Answer:
x=105÷7
Step-by-step explanation:
You have to split the candy with 7 people and you can't split people
Answer:
C. CA
Step-by-step explanation:
The side that corresponds to angle ABC, is the side that is opposite to the vertex B.
From the figure given, side CA is directly opposite to vertex B.
Therefore, CA corresponds to angle ABC.
You have to understand how piecewise functions first
I hope you do because I won't be explaining it here
1.
if it is continiuous at x=1 then the part of the function that approaches 1 from the left is the same value
so we have f(x)=3-x for x<1, so evaluate it for x=1,
we would get 3-1=2
so
if a=2 and b=3
f(x)=2x²+3x
for x=1, we get 2+3=5
it approaches 2 from the left but equals 5
2≠5
so it is not continuous because it doesn't approach the same value at x=1
2.
alright
so we established that it should approach 2 because we had the f(x)=3-x
so
f(1)=2=ax²+bx
2=a+b
the relationship is 2=a+b
3.
same as before, but use the other function, the one that is defined at x≥2
5x-10, 5(2)-10, 10-10, 0
it approaches 0
so
we must find one such that f(x)=0 for x=2 with the ax²+bx
0=a(2)²+b(2)
0=4a+2b
if we minus 2b both sides
-2b=4a
divide by 2
-b=2a
add b both sides
0=2a+b
4.
2=a+b
0=2a+b
2=a+b
minus b both sides
2-b=a
subsitute
0=2a+b
0=2(2-b)+b
0=4-2b+b
0=4-b
b=4
sub back
2-b=a
2-4=a
-2=a
a=-2
b=4
5.
graph f(x)=-2x²+4x from x=1 to x=2 and put a closed dot at (1,2) and an open dot at (2,0)
Equation: (1 2/3)(2 1/3) = x
Answer: 3 8/9 cups
Step-by-step explanation:
x represents the amount of flour she will need in cups.
To solve, convert the mixed numbers to improper fractions and multiply...
1 2/3 becomes 5/3
2 1/3 becomes 7/3
Now we have
(5/3)(7/3) = x
35/9 = x
35/9 is 3 8/9 as a mixed number