Describe the transformations necessary to transform the graph of f(x) into that of g(x).

Answer:

3

Step-by-step explanation:

Find the sum of the data set and divide it by the number of data points in the set:

[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]

Therefore, the mean of the data set is 3

Answer:

A is the answer

Step-by-step explanation:

because 3 is shaded

and there is 5 rows with three shaded

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

Combine like terms :

Divide both sides by 5 :

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

simplifying

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= [tex]\sqrt{5}[/tex]

a. The maximum value of the function is 4.

b. The range of x-values for which the function is positive is approximately -1.5 < x < 0.5.

c. The roots of the equation are approximately x = -1.5 and x = 0.5.

To draw the graph of the function y = 3.5 + 4x - 4[tex]x^2[/tex], we can plot the points for different values of x within the range of -3 to +3. Here is the graph:

```      |

  4  |                 ++++++++++

     |             ++++

  2  |          +++

     |      +++

  0  |  +++

     |  

 -2  |      +++

     |          +++

 -4  |              ++++

     |                 ++++++++++

     -----------------------------

    -3    -2    -1     0     1     2     3

```From the graph, we can determine the following:

a. The maximum value of the function y = 3.5 + 4x - 4[tex]x^2[/tex] occurs at the vertex of the parabola. In this case, the vertex is at x = -b/2a, where a = -4 and b = 4. Thus, x = -4/(2*(-4)) = 0.5.

Plugging this value into the equation, we find y = 3.5 + 4(0.5) - 4(0.5)^2 = 4.

b. To find the range of values of x for which 3.5 + 4x - 4[tex]x^2[/tex] > 0, we need to identify the x-values where the function is positive (above the x-axis). From the graph, we see that the function is positive for x values between approximately -1.5 and 0.5.

c. To find the roots of the equation 3.5 + 4x - 4[tex]x^2[/tex] = 0, we need to find the x-values where the function intersects the x-axis. From the graph, we can see that the roots occur at approximately x = -1.5 and x = 0.5.

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Answer:

120 failures

Step-by-step explanation:

1 out of 25    or    1/25 th of 3000

1/25 * 3000 = 120

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

[tex]\rule{300}{1}[/tex]

Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

Step 2: Subtract 3x from both sides.

Step 3: Add 5 to both sides.

Step 4: Divide both sides by -5.

Therefore, the answer is one solution

Answer:

0/10 is the correct answer

Answer:

Please give me brainly!! I would really appreciate it. Thank you! <3

d=10

Step-by-step explanation:

►Use The Distance Formula d=√(x₂-x₁)²+(y₂-y₁)²◄

1. Fill In The Given Values (-4, 4) and (6,4)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(6--4)²+(4-4)²

2. Simplify

d=√(6--4)²+(4-4)²

d=√10²+0²

d=√100+0

d=√100

d=10

The answer is...:

True

To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24

This expression is an equation of the first fractional degree. To calculate, let's:

— move the negative - term to the other side of the positive equation, thus adding:

3/4m - 6 = 12

3/4m = 12 + 6

3/4m = 18

— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:

3/4m = 18

3 = 4m . 18

3 = 72m

— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:

3 = 72m

m = 3/72

m = 3÷3 / 72÷3

m = 1/24

Therefore, the correct value of this expression is m = 1/24

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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Answer:

 43y2+3 + 7y + 1

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

the first thing you would do in this equation is to deal with the exponent

a negative exponent puts the number under 1

1/10^2

10^2 is also 100

1/100

3 * 1/100 is 3/100 so that is your answer

3/100 is also 0.03

Answer: [tex]\frac{3}{100}[/tex] or 0.03

Step-by-step explanation:

3×[tex]10^{-2}[/tex]

3 × [tex]\frac{1}{100}[/tex]

⇒ [tex]\frac{3}{100}[/tex]

⇒ 0.03

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

Answer:

output = - 68

Step-by-step explanation:

given

output = input × 17

when input = - 4 , then

output = - 4 × 17 = - 68

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

Answer:

y12111097

Step-by-step explanation:

because I know the answer

Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

It states that, for a normally distributed random variable:

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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Answer:

If x = 5, then 3x + 4x - 15 equals 20

Step-by-step explanation:

Here, we are given the value of x, which is 5.

1. Substitute 5 as the value of x in the equation:

3x + 4x - 15 = ?

3(5) + 4(5) - 15 = ?

15 + 20 - 15 = ?

2. Simplify:

15 + 20 - 15 = ?

35 - 15 = ?

20 = ?

3. Check your work:

3x + 4x - 15 = 20

3(5) + 4(5) - 15 = 20

15 + 20 - 15 = 20

20 = 20 ✅

Therefore, if x = 5, then 3x + 4x - 15 equals 20

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Answer:

-1 - 4 i

Step-by-step explanation:

5 - (2 * i) - (2 * (3 + i)) =

-1 - 4 i

Answer:

B

Step-by-step explanation:

Do the math

5x1 is 5

4x1 is 4

35÷7 is 5

28÷7 is 4

Hope this helps

Answer:

The second table.

Step-by-step explanation:

4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.

Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

----------------------

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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Answer:

3/8 cup of oil

Step-by-step explanation:

divide 1/4 by 2 to get how many are needed for 1/3 cup of water, and times 3 to find one cup of water.