Answer:
26.6666667 Apples
Step-by-step explanation:
Since 40/3 = 13.3 repeating, 13.3 repeating is 1/3 of the apples. Katie wants 2/3, so multiply 13.3 repeating by 2, to get 26.6 repeating
you may need to round up (27) or down (26) depending on your teachers instructions
Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
Step-by-step explanation:
1. f(x) = 12x + 1
f(-2) = 12(-2) + 1 = -23
f(0) = 12(0) + 1 = 1
f(3) = 12(3) + 1 = 37
2. p(x) = -8x - 2
p(-2) = -8(-2) - 2 = 14
p(0) = -8(0) - 2 = -2
p(3) = -8(3) - 2 = -26
3. m(x) = -6.5x
m(-2) = -6.5(-2) = 13
m(0) = -6.5(0) = 0
m(3) = -6.5(3) = -19.5
4. s(x) = ⅖x + 3
s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5
s(0) = ⅖(0) + 3 = 3
s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5
5. h(x) = ¾x - 6
h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4
h(0) = ¾(0) - 6 = -6
h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4
-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
-3(2)+4(-3)=-18
-6+(-12)=-18
-18=-18
2(2)-(-3)=7
4+3=7
7=7
C.
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
