Answer:
I think the answer is b
Step-by-step explanation:
I think its b because, $22.95 plus $13.45 equals $36.40. And divide that by 22, and get $1.60 rounded is $2.00. I hope this can help.
(fog)(x)=f(g(x))
f(g(x))=3(-4x+7)+5
f(g(-4))=3(-4(4)+7)+5=3(-16+7)+5=3(-9)+5=-27+5=-22
(fog)(-4)=-22
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:

Every quadratic formula has the structure:

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:

Solve:

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

(Same discriminant value)

Now to find the two solutions, we use both signs in the equation. Solution 1:


Our first solution is -5, now for the second:

The two solution to this equation are -5 and -40.
Hope this helped!
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1 is the first term
n is the numbers of terms
for n=3 a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1
for n=7 a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2
multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3
add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6) (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4
the answer is
a1=4
d=-6
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