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2 years ago

Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain.

Mathematics

2 answers:

GaryK [48]2 years ago

7 0

The spot on correct answer for this is....

Identify the system of equations that can be graphed to solve the problem.

Use the change of base formula.

Determine that the graphs of the two equations do not intersect.

Determine that Elsa is correct; the equation has no solution.

Vlad [161]2 years ago

3 0

Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.

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A data set can have more than one mode

juin [17]

Answer:

Yes! Look at the explanation below:

Step-by-step explanation:

When a data set have 2 mode, it is called a bimodal.

If the data set have more than 2 modes, it is called multimodal.

I will give you an example:

10, 34, 34, 56, 56, 78

In this case there are two modes, which is correct.

Sometimes, if all the data is the same number:

34,34,34,34,34,34

Then it has no mode.

To conclude, a data set can have more than one mode.

4 0

2 years ago

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.

The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.

$\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}$

In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.

$\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}$

$\frac{3 +/- \sqrt{9 + 160}}{-4}$

$\frac{3 +/- 13}}{4}$

Now you separate and get the two separate answers. First the positive.

$\frac{3 + 13}}{4}$

$\frac{16}}{4}$

Now the negative

$\frac{3 - 13}}{4}$

$\frac{-10}}{4}$

-2.5

5 0

2 years ago

Read 2 more answers

A dvd normally costs $15. It is reduced to $9.75 in a sale. How much is the percentage reduction

Ivahew [28]

Answer:

You are paying 65% of the original price.

Step-by-step explanation:

So what I did is trial and error by 5 so I started with 75% and then 70% and so on until 65%

5 0

2 years ago

We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs

mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0

1 year ago

The square shown has a perimeter of 32 units. The square is rotated about line k.

Bad White [126]

A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

$(4) sidelength = 32, sidelength = \frac{32}{4} = 8.$

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder $= 2\pi r = (2) (3.1415)(8) = 50.264.$

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

4 0

2 years ago

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