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3 years ago

Which number is NOT in the solution set of x − 9 > 3? A) 11 B) 13 C) 15 D) 17

Mathematics

2 answers:

densk [106]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

x - 9 > 3 ( add 9 to both sides )

x > 12

13, 15 and 17 are all greater than 12

However, 11 is less than 12 and is not in the solution set → A

Vesna [10]3 years ago

3 0

Answer:

A) 11.

Step-by-step explanation:

x − 9 > 3 Add 9 to both sides:

x > 3 + 9

x > 12.

The only number in the list that is not greater than 12 is 11.

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Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Darina [25.2K]

Answer:

Step-by-step explanation:

The length is x2 while the width is x1.5

Therefore it cannot be a scaled copy

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2 years ago

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A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w

Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

$t = 5.0625$

Step-by-step explanation:

Given

$h(t)=-16t^2+80t+5$

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

$0=-16t^2+80t+5$

Reorder

$-16t^2+80t+5 = 0$

Using quadratic formula, we have:

$t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

Where

$a = -16$ $b =80$ $c = 5$

So, we have:

$t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}$

$t = \frac{-80\±\sqrt{6400 +320}}{-32}$

$t = \frac{-80\±\sqrt{6720}}{-32}$

$t = \frac{-80\±82.0}{-32}$

This gives:

$t = \frac{-80+82.0}{-32}$ or $t = \frac{-80-82.0}{-32}$

$t = \frac{2}{-32}$ or $t = \frac{-162}{-32}$

$t = -\frac{2}{32}$ or $t = \frac{162}{32}$

But time can not be negative.

So, we have:

$t = \frac{162}{32}$

$t = 5.0625$

Hence, time to hit the ground is 5.0625 seconds

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2 years ago

Which line is parallel to line r? line p line q line s line t

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Line Q??? You don't really have an image of it

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2 years ago

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2. Write the slope-intercept form of the equation of the line described.

yanalaym [24]

Answer:

y = -x + 1

Step-by-step explanation:

We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.

When two lines are parallel, they have the same slope, so the slope is going to be -1.

New equation: y = -x + b.

Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.

-3 = -4 + b

add 4 to both sides

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