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diamong [38]
2 years ago
14

Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.

Mathematics
1 answer:
Elanso [62]2 years ago
6 0

Given:

The equation is:

4\log_2(2x)=x+4

The graph of the 4\log_2(2x) and x+4 are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of 4\log_2(2x) and x+4 intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions 4\log_2(2x) and x+4 are equal at x=1.24 and x=16.

So, the solutions of given equation are x=1.24 and x=16.

Therefore, the correct option is only F.

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Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply
Nady [450]

Answer:

Select all the lines with slope -\frac{1}{3}.

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

We plug in the coordinates to get:

m=\frac{4--2}{3-1}=\frac{6}{2}=3

All lines that are perpendicular to this line has slope -\frac{1}{3}.

3 0
3 years ago
Please help me out :)
arlik [135]

Answer:

\frac{\sqrt{17} }{7}

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sinx = \sqrt{1-cos^2x}

Note that (\frac{4\sqrt{2} }{7})² = \frac{32}{49}

sinΘ = \sqrt{1-(32/49)}

        = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{7}

5 0
3 years ago
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on e
Ivenika [448]

Answer:

B:yes because the paper slips were equally size and the bag was shaken

Step-by-step explanation:

Taking the test

6 0
2 years ago
The area is about? SOMONE HELP I’m so confused please please help
sergij07 [2.7K]

A= πr2

= 22/7×14×14

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5 0
2 years ago
A ball is released at a height of 8 inches to roll inside a half-cylinder it rolls to a height of 2 inches on the other side of
yuradex [85]

Answer:

C) 1/8 inch

Step-by-step explanation:

We are given the explicit formula

a_n=2(\frac{1}{4})^{n-1}, where n is the term number.

The third climb up would be the third term; this means we replace n with 3:

a_3=2(\frac{1}{4})^{3-1}\\\\a_3=2(\frac{1}{4})^2=2(\frac{1}{4}\times \frac{1}{4})=2(\frac{1}{16})=\frac{2}{16}=\frac{1}{8}

6 0
3 years ago
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