D%28100%29%28%5Cfrac%7B450%7D%7B90%7D%29%5C%5C%5C%5Cx%3D500)
Therefore, there are 500 ninth grade students at Richbartville high school.
Ok, so if a zero is at r1, then a factor is (x-r1)
since there are no other roots, it must be only taht root
3rd degree so reaise it to the 3rd power
(x-r1)³
and the root is at x=-3
(x-(-3))³
(x+3)³
answer is f(x)=(x+3)³
also could be x³+27 where it factors to one real root and 2 complex roots
Answer:
I would say 82 but it depends on how much each test was worth.
Step-by-step explanation:
Answer:
3x + 2y = 38, 3a + 2b = 38
Step-by-step explanation:
An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.
In the context, two different equations for the situations are :
i). Let the shirt be represented by x
And the socks be represented by y
Therefore, according to the question,
3x + 2y = 38
ii). Let the shirt be represented by a
And the socks be represented by b
Therefore, according to the question,
3a + 2b = 38