You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right? In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6%. If you have enough money, will you have change? If you do not have enough money, how much more do you need?

Answer:

3, and -7

Step-by-step explanation:

First factor the trinomial

y=x2−4x−21

.

Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).

y = (x + 3)(x - 7)

Solving the 2 binomials, we get:

x = -3 and x = 7

We want to solve the given quadratic inequality.

The correct option is the second one, counting from the top.

So we need to solve:

x^2 - 4x - 21  ≤ 0

Because we have the graph, we can avoid all the algebra.

Notice that the equation must be equal to or smaller than zero, then we just need to find the values of x such that the graph intersects the x-axis or is below it.

By looking at the given graph, we can see that the given range goes from -3 to 7

Then the solution is:

-3 ≤ x ≤ 7

This would be represented with a number line going from -8 to 8, two closed circles (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is shaded.

The correct option is the second one.

If you want to learn more, you can read:

brainly.com/question/11897796

Answer:

88 cars

Step-by-step explanation:

8x-3x=5x

40 cars = 5x

divide both sides by 5

x=8 cars

8x+3x=11x

11x=88 cars altogether

Answer:

counted 27 raisins. If

there were 12

Answer:

4

Step-by-step explanation:

• To be perpendicular, the product of the slope is -1.
• (x,y) Substituting the coordinates.
• y= 1/3(x+3) + 1
• y= 1/3x +2

Answer:

your answer is correct

Step-by-step explanation:

the first one is the correct answer

Answer:

Step-by-step explanation:

Unless I'm reading this incorrectly, he throws 155 6's.

There are 1000 throws altogether (according to the table)

So the experimental probability is 155/1000 = 0.155

The answer is B. It is a bit tricky to read.

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let = average ounces of ice cream consumed by American per month

So, Null Hypothesis, : 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, : > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

                                 T.S.  =  ~

where, = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, test statistics  =    ~

                               =  2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.