Answer:
thank you!!
Step-by-step explanation:
Answer:
Step-by-step explanation
x1 = 2, y1 = -2 and m = 3/4
y - y1 = m(x - x1)
y - (-2) = 3/4(x - 2)
y + 2 = 3/4(x - 2)
Multiply each term by 4
4y + 8 = 3(x - 2)
4y + 8 = 3x - 6
4y = 3x - 6 - 8
4y = 3x - 14
Answer:
2p + q = 1
9p + 3q + 3 = 0
q = 1 - 2p
replace q = 1 - 2p into 9p + 3q + 3 = 0
9p + 3(1 - 2p) + 3 = 0
9p + 3 - 6p + 3 = 0
3p + 6 =0
3p = -6
p = -2
q = 1 - 2p
q = 1 -2(-2)
q = 1 + 4
q = 5
(-2 , 5)
there for the answer would be
{(-2, 5)}
Hopefully this was helpful <3 :3
Answer:
A and D. She can make 32 servings in total.
Step-by-step explanation:
This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.
5 1/8 + 4 7/8 + 6 = 16
This is choice A.
Then she must divide this by 1/2 because each serving is 1/2 pound.
16 ÷ 1/2 = 32
That is choice D.
Answer:
t = 2.52 seconds
Step-by-step explanation:
h=139-15t-16t^2
We want to know when the ball hits the ground
That would be when h=0
0 = 139-15t-16t^2
We can use the quadratic formula to find t
t = -b ± sqrt(b^2-4ac)
----------------------
2a
where a = -16 b = -15 and c = 139
t = -(-15) ± sqrt((-15)^2-4(-16)139)
----------------------
2(-16)
t = (15) ± sqrt(225+8896)
----------------------
-32
t = (15) ± sqrt(9121)
----------------------
-32
t = 15+ sqrt(9121) t = 15- sqrt(9121)
-------------------- or -------------------
-32 -32
-3.453247707 or 2.515747707
Since time cannot be negative
2.515747707
Round to the nearest hundredth
t = 2.52 seconds