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____ [38]
3 years ago
14

A grasshopper jumps from the ground. The path of the grasshopper is modeled by the equation y=−0.5x2+8x where x is the horizonta

l distance the grasshopper travels and y is its height.
Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0
Please use " ^ " to indicate exponentiation:  <span>y=−0.5x^2+8x 

Examining this function, we see that its graph is a vertical parabola opening down.

You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path.  To do this, find the vertex:  Find the x value defined by 

x = -b/(2a).  Here, a= -0.5 and b= 8.  Thus, the vertex is at x = -8/(2[-0.5]), or 

x -8/(-1) = 8 units.  The corresponding y value is then 

y =  </span><span>−0.5*8^2+8(8)  = -0.5(64) + 64, or 32 units.</span>
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4 0
3 years ago
1) 3(3x - 4) = -2(1 – 4x)
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Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
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2
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−
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x
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(
3
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(
3
x
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+
(
3
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−
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(
1
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+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
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6 0
3 years ago
Read 2 more answers
PLZ HELP ASAP
svet-max [94.6K]
Answer is D:
e + 5 = 3e - 11

2e = 16
e = 8

Ella is 8 years old
Jamie is 8+5 = 13 years old
6 0
3 years ago
Which shape is a rectangle
Nezavi [6.7K]

Answer:

Top left.

Step-by-step explanation:

Definition of a rectangle:

A four sided figure with 90 degree angles. The opposing side pairs are congruent with each other. It's the equivalent of a modified, upgraded parallelogram.

Now, the square is the answer since it fits all of the criteria of the rectangle, with the addition of having four congruent sides.

8 0
2 years ago
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