Answer:
93
Step-by-step explanation:
Key :
A1 = Algebra 1
A2 = Algebra 2
Alright so basically lets first look at the info they gave us :
We have 5 more than twice as many students taking A1 than we do A2.
We have 44 students taking A2.
And we need to find the least amount of students that could be taking A1.
So we need to take the amount of students taking A2 (44) and double it to find the amount taking A1.
So we can do 44 x 2 = 88 to get this.
But the problem also states there is 5 more then twice the number of students taking A2.
So we have that 88 but now we just need to add 5 to make up for them telling us that in the problem.
So :
88 + 5 = 93
Our final answer and least amount of students taking A1 is 93 students.
Answer:
C III
Step-by-step explanation:
The rate of change of a linear function is the slope.
f(x) = mx + b is the equation of a linear function whose graph is a straight line. m is the slope.
I f(x) = 4x - 3; m = slope = 4
II f(x) = 1/2 x + 5; m = slope = 1/2
III We can use two points to find the slope.
Let's use points (1, 6) and (2, 12).
m = slope = (y2 - y1)/(x2 x1) = (12 - 6)/(2 - 1) = 6/1 = 6
The three slopes are 4, 1/2, 6.
The greatest rate of change is 6, so the answer is C III.
Answer:
P = -4
Step-by-step explanation:
Assuming that x = 20 and y = 24, you have to plug in these numbers for x and y to get to this equation P = 20 - 24. You should get -4 when you subtract 24 from 20 giving you a negative answer.
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
