Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
Answer:
(18, ∞)
Step-by-step explanation:
(18, ∞) is the only option that works. if we ignore the "greater than" sign, and just set the function equal to -12, we see that x-10=-12 would give us x=-2. If we plug in -3 for x, we get -13, which is less than -12. if we plug in -1 for x, we get -11, which is greater than -12. Therefore, with the function only having one critical point (zero), we know that every value greater than -2 is a solution. Technically, the full solution would be (-2, ∞). however, the only answer available meeting the criteria would be (18, ∞).
Answer:
Chips = 14
Pretzel = 14
Cookie = 8
Popcorn = 13
Question Mark = 222
Step-by-step explanation:
First Equation:
Chips + Pretzel + Chips = 42
Third Equation: Chips = Pretzel.
This means that
Pretzel + Pretzel + Pretzel = 42
Pretzel = 
Chips = Pretzel
Chips = 
Second Equation:
Cookie + Chips + Cookie = 30
We know that Chips = 14.
Cookie + 14 + Cookie = 30
Subtract 14 on both sides:
Cookie + Cookie = 16
Cookie = 
.
Fourth Equation:
Cookie + Cookie + Popcorn = 29
We know that Cookie = 8.
8 + 8 + Popcorn = 29
16 + Popcorn = 29
Subtract 16 on both sides:
Popcorn = 13.
Question Mark:
(Popcorn + Popcorn) 
Cookie + Chips = (13 + 13) 8 + 14 = 26 8 + 14 = 
The gradient formula is:
m = y2 - y1/ x2 - x1
> m = 5 - 1 /-2 -3
>> m = 4/-5x
