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allochka39001 [22]
3 years ago
5

Let f(×)=2× and g(×)=2^× Graph the fuctions on the same coordinate plane. What are the solutions to the equation f(×)=g(×) Enter

the answers in the boxes x= or x=

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

x=2, or x=1

Step-by-step explanation:

Given the equations as

f(x)=2x  and

g(x)=2^x

Using a graph tool the equations will intersect at points (2,4) and (1,2)

x =2 or x=1

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The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
Delicious77 [7]

The width of rectangle is 2\frac{1}{4}\ cm and length is 5\frac{5}{12}\ cm

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+3\frac{1}{6}=w+\frac{19}{6}

Perimeter of rectangle = 15\frac{1}{3}=\frac{46}{3}\ cm

Perimeter of rectangle = 2(Length + Width)

2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}

Subtracting \frac{19}{3} from both sides

4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9

Dividing both sides by 4

\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}

Therefore,

Width of rectangle = w = \frac{9}{4}=2\frac{1}{4} cm

Length of rectangle = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm

The width of rectangle is 2\frac{1}{4}\ cm and length is 5\frac{5}{12}\ cm

Keywords: perimeter, addition

Learn more about addition at:

  • brainly.com/question/6270221
  • brainly.com/question/6275033

#LearnwithBrainly

7 0
3 years ago
Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le
dimulka [17.4K]

Answer: The answer is (22, 15).

Step-by-step explanation:  Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

x-y=7,\\\\3x+2y=96.

Multiplying the first equation by 2 and adding to the second equation, we have

2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.

So,

y=x-7=22-7=15.

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

5 0
3 years ago
Read 2 more answers
What is the Greatest common factor of 18x^2 and 36x
adoni [48]

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So, we have to:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

It is observed that the GFC of both numbers is 18.

Then, the GFC of 18x ^ 2 and 36x is:

18x

Answer:

18x

6 0
3 years ago
A pet store has 2 gray rabbits one eight of the rabbits at the pet store are gray. How many rabbits does the pet store have?
Eduardwww [97]
2 = 1/8
2 x 8 = 16
16 = 8/8
Glad to Help!
3 0
3 years ago
Help! I don't understand this question.
yan [13]

Answer:

I help u to find x

sln

<COE+ <AOE+ < DOA=180(because straight angle)

x+46+90=180

x+136=180

x=44

the angle ×=44

8 0
3 years ago
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