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Salsk061 [2.6K]
3 years ago
11

A football team receives a 5-yard penalty on one play and a 10-yard penalty on the next. Write a number sentence to represent th

is situation.
Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer: Total penalty =  -5yd + (-10yd) =  -15yd

Step-by-step explanation:

A number sentence is any type of equation that represents something:

First, the team receives a 5 yd penalty.

-5yd

Then the team receives another penalty, this time of 10 yd, then we can write the total penalty as the sum of the two penalties.

Total penalty =  -5yd + (-10yd) =  -15yd

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What is the vertex of the equation, y= -3x^2+2x-7?
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A

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = - 3x² + 2x - 7 is in standard form

with a = - 3, b = 2 and c = - 7, hence

x_{vertex} = - \frac{2}{-6} = \frac{1}{3}

Substitute this value into the equation for y-coordinate

y = - 3 (\frac{1}{3})² + 2 ( \frac{1}{3}) - 7

  = - \frac{1}{3} + \frac{2}{3} - \frac{21}{3} = - \frac{20}{3}

vertex = ( \frac{1}{3}, - \frac{20}{3}) → A



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3 years ago
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9 more games

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180x.4=72 wins for the blue team

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4 Jennifer weighs 99 lb. Her weight is
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3 years ago
Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the volume of the cylinder if the radius i
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Answer:

250π

1000π

Step-by-step explanation:

(refer to attached)

volume of cylinder is given by:

V = π r²h,

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Given r = 5 and h = 10, hence

V = π r²h

V = π (5)²(10)

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V = 250π  (answer)

For the second case, r = 10 cm

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