All categories

2 years ago

Solve each of the following equations. Show its set on a number line.

Mathematics

1 answer:

natta225 [31]2 years ago

4 0

Answer:

The solution set is all real numbers.

Step-by-step explanation:

Solve this equation, we have:

$4x - 4/mleft(x + 1/mright) = 4 \\ (4x - 4x - 4) = 4 \\ ( - 4) = 4 \\ 4 = 4$

The final sentence is always true, The solution set is all real numbers.

Showing it in the number line in blue, we have:

You might be interested in

Please answer with a detailed explanation.

Alecsey [184]

From a tee box that is 6 yards above the ground, a golfer hit a ball. The Domain of the function is [0,230].

Given that,

In the picture there is a question with a graph.

From a tee box that is 6 yards above the ground, a golfer hit a ball. The graph displays the height of the golf ball above the ground in yards as a quadratic function of x, the golf ball's horizontal distance from the box in yards.

We have to find the domain of the function in the situation.

The domain is nothing but All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The domain of a graph is every value in the graph, from left to right. The graph's entire range, from lower to higher numbers, represents the range.

Therefore, the Domain of the function is [0,230].

To learn more about domain visit:

brainly.com/question/28135761

#SPJ1

5 0

11 months ago

a cube has a surface area of 150 square inches what is the area , in square inches, of one face of the cube justify your answer

natima [27]

Since you have the whole surface area of the cube, you just divide 150 by 6, for each face

So the answer is 25 for one face of the cube.

6 0

2 years ago

Read 2 more answers

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$