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allochka39001 [22]
3 years ago
5

The table of values models the quadratic function y = x2 + 7x – 9. What are the missing y-values in the table for the x-values?

Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0

Answer:

B

Step-by-step explanation:

-19, -15, -9, -1, 9

sleet_krkn [62]3 years ago
3 0

The answer is letter B.

y = x² +7x-9

y= (-2)²+7(-2)-9

y=4+-14-9

y=-19

y=(-1)²+7(-1)-9

y=1+-7-9

y=-6+-9

y= -15

y=(0)²+7(0)-9

y=0+0-9

y=-9

y=(1)²+7(1)-9

y=1+7-9

y=8-9

y= -1

y=(2)²+7(2)-9

y=4+14-9

y=18-9

y=9

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The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing
tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

T=2\pi \sqrt{\frac{L}{32} }

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8

Substitute T = 1.75 seconds and \pi = 3.14

L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485

Thus length of pendulum is 2.485 feet approximately

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4 years ago
Tabitha used 7 2/3 liters of water to completely fill 3 water bottles. If the water bottles are all the same size, how man liter
vlabodo [156]
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lbvjy [14]

Answer:

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Step-by-step explanation:

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Using pythagorean theorem, we can write:

Leg^2 + Leg^2 = Hypotenuse^2

Note: legs are the other 2 sides, x and x respectively

Now we can write:

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To simplify the surd, we can use the property shown below:

\sqrt{x*y}=\sqrt{x}  \sqrt{y}

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Now simplifying:

x=\sqrt{18} \\x=\sqrt{9*2}\\ x=\sqrt{9} \sqrt{2} \\x=3\sqrt{2}

4 0
3 years ago
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Hello from MrBillDoesMath!

Answer:

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Discussion:

See attachment for full detail.


Thank you,

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4 years ago
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