The problem is:
y = -2(x-3)^2

Please help me find the;
Vertex,
X-Intercepts,
and the Axis of Symmetry

Alg 2, Intercept, Vertex form.

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30  

A)  5(-3) -3(5) < 30

   -15 -15 < 30

    -30 < 30   This is true

B)  5(0) -3(0) < 30

     0 - 0 < 30

     0< 30     This is true

C)  5(-5) - 3(3) < 30

    -25 - 9  < 30

      -34 < 30    This is also true

D) 5(3) - 3(-5) < 30  

   15 + 15 < 30

  30 < 30         This is not true because 30 is not greater that 30

Answer:

55°

Step-by-step explanation:

total angle of a triangle is 180°

we are given 2 angles

85+40+ x = 180

180-125 = 55° (x)

each scarf is approximately 68.4 inches long.

To find the length of each scarf, we can divide the total length by the number of scarves.

Total length of the scarves = 39.9 ft

Number of scarves = 7

To convert the length from feet to inches, we can use the conversion factor: 1 ft = 12 inches.

Length of each scarf = (Total length of the scarves) / (Number of scarves)

                   = 39.9 ft / 7

                   ≈ 5.7 ft

Now, let's convert the length from feet to inches:

Length of each scarf in inches = (Length of each scarf in feet) * (Conversion factor)

                             = 5.7 ft * 12 inches/ft

                             = 68.4 inches

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the point that is located 8.5 units from 8 on the given number line is located at 16.5.

To find the point that is located 8.5 units from 8 on the given number line, we first need to determine whether the point is to the left or right of 8. We know that 8.5 is positive, so it must be to the right of 8.

Next, we can add 8.5 to 8 to find the distance from 0:

8 + 8.5 = 16.5

Therefore, the point that is located 8.5 units from 8 on the given number line is located at 16.5.

To visualize this, we can mark a point at 8 on the number line, and then measure 8.5 units to the right. The point at 16.5 will be 8.5 units away from 8, and we can confirm this by measuring the distance between the two points on the number line.

It is important to note that the number line is a visual representation of the real number system, where each point corresponds to a unique number. In this case, the point located 8.5 units from 8 on the number line corresponds to the number 16.5.

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Answer:

Sty = -2x + 6, where x = 0 and y = 0.

Graph the system to show all possible

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Answer:

1st: 3*root6 + 5

2nd: 35*root2 + 115

3rd: 24*root2 - 20*root6 + 15*root3 - 18

4th: 17*root6 - 38

5th: 13*root10 - 42

Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

(a + b) * (c + d) = ac + ad + bc + bd

So simplifying each expression, we have:

1st.

(2 root 2 + root 3 ) ( 2 root 3 - root 2)

= 4*root6 - 2*2 + 2*3 - root6

= 3*root6 - 4 + 9

= 3*root6 + 5

2nd.

(root 5 + 2 root 10) (3 root 5 + root 10)

= 3 * 5 + root50 + 6*root50 + 2*10

= 15 + 5*root2 + 30*root2 + 100

= 35*root2 + 115

3rd.

(4 root 6 - 3 root 3) (2 root 3 - 5)

= 8*root18 - 20*root6 - 6*3 + 15root3

= 24*root2 - 20*root6 + 15*root3 - 18

4rd.

(6 root 3 - 5 root 2 ) (2 root 2 - root 3)

= 12*root6 - 6*3 - 10*2 + 5*root6

= 17*root6 - 18 - 20

= 17*root6 - 38

5th.

(root 10 - 3 ) ( 4 - 3 root 10)

= 4*root10 - 3*10 - 12 + 9*root10

= 13*root10 - 30 - 12

= 13*root10 - 42

The required selling price of the game after two discount is $63.75.

The term discount designates a sum or a percentage subtracted from an item's usual selling price. Make sure you need all of the items you plan to get before waiting until after the holiday to make a purchase. A discount is a decrease in the cost of a commodity or service. ​

Discount = 25%,

Additional discount = 15%

Then,

Net discount is = 36.25%

We have,

Price of game = $100

Discount amount = 36.25% of $100 = $36.25

So, the selling price of the game after discount = $100 - $36.25

= $63.75

Thus, required selling price of the game is $63.75.

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The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

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Answer:

See explanation

Step-by-step explanation:

The given options are not properly formatted; so, I will give a general explanation instead

An equation is said to be radical if its variable is in a radicand sign.

For instance, the following equation is a radical;

\(\sqrt x + 2 = 4\)

In the above equation, x is the variable, and it is in \(\sqrt\) sign

However, the following equation is not a radical equation

\(x + \sqrt 4 = 2\)

Because the variable is not in a radicand

Between -1.96 and +1.96 (symmetrically distributed around the mean), approximately 95% of all possible Z values will be contained.

To determine the range of Z values that will contain a certain percentage of all possible Z values, we need to refer to the standard normal distribution and its associated z-scores.

In the standard normal distribution, the mean is 0 and the standard deviation is 1. The percentage of all possible Z values contained between two specific z-scores can be determined by looking at the corresponding areas under the standard normal curve.

For example, if we want to find the range of Z values that will contain 95% of all possible Z values, we can look at the two z-scores that correspond to the area of 2.5% on each tail of the distribution. These z-scores are approximately -1.96 and +1.96.

Therefore, between -1.96 and +1.96 (symmetrically distributed around the mean of 0), approximately 95% of all possible Z values will be contained.

It's important to note that the exact values may vary depending on the level of precision desired, but in general, the range of ±1.96 provides a good approximation for a 95% confidence interval in the standard normal distribution.

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Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

Answer:

36

Step-by-step explanation:

if you have one board and divde it by 3 you get 3 equally sized boards

and if you cut all 12 of them you get 36 equally sized boards.

Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

B

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is

\(\frac{32}{x}\) = \(\frac{20}{30}\) = \(\frac{2}{3}\) ( cross- multiply )

2x = 3 × 32 = 96 ( divide both sides by 2 )

x = 48

Answer:

13 ft

Step-by-step explanation:

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

The proof to show that at least 80% of students who study both art and science, also study math is illustrated below.

From the information given, it was stated that at least 80% of students study both math and art and that at least 80% of students study both math and science.

Therefore, about (100 - 80) 20% doesn't study the combination of both subjects.

Here, those students who study both art and science, and also study math will be:

= 100% - 20%

= 80%

Therefore, at least 80% study the subjects.

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Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

\(\begin{array}{llll} \textit{Logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \ln\left[ z(z-1)^9 \right]\implies \ln(z)~~ + ~~\ln[(z-1)^9]\implies \ln(z)~~ + ~~9\ln[(z-1)]\)

Surface area of the cylinder would be 231.1 sq ft.

How do you find a surface area of a cylinder?

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

The surface area of a cylinder with height h and radius r can be found using the formula:

2πr^2 + 2πrh

Given a cylinder with height 6 ft and radius 7 ft, the surface area is:

2π * 7^2 + 2π * 7 * 6 = 147.1 + 84 = 231.1 sq ft (rounded to the nearest tenth).

Therefore, Surface area of the cylinder would be 231.1 sq ft.

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Answer:

1(-10-6v)

-10-6v

I think that is the answer for that question

Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Two lines intersection point gives one solution only

One single line denotes to infinite solutions

Option C is correct

Answer:

a nonagon

Step-by-step explanation:

The probability of observing the expected value for the distribution of a binomial (100, 0.20) is 0.20 (or 20%).

The probability of observing the expected value for a binomial distribution can be calculated using the following formula:

Probability = (n C r) p^r (1-p)^(n-r)

where n = number of trials,

r = expected value,

p = probability of success

For the given distribution, binomial (100, 0.20), we know that n = 100 and p = 0.20.

The expected value is given by:E(X) = np = 100 * 0.20 = 20

So, to find the probability of observing the expected value of 20, we need to plug in the values of n, r, and p into the formula:

Probability = (n C r) p^r (1-p)^(n-r)=

(100 C 20) (0.20)^20 (0.80)^80≈

0.1875 ≈ 0.20 (rounded to two decimal places)

Therefore, the probability of observing the expected value for the distribution of binomial (100, 0.20) is approximately 0.20 (or 20%).

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The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

Kindly find attached graph below.

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On average, you can expect to win $20 over 1000 tosses. The approximate likelihood of losing your shirt is 0.05 or 5%.

To determine how much money you will win on average and the likelihood of losing your shirt in this scenario, we can calculate the expected value and probability of different outcomes.

Let's break down the calculations step by step:

Probability of winning each toss:

The coin comes up heads 51% of the time, so the probability of winning each toss is 0.51.

Probability of losing each toss:

The coin comes up tails 49% of the time, so the probability of losing each toss is 0.49.

Expected value of each toss:

When you win a toss, you gain $1.

When you lose a toss, you lose $1.

The expected value of each toss is calculated as follows:

Expected value = (Probability of winning × Amount won) + (Probability of losing × Amount lost)

Expected value = (0.51 × $1) + (0.49 × -$1)

Expected value = $0.51 - $0.49

Expected value = $0.02

Expected value over 1000 tosses:

Since each toss is independent, the expected value over 1000 tosses is simply the expected value of each toss multiplied by the number of tosses:

Expected value over 1000 tosses = Expected value of each toss × Number of tosses

Expected value over 1000 tosses = $0.02 × 1000

Expected value over 1000 tosses = $20

Therefore, on average, you can expect to win $20 over 1000 tosses.

To determine the likelihood of losing your shirt, we need to calculate the probability of ending exactly even after 1000 tosses.

The probability of getting exactly k heads in n tosses can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

In this case, n = 1000, k = 500 (since we want to end up exactly even), and p = 0.51.

Using this formula, we can calculate the probability of ending exactly even after 1000 tosses:

P(X = 500) = (1000 choose 500) * 0.51^500 * 0.49^500

Calculating this probability may require a large number of calculations and can be time-consuming. However, we can approximate the probability using statistical methods such as the normal distribution approximation.

Assuming the number of tosses is large enough, we can approximate the binomial distribution as a normal distribution with mean np and standard deviation sqrt(np(1-p)). In this case, np = 1000 * 0.51 = 510 and sqrt(np(1-p)) = sqrt(1000 * 0.51 * 0.49) = 15.92.

Using the normal distribution, we can estimate the probability of ending exactly even by calculating the probability of getting a value within a range around the mean. In this case, since we want exactly 500 heads, the range would be from 499.5 to 500.5.

We can use a statistical calculator or software to find the probability of getting a value within this range using the normal distribution with mean 510 and standard deviation 15.92. Let's assume this probability is approximately 0.05.

Therefore, the approximate likelihood of losing your shirt is 0.05 or 5%.

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