Answer:
GCF OF 20 AND 32: 4
Gcf of 45 and 75: 15
Step-by-step explanation:
GcF of 20 and 32
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 32: 1, 2, 4, 8, 16, 32
COMMON FACTORS: 1, 2, 4
GCF:4
Gcf of 45 and 75
Factors of 45: 15, 9, 5, 3, 1.
Factors of 75: 25, 15, 5, 3, 1.
CommoN factors: 1, 3, 5, 15
GCF:15
HOPE OT HELPED
Answer:
The second bubble
Explanation
You need to make your exponents equal the other side so to do this;
Distribute the 3 in the exponent "3(x-2)"
Which is 3x-6
And since multiplying exponents adds them, you need a -6 to make the two equal.
So your exponent should equal -6 to make that statement true
9514 1404 393
Answer:
AC ≈ 7.3
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
AC/BC = DF/EF
AC/18 = 15/37 . . . . fill in the given values
AC = 18(15/37) . . . multiply by 18
AC ≈ 7.3
So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
Use the power rule to get:
4X^2-13X+3.
Now solve for X when f(x)=0. This is because when the slope is 0, it is either a minimum or a maximum(I'm assuming you know this)
Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
Thus our potential X values for max and min are X=1,X=4,X=3(You don't want to forget the ends of the bounds!)
Plugging these value in for f(x), we get
f(1)=2.833
f(3)=-8.5
f(4)=1.667
Thus X=1 is the max and X=3 is the min.
So max:(1,2.833)
min:(3,-8.5)
Hope this helps!
Answer:
Step-by-step explanation:
Let chocolate bar = c and blow pops = b
<u>As per given we have equations below:</u>
- 5c + 8b = 23.25
- 2c + 13b = 21.55
<u>13 times the first equation minus 8 times the second to eliminate b and find c:</u>
- 13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55)
- 65c - 16c = 129.85
- 49c = 129.85
- c = 129.85/49
- c = 2.65
Each chocolate bar costs $2.65