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2 years ago

If f(x) = 2x and g(x) = x - 3, what is the value of f(g(5))?

Mathematics

1 answer:

Vesna [10]2 years ago

7 0

Answer:

g(5)=5-3=2

f(2)=2×2=4

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The radius of a circle is 1 foot. What is the length of a 45 degree arc

Elodia [21]

Circumference = 2 x PI x r
circumference = 3.14 x 2 x 12 inches = 75.36 inches

45/360 = 0.125

75.36 * 0.125 = 9.42 inches

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2 years ago

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AnnZ [28]

Answer:

blue green and yellow

Step-by-step explanation:

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2 years ago

I thought of a number, added 4 5/7 to it, and got the number equal to the original one times 12. What was the original number?

Vilka [71]

Answer:

x=3/7

Step-by-step explanation:

x+4 5/7 = 12x

4 5/7 = 11x

x = 3/7

6 0

2 years ago

Read 2 more answers

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

2 years ago

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

nexus9112 [7]

Answer:

-1 3/4

Step-by-step explanation:

3/4 + (-2 1/2)

3/4 - 2

-1 3/4

5 0

2 years ago