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Sliva [168]
3 years ago
11

The opening course of the Dog Olympics involves the dogs running over a parabolic

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

x=13 feet

Step-by-step explanation:

A ramp is between 1.96 and 1.80 feet, we will take 1.96

If R(x) =-0.05x+0.8x and R(x)=1.96 feet: we apply quadratic formula; \frac{-b+-\sqrt{b^{2} -4ac} }{2a}, where a=-0.05, b=0.8 and c=-1.96, so

\frac{-0.8+-\sqrt{0.8^{2}-4*(-0.05)*(-1.96) } }{2*(-0.05)}, solving x_{1}=13 ; x_{2} = 3,02; we take the highest value of x, x=13

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What is the value of b(10) when b(x)=|3-x|+1 ?
vredina [299]
B(x) = |3-x|+1

b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.

b(10) = |3-10|+1 = 7 + 1 = 8.

So the value of b(10) when b(x)=|3-x|+1 is 8.

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7 0
3 years ago
3(6+3(8*5-17) please help me
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Equation:

3(6 + 3) * (8 * 5 - 17)

Follow the rules of PEMDAS and solve:

(18 + 9) * (40 -17)

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4 years ago
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My new headset was $99.50 but it was on sale with 30% off. what will i have to pay for it?
DIA [1.3K]

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Find the multiplier:

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A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the
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Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

Volume of small cube, V_1=(6y)^3=216y^3

Volume of lager cube,

V_2=(4x^2)^3\\\\=64x^6

Difference in the volume of the cubes,

\Delta V=V_2-V_1\\\\=64x^6-216y^3

We can simplify the above expression :

\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)

So, the difference in the volumes of the cubes is (4x^2-6y)(16x^4+24x^2y+36y^2).

3 0
3 years ago
Mark paid $8.54 for pizza. He now has $17.75. How much money did he have before buying the pizza. ​
defon

Answer:

Mark had $26.29 before buying the pizza.

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$8.54 + $17.75 = $26.29

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