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3 years ago

If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)? -

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

Answer:

This is so easy

Let me explain:

first lets find out (f+g)(x)=-x+3x+5+x^2+2x=

x^2+4x+5 this is the equation of a parabola because we have x^2

so only the first graph shows us a parabola

which remains the right one.

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Use a factor tree to find the GCF of 32 and 80.

valentinak56 [21]

Answer:

GCF of 32 and 80 is 16

Step-by-step explanation:

factors of 32 = 1, 2, 4, 8, 16, 32

factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

8 0

2 years ago

Hey gouys I need help on this to plz help mee

Kaylis [27]

Answer:

d. 3√6 = 7.348

Step-by-step explanation:

1. simplify each expression

a. √150 / 2 = 6.124

b. π + 4 = 7.142

c. 2π = 6.283

d. 3√6 = 7.348

the largest number will be the closest to 8. therefore, point W is expression D.

7 0

3 years ago

Which function has a domain of (-∞, ∞) and a range of (-3, ∞)?

shtirl [24]

Answer:

Step-by-step explanation:

The function that will have the domain $(\infty, \infty)$ and a range of $(-3, \infty)$ is the

function in option d.) $f(x) = e^x - 3$

5 0

3 years ago

Carlos has 24 balls of different colors: yellow, red, green, and blue. 17 balls are not red,10 balls are neither yellow nor blue

olga55 [171]

Answer:

10 green

Step-by-step explanation:

24 total balls. 17 Not red, so 24-17=7. 7 Red balls. That leaves 17 balls. 10 of them are neither yellow nor blue, and since the amount of red balls has been figured out, we do not need to account for them. 17 balls - 10 not yellow or blue equals 7 balls that can be yellow or blue. 17 balls left, minus the 7 yellow or blue balls equals 10.

6 0

2 years ago

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

3 years ago