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Ne4ueva [31]
3 years ago
15

X+5=2x+2 what is x solve the equation

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

3

Step-by-step explanation:

X+5=2x+2

Subtract 2 from both sides:

X+3=2x

Subtract x from both sides

3=x

x=3

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Which of these statements is true for f(x)=(1/10)^x
lana66690 [7]

Step-by-step explanation:

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Analyzing option A)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Putting x = 1 in the function

f\left(1\right)=\:\left(\frac{1}{10}\right)^1

f\left(1\right)=\:\left\frac{1}{10}\right

So, it is TRUE that when  x = 1 then the out put will be f\left(1\right)=\:\left\frac{1}{10}\right

Therefore, the statement that '' The graph contains \left(1,\:\frac{1}{10}\right)  '' is TRUE.

Analyzing option B)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The range of the function is the set of values of the dependent variable for which a function is defined.

\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

f\left(x\right)>0

Thus,

\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, the statement that ''The range of f(x) is y > \frac{1}{10} " is FALSE

Analyzing option C)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is -\infty \:

Thus,

\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Therefore, the statement that ''The domain of f(x) is x>0 '' is FALSE.

Analyzing option D)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0
4 years ago
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3. The product of three numbers geometric progression is l, their sum is -7÷3 . Find the numbers​
Yuki888 [10]

Answer:

below

Step-by-step explanation:

hope it is well understood

3 0
3 years ago
The band boosters collected $2400 from the sale of hamburgers and hotdogs.The amount earned from hamburgers and hotdogs were equ
mina [271]
400 Hamburgers
600 Hot dogs

Divide 2,400 by two because that's how many items they sold. You'll get 1,200.

Divide 1,200 by 3 because that's how much a hamburger costs and you'll end up with 400

Divide 1,200 by 2 because that's how much a hot dog costs and you'l end up with 600

To check, multiply 400x3 and 600x2

Then add the sums together- 1,200+1,200= 2,400
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3 years ago
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What are the consecutive numbers that follow the number 686
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Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

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On a cold days, Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah double the re
Svetach [21]

Answer:

16 tablespoons and 4 tablespoon

Step-by-step explanation:

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3 years ago
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