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vredina [299]
3 years ago
15

Point B (-1, -2) is the midpoint of line segment AC. Point A is located at (4,4). Find

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

(-5, -8)

Step-by-step explanation:

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How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x
Lena [83]

9514 1404 393

Answer:

  the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

__

<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

5 0
2 years ago
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
3 years ago
Read 2 more answers
Find the 7th term of the sequence
NikAS [45]

Answer:

3rd option, 4096

Step-by-step explanation:

4⁰ = 1, 1st term

4¹ = 4, 2nd term

4² = 16, 3rd term

.

.

.

4⁶ = 4096, 7th term

Answered by GAUTHMATH

8 0
3 years ago
Help please!! Don’t understand! 6th grade math
Agata [3.3K]

Answer:

4. is 6.6

Step-by-step explanation:

I hope this helps

3 0
3 years ago
Creating a One-Variable Equation to Model and Solve a Problem
guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company  charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

43 + 7h = 64

Solving the equation, we get,

43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3

Thus, the hourly fee is $3 per hour.

Equation:

C(x) = 43 + 3x

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0
3 years ago
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