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Ugo [173]
3 years ago
15

Solve the system by the substitution method x+3y=-2, y=-2x-24

Mathematics
1 answer:
n200080 [17]3 years ago
4 0
X + 3(-2x - 24) = -2
x - 6x - 72 = -2
-5x - 72 = -2
+ 72
-5x = 70
÷ -5
x = -14
Let me know if you have any questions!
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A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the
makkiz [27]

f(t)=h=-16t^2+20t+6



a=-16, b=20, c =6

Δ=b^2-4ac=20^2-4*(-16)*6=400+384=784

\sqrt{Δ}=\sqrt{784}=28

max:

p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}

max heigh: h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6

h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}

h=\frac{49}{4} at t=\frac{5}{8}s


will fall down at t:

t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5

t=1.5s

8 0
3 years ago
1.Given the function h(t) = t³ - 2t, find h(-5).​
Svetllana [295]

Answer:

-65

Step-by-step explanation:

h(t) = (-5)^3 -2(-5)

h(t) = -75 +10

h(t) = -65

7 0
2 years ago
On Saturday, Mark sold gallons of lemonade. On the same day, Regan sold as much
zhenek [66]

The quantity of lemonade Regan sold on Saturday is 11/4 gallons

<h3>How to solve fraction?</h3>

  • Mark = 2 7/8 gallons
  • Regan = 2/3 gallons as much as mark

Amount of lemonade Regan sold = 2 7/8 × 2/3

= 23/8 × 2/3

= 66 / 24

= 11/4 gallons

Complete question:

On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons did Regan sell?

Learn more about fraction:

brainly.com/question/14453317

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3 0
2 years ago
A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble.
san4es73 [151]

The answer is blue i just took the test.

7 0
3 years ago
Read 2 more answers
I have a question what is thirty three times four
alukav5142 [94]
Multiplication is like repeated addition! So add 33 four times.
  33
+33
-------
66
+33
-------
99
+33
------
132.
So your final answer is 132. Hope this helps! Have a happy holiday!
5 0
3 years ago
Read 2 more answers
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