List the transformations of the function. *
5 points
f(x)= (1/2(- 1/4(x-3))+1

Answer:

x ≤ 14

Step-by-step explanation:

x = age of Sis

x - 6 = Martin's age

x + (x-6) ≤ 22

2x - 6 ≤ 22

2x ≤ 28

x ≤ 28/2

x ≤ 14

The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

For more such information on: length

https://brainly.com/question/28322552

#SPJ8

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

(9, 18) (3, 6) Plz correct me if wrong

Step-by-step explanation:

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

Find out more at: https://brainly.com/question/16763389

The next three terms in the sequence are  -1/16, 1/32, -1/64

The correct option is option C)

What is a sequence?

A sequence is an set of values separated by commas Referring to a generalized rule. They have a relation among them. One of the common sequences are arithmetic progression

We are given a sequence of -1, 1/2, -1/4, 1/8,

We have to describe the next three terms of the sequence

If we notice closely the given sequence is an geometric sequence

Hence they have a common factor known as common ratio

in it we divide a term by its previous term

Hence

Ratio= (1/2)/-1

Ratio = -1/2

Now to find the next terms we multiply this with the last term we get

1/8*-1/2= -1/16

Now Hence the next three terms are -1/16, 1/32, -1/64

The correct option is option c)

To learn more about sequences please refer the following link

https://brainly.com/question/6561461

#SPJ1

The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

To know more about value click-

https://brainly.com/question/843074

#SPJ1

Answer:

40

Step-by-step explanation:

1. 2(l+w)

2. 2(17+3)

3. 2(20)

4. 2*20

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

Know more about volumes,

https://brainly.com/question/17101095

#SPJ1

The graph that represents a one-to-one function is the one with a straight line with a positive slope that starts at (negative 2, 1) and goes through (1, 2).

Every element in the domain is mapped to a single element in the range in a one-to-one function. In other words, no two different domain items can map to the same range element. An injective function is another name for this. If and only if a function's graph passes the horizontal line test—that is, if no horizontal line crosses the graph more than once—then the function is one-to-one.

From the definition, the graph that represents a one-to-one function is the one with a straight line with a positive slope that starts at (negative 2, 1) and goes through (1, 2).

Learn more about one to one function here:

https://brainly.com/question/29256659

#SPJ1

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

for the first box the answer is 4x but I dont know the y intercept

Step-by-step explanation:

get 2 points the do y2-y1/x2-x1 then you get your x

Answer:

1.) use a compass

2.) also use a compass

Step-by-step explanation:

The PDF will show you for number two

brainlist ppls

Answer:

.....................................

The bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

Since the ship travels at a constant speed, we can use the formula:

distance = speed × time

For the first hour, the ship travels at a bearing of S80°E, which is equivalent to a bearing of N10°E. Therefore, the ship travels 15 nautical miles in a direction N10°E. This gives us:

PA = distance = speed × time = 15 × 1 = 15 nautical miles

After the first hour, the ship turns 90° towards the North. This means that the ship is now heading due East. Therefore, for the next 2 hours, the ship travels 15 × 2 = 30 nautical miles in an easterly direction. This gives us:

AB = distance = speed × time = 15 × 2 = 30 nautical miles

Now, we can use the Pythagorean theorem to find the value of y:

y² = x² + (AB)²

y² = 15² + 30²

y² = 225 + 900

y² = 1125

y ≈ 33.54 nautical miles

To find the bearing of B from P, we can use trigonometry. The bearing is the angle between the line PA and due North. Let θ be this angle. Then we have:

tan(θ) = x / y

θ = tan^-1(x / y)

Using the values we have found, we get:

tan(θ) = 15 / 33.54

θ ≈ 24.65°

Therefore, the bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

To know more about trigonometry follow

https://brainly.com/question/9865534

#SPJ1

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

Learn more about sample on

https://brainly.com/question/24466382

#SPJ1

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ1

Answer:

a. \(f(x) = 3 + 0.2x\)

b. 6$

c. 35 miles

Step-by-step explanation:

There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.

In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter \(x\).

Therefore, the function to represent the cost of a cab-ride would be \(f(x) = 3 + 0.2x\).

b. To find out how much she must pay for a 15-mile trip, we must substitute \(x = 15\), as she has ridden 15 miles in the cab.

\(f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6\)

She must pay $6 for the ride.

c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.

\(f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35\)

For $10, she can travel 35 miles.

Answer: For $10, she can travel 35 miles.

Step-by-step explanation:

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

Learn more about angles in a Circle:
https://brainly.com/question/29545062
#SPJ1

Full Question:

See attached image.

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

​for such more question on parabola

https://brainly.com/question/9201543

#SPJ8

Answer:

Anna had $125 in her account before the deposit. Here's the math:

$150 (current balance) - $25 (deposit) = $125 (previous balance)

Answer:

71 %

Step-by-step explanation:

250/350 = 0.714285    

71.4285   move decimal 2 places to the right

71 %  rounded to whole percent

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

Learn more about alcohol here:

https://brainly.com/question/29549236

#SPJ1

Answer:

Mean = 75

Median = 80

Mode = 85

The mode

Step-by-step explanation:

Given the data :

45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100

Rearranged data :

45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100

The mean score :

ΣX / n ; n = sample size = 20

ΣX = 1500

Mean = 1500 / 20 = 75

Mode = most frequently occurring = 85 ( frequency of 4)

Median = 0.5(n + 1)th term

Median = 0.5(20 + 1)th term

Median = 0.5(21) th term

Median = 10.5th term = (10 + 11)th term / 2

Median = (80 + 80) / 2 = 160 / 2 = 80

2.) The mode

The miles that Jordan run after 6 days will be 5 1/4 miles.

This relates to a fraction. A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Here, Jordan runs to the end of his street and back home every day and the total distance of a trip to the end of the street and back home is 7/8 mile.

The miles that Jordan run after 6 days will be:

= 7/8 × 6

= 42 / 8

= 5 1/4 miles.

Learn more about fractions on

brainly.com/question/78672

#SPJ1

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001