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Artist 52 [7]
3 years ago
10

F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

Step-by-step explanation:

fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6

gof(x)=g(f(x))=g(3x) =3x+2

gof(2)=3⋅2+2 =6+2 =8

fog(2)=3⋅(2+2) =3*2+6=12

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Given gif and GHF, write three proportions involving geometric mean.<br>​
almond37 [142]

Answer:

\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle (\angle G=90\°) to the hypotenuse of the triangle, is:

GF=h

Then, based on the Altitude Rule, you can set up the following proportion:

\frac{z}{h}=\frac{h}{y}

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

6 0
3 years ago
Read 2 more answers
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equati
Alenkasestr [34]
8x+6=54
    -6   -6
    8x=48   
8x /8=48/8
      x=6 the bracelets were $6 a piece

5 0
3 years ago
Read 2 more answers
A company that produces dog food claims that its bags contain 11 kg of food. From
andriy [413]

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

H_{0}:μ≠11

H_{1}:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/\sqrt{n}

We will use s/\sqrt{n}=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at brainly.com/question/6589776

#SPJ1

3 0
1 year ago
A moving van travels 560 miles to reach a new house. The drivers stop to rest after traveling 75% of the total distance. How man
dexar [7]

Answer:

the driver stopped when they had traveled 420 miles

Step-by-step explanation:

hope this helps,

5 0
2 years ago
The reference angle for an angle whose measure is -440 is _____. 60 80 100
Llana [10]
80 is correct. 
-440+360 = 80
8 0
3 years ago
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