Answer:
-6
Step-by-step explanation:
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.
Answer:
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:
In this question:
The statement is
Answer:
C
Step-by-step explanation:
y=x is a line that has slope 1 meaning it go ups (increases) from left to right.
So that puts us at choice A or C.
Both A or C differ by the numerator for the other function.
We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.
Let's do that:
A: -x-10=0 C. -x+10=0
-x=10 -x=-10
x=-10 x=10
A says x-intercept -10
C says x-intercept 10
Your graph intercepts the x-axis at 10 so the answer is C.
Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Answer:
(r o g)(2) = 4
(q o r)(2) = 14
Step-by-step explanation:
Given
Solving (a): (r o q)(2)
In function:
(r o g)(x) = r(g(x))
So, first we calculate g(2)
Next, we calculate r(g(2))
Substitute 9 for g(2)in r(g(2))
r(q(2)) = r(9)
This gives:
{
Hence:
(r o g)(2) = 4
Solving (b): (q o r)(2)
So, first we calculate r(2)
Next, we calculate g(r(2))
Substitute 3 for r(2)in g(r(2))
g(r(2)) = g(3)
Hence:
(q o r)(2) = 14
