Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.

Answer:

y=3/2x

Step-by-step explanation:

The equation of the required line as per slope-intercept form is 3x - 2y = 0.

The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:  

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

Therefore, the slope of a line that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.

The line passes through the point (0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the equation of the straight line is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

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Answer:

The probability the person will survive the bypass surgery and that the heart damage will heal is about 28%

Step-by-step explanation:

(7/10)*(4/10)*100=28

To solve for probability of situations like this you have to multiply the fractional values of the two percentages and multiply by 100 to get the new percentage.

Using conditional probability, it is found that there is a 0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

Conditional Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The probability of both is [tex]P(A \cap B)[/tex], then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)P(A)[/tex]

[tex]P(A \cap B) = 0.4(0.7)[/tex]

[tex]P(A \cap B) = 0.28[/tex]

0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

A similar problem is given at https://brainly.com/question/24161830

Answer:

p = q

Step-by-step explanation:

Answer:

the answer is q=1

Step-by-step explanation:

I did the quiz

Answer:

9 > 10

Step-by-step explanation:

90 = 9

100 = 10

answer = 9.10

Answer:

Step-by-step explanation:

Given the height of the ball expressed as:

h(t) = −16t^2 + 64t + 80

The ball hits the ground the when h(t) = 0

Substitute h(t) = 0 and find t as shown:

h(t) = −16t^2 + 64t + 80

0 = −16t^2 + 64t + 80

−16t^2 + 64t + 80 = 0

Divide throigh by -16

t^2-4t-5 = 0

t^2-5t+t-5 = 0

t(t-5)+1(t-5) = 0

(t+1)(t-5)= 0

t+1 = 0 and t - 5 = 0

t = -1 and t = 5

time can not be negative:

t = 5seconds

Hence it will take 5 secs before the ball his the ground

Solving a quadratic equation, it is found that the ball hits the ground after 5 seconds.

The height of a ball after t seconds is given by:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

It hits the ground at the values of t for which:

[tex]h(t) = 0[/tex]

Then

[tex]-16t^2 + 64t + 80 = 0[/tex]

Simplifying by -16:

[tex]t^2 - 4t - 5 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = -4, c = -5[/tex].

Then:

[tex]\Delta = (-4)^2 - 4(1)(-5) = 36[/tex]

[tex]x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5[/tex]

[tex]x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1[/tex]  

We want the positive value, thus, the ball hits the ground after 5 seconds.

A similar problem is given at https://brainly.com/question/24764843

Answer:

-4x+2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 divided by anything is 0

Answer:

28mi

Step-by-step explanation:

The perimeter of a figure is the total length of its outline, so a sum of all its lengths.

In the diagram we are given two of them, both 7, but not the other two.

Luckily these can be easily worked out.

Since this is a square figure (all angles 90-degrees), all parallel sides will be exactly equal in length. This means both of the unknown sides are 7mi long as well. This means the total perimeter is the sum of all four sides, each of which are 7mi.

7+7+7+7 (OR 4x7) = 28 mi

Hope this helped!

Answer:

The perimeter of the figure is 28 mi

Step-by-step explanation:

Perimeter of a Square

Given a square shape of side length A, the perimeter can be found using the expression below:

P = 4*A

Recall the perimeter is the sum of all the side lengths.

Since the figure shows a square with side length A=7 mi, the perimeter is:

P = 4 * 7 mi = 28 mi

The perimeter of the figure is 28 mi

Answer:

paying taxes, voting , serving a public office, and obeying the law.

Answer:

3

All the steps are in the picture below.

Answer:

2,802 boys and 3,693 girls went to Disneyland this weekend

Step-by-step explanation:

System of Equations

Let's call:

b = Number of boys who went to Disneyland this weekend.

g = Number of girls who went to Disneyland this weekend.

The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:

[tex]b+g=6,405\qquad\qquad [1][/tex]

The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:

[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]

To eliminate denominators, multiply [2] by 9g:

[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]

Simplify:

[tex]9b=7g\qquad\qquad [3][/tex]

From [1]:

[tex]b=6,405-g[/tex]

Substituting into [3]

[tex]9(6,405-g)=7g[/tex]

Operating:

[tex]57,645-9g=7g[/tex]

Simplify:

[tex]16g=57,645[/tex]

Solve:

[tex]g=57,645 / 16 \approx 3,603[/tex]

Take the approximate value:

g=3,603

Find b:

[tex]b=6,405-3,603=2,802[/tex]

2,802 boys and 3,693 girls went to Disneyland this weekend

Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.

Answer:

1. 53°

2. 90°

3. 37°

4. 57°

5. 90°

6. 37°

7. 3

8. 4

9. 5

10. 3

11. 4

12. 5

Step-by-step explanation:

it's alot to explain, if you need an explanation for a certain one, just ask me lol

I am going to have to go with answer A

Answer: Linear Pair, 23 degrees

Step-by-step explanation:

So I checked all of the answers and noticed that 23 was the only valid value for X because it means both values add up to 180. This is a linear pair because both angles are separated by another line and are on a straight 180 degree line.

''Store A'' has the least amount to pay for an item at price of 291.60.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Price : 360

Hence,

Store A: Sale of 10% off and a successive discount of 10% off.

360 x (100-10)% = 360 x 90% = 324

324 x (100-10)% = 324 x 90% = 291.60

Store B: Sale of 15% with no additional discount

360 x (100-15)% = 360 x 85% = 306

Store C: Sale of $35 off and a successive discount of 10% off

360 - 35 = 325

325 x (100-10)% = 325 x 90% = 292.50

Hence, Store A has the least amount to pay for an item at price of 291.60

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Answer:

0.14!

Step-by-step explanation:

Answer:

There is no way I can answer in fraction form, but here is what I calculated: 8554

Answer:

175

Step-by-step explanation:

7 times 25=175

Answer:

$1.12

Step-by-step explanation:

When you multiply 8/7 of 56, you get 64.

This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents

Answer:

Mean = 3.9

Step-by-step explanation:

Given

The above table

Required

Determine the mean

The mean is calculated as thus:

Mean = Summation of x * P(x)

So, we have:

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

Mean = 3.89

Mean = 3.9 (approximated)

The mean should be 3.9.

Here the following formula should be used:

Mean = Summation of x * P(x)

So,

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

= 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

= 3.89

= 3.9

Therefore, we can conclude that The mean should be 3.9.

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Answer:

y=-1/3x+3

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

w = 1 i + 1 j - 1 k

u = 1 i + 4 j + 5 k

Step-by-step explanation:

Two possible vectors are:

w = 1 i + 1 j - 1 k

and

u = 1 i + 4 j + 5 k

since they verify the rules for scalar product equal zero among them:

v * w = 3 - 2 - 1 = 0

v * u = 3 - 8 + 5 = 0

u * w = 1 + 4 - 5 = 0

Answer:

since 7 times 3 is 21

Step-by-step explanation:

it would be 7+7+7 becuase you do seven times 3

hope that helped!

Answer:

2.0 * 10^-6

Step-by-step explanation:

Because both numbers have the same scientific notation, you can just subtract the 9.1 from the 8.9 and keep the scientific notation.

(9.1*10^-6) - (8.9*10^-6)

(9.1 - 8.9)*10^-6

(2)*10^-6

Now that you have the answer, you need to use scientific notation, which is

2*10^-6, or 2.0*10^-6.

If anything is unclear, please let me know!

Answer:

it’s A / 2.0 x 10^-7

Step-by-step explanation:

THIS IS THE ANSWER ON EDU

i know because i just took it

Answer and Explanation:

Solution:

Let x and y are independent, ariables.

The parameters of x and y are (n1, p) and (n2, p), respectively.

It means the sum of the independent binomial variable is itself a binomial random variable.

Consider probability of the event [ x = n1],

Denoted by: p(x=n1)

The function:

                   P(n1) = p(x = n1)

Over the possible value of x say, n1, n2, n3, …, is called frequency function.

The frequency function must satisfy.

∑I p (ni) = 1,

Where the sum is possible values of x.

Similarly,

Consider probability of the event [ y = n2],

Denoted by: p(y=n2)

The function:

P (n2) = p(y = n2)

Over the possible value of y say, n1, n2, n3, …, is called frequency function.

The frequency function completely describes the probabilistic nature of the random variable.