Answer:
C. -6
Step-by-step explanation:
-3(2)²+4(2)-2
-3(4) + 8 - 2
-12+8-2
-14+8
-6
Answer:
A
Step-by-step explanation:
There are two ways you could do this question. You could graph it with something like Desmos or you could put a couple of x values in for f(x). I'll do the latter first. When you understand it, try putting it into Desmos.
f(x) = (3/4)^x
f(0) = (3/4)^0
f(0) = 1
=======
f(x) = (3/4)^x
f(1) = 3/4
=========
g(x) = (3/4)^x - 6
g(0) = (3/4)^0 - 6
g(0) = 1 - 6
g(0) = - 5
========
g(x) = (3/4)^x - 6
g(1) = (3/4)^1 - 6
g(1)= 3/4 - 6
g(1) = -5 1/4
Conclusion
It looks like the graph has shifted down 6.
Answer
A
Combine like terms, Simplify.
2r - 4r = -2r
1 + 7 = 8
-2r + 8 is your answer
hope this helps
Answer:
Molly doesn't need a loan
Step-by-step explanation:
Molly has a $2500 down payment saved for this purchase, and the dealer's $1500 Cash Allowance will come straight off her total.
If she paid $1500, she would have $1000 left. She doesn't need a loan as the bill has been paid, and there is some money left.
Answer:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x
1
,y
1
) and B(x
2
,y
2
) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x
2
,y
2
) in the ratio 3:2, then using section formula we get,
C=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
⇒(1,1)=(
3+2
3x
2
+(2×−2)
,
3+2
3y
2
+(2×7)
)
⇒(1,1)=(
5
3x
2
−4
,
5
3y
2
+14
)
⇒1=
5
3x
2
−4
,1=
5
3y
2
+14
⇒5=3x
2
−4,5=3y
2
+14
⇒3x
2
=5+4,3y
2
=5−14
⇒3x
2
=9,3y
2
=−9
⇒x
2
=
3
9
,y
2
=−
3
9
⇒x
2
=3,y
2
=−3
Hence, the point B(x
2
,y
2
) is B(3,−3).