Answer: The total number of student in the school = 240.
Step-by-step explanation:
Let x be the total number of students in the school.
Given: 35% of the students at Charles drew middle school are 6th graders.
i.e. Number of sixth graders = 35% of x = 0.35x [35% = 0.35]
Since there are 84 sixth graders in the school,
So 
Divide both sides by 0.35, we get
Hence, the total number of student in the school = 240.
Answer:
m=4
Step-by-step explanation:
BC i just learned this
Answer:
y = -3(x + 1)² + 9
Step-by-step explanation:
y = a(x - h)² + k, where (h, k) is the vertex
The vertex of the quadratic function is (-1, 9)
The only equation listed that has a vertex at (-1, 9) is:
y = -3(x + 1)² + 9
Answer:
Step-by-step explanation:
g(x) = a f(x)
- if a > 1 , then the graph will be stretched;
- if 0 < a < 1 , then graph will be compressed.
We have the expression
; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.
The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3:
.
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3:
.
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is
. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
Answer:
