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Diano4ka-milaya [45]

2 years ago

10

Huddson has practiced a 360-back flip for months. This week, he did it perfectly 24 out of 54 times. At this rate, how many time

s out of 9 attempts was the flip perfect?

1 answer:

iris [78.8K]2 years ago

5 0

Let x = perfect flips out of nine
$\frac{24}{54} = \frac{x}{9}$
$54x = 216$
$x = 4$
4 flips

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1. Which point on the axis satisfies the inequality y

grigory [225]

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1) Point $(1,0)$ -----> see the attached figure N $1$

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3) I quadrant

4) $(1,1)$

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Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

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The point $(1,0)$ is included in the shaded area

Part 2)

we have

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see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

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Part 3)

we have

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$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

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the solution of the inequality A and the inequality B is the first quadrant

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we know that

If a ordered pair is a solution of the inequality

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the ordered pair must be satisfy the inequality

we're going to verify all the cases

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Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

<u>case B)</u> point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

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therefore

the point $(2,1)$ is not a solution of the inequality

<u>case C)</u> point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

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therefore

the point $(3,0)$ is not a solution of the inequality

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Substitute the value of x and y in the inequality

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the equation of the line is $y=-5x+3$

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2 years ago

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