How do addition facts help you subtract

I can not find the right answer for in math 7a2-a2+16

dimaraw [331]

7a ^2 - a^2 + 16

7a^2 - a^2 + 16 = 6a^2 + 16

7a^2 - a^2 + 16

6a^2 + 16

6 0

3 years ago

the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function

galben [10]

Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.

Step 1: Determine the ordered pair

To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).

To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).

Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.

Step 2: Determine how to find slope

The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.

To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.

Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!

Step 3: Write out final answer

Now that we eliminated all the invalid options, let’s write out our final option as our answer.

Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.

Hope this helps! Comment below for more questions.

8 0

3 years ago

Find all solutions of each equation on the interval 0 ≤ x<2π.

Aleksandr [31]

Answer:

$x = 0 \: or \:x = \pi$

Step-by-step explanation:

The given equation is

$\tan^{2} (x) \sec^{2} (x) + \sec^{2} (x) - \tan^{2} (x) = 2$

Subtract 2 from both sides and factor by grouping to get:

$\sec^{2} (x)(\tan^{2} (x) + 2) -1( \tan^{2} (x) + 2)$

$(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0$

By the zero product principle:

$(\tan^{2} (x) + 2) = 0 \: or \: (\sec^{2} (x) - 1) = 0$

$(\tan^{2} (x) = - 2 \: or \: \sec^{2} (x) = 1$

When

$\sec^{2} (x) = 1 \implies\cos^{2} (x) = 1$

$\implies \: \cos(x) = \pm1$

This implies

$x = 0 \: or \:x = \pi$

When

${ \tan }^{2} (x) = - 2$

We have

$\tan(x) = \pm \sqrt{ - 2}$

hence x is not defined for all real numbers

6 0

3 years ago

Read 2 more answers

AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED

Blizzard [7]

Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

n = 15, p = 0.85.

The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874$

0.0874 = 8.74% probability that not enough seats will be available.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0

1 year ago

Tyler and Gabe went to the arcade and played the same two games. Tyler played 5 rounds of one game and two rounds of the other f

zhuklara [117]

Answer:

Tyler: 5x + 2y = 24

Gabe = 4x + 4y = 30

x = 3

y = 4.5

Step-by-step explanation:

4y = 30 - 4x

y = 7.5 - x

5x + 2(7.5 - x) = 24

3x + 15 = 24

x = 3

y = 7.5 - 3

y = 4.5

7 0

2 years ago