How do I solve this?

Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x

A relation is a function if it has only One y-value for each x-value.

Given,

Helene is selling cupcakes for $0.50 each.

The function f(x)=0.5x gives the total amount of money Helene makes after selling x cup cakes.

We need to find the domain and range of the function

solve the equation f(x)=0.5x to determine the values of the independent variable x and obtain the domain.

To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Hence, Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x

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Answer:

SAS or HL

Step-by-step explanation:

SAS, you have two sides and two angles  congruent on each triangle

HL, you have two hypotenuses and two right angles congruent

The mean absolute deviation of the given values would be = 4.3125

The mean absolute deviation in statistics is defined as the average distance between each data point and the mean and this gives us an idea about the variability in the dataset.

To calculate the mean absolute deviation the following is carried out:

76, 70, 66, 80, 72, 67, 78, 69 = 578/ 8 = 72.25

76-72.25 = 3.75

70-72.25 = 2.25

66-72.25 = 6.25

80-72.25 = 7.75

72-72.25 = 0.25

67-72.25 = 5.25

78-72.25 = 5.75

69-72.25 = 3.25

3.75+2.25+6.25+7.75+0.25+5.25+5.75+3.25 = 34.5

= 34.5/8

= 4.3125

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The probability of the combined event that the next six days are all sunny is 1/4096

From the question, we have the following parameters that can be used in our computation:

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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Answer:

Step-by-step explanation:

d is the answer

The equation that will represent how many grams of the compound that will remain is  C = 430(1-0.28)^5

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.The following formula can be used to calculate exponential decay:

C=a(1-r)^twhena = 430 grams

r = 28% = 0.28t = 5 hours

By substituting the values into the formula

C = 430(1-0.28)^5C = 83.20grams

Thus, after 5 hours the radioactive compound with mass 430 grams becomes 83.20 grams and the equation will be  

C = 430(1-0.28)^5

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Answer:17

Step-by-step explanation:when we add the 12+5 together and will be the answer

When two numbers added together result in 0, this is known as additive inverse. Using this notion, points on a number line are used to depict additive inverse.

The dotted points with the numbers 3 and -3 are the places on the number line.

To determine whether the points show an additive inverse:

Points 1 and 2 add up to 0.

3 + (-3) = (3 - 3) = 0

When two numbers added together result in 0, this is known as additive inverse.

Using this notion, points on a number line are used to depict additive inverse.

Thus, the points therefore display additive inverse.

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The monthly payment would be an amount of $226.67.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Mary takes out a loan for $6,000 at a simple interest rate of 12% to be paid back in 36 monthly installments.

The total payback = P× r/100 × T + P

Here P = $6,000 , r = 12, and T = 3 years

The total payback = 6,000 × 12/100 × 3 + 6,000

The total payback = 6,000 × 0.12 × 3 + 6,000

The total payback = $8,160

The total payback of the borrowings will be $8,160 over a three-year period. The monthly payment for this will be,

The monthly payment = Total payback / No. of payment

The monthly payment = 8,160/36

The monthly payment = $226.67

Therefore, the monthly payment would be an amount of $226.67.

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In point-slope form, the equation of the parallel line to y − 5 = 3/4(x − 2) is: y - 4 = 3/4(x + 1).

If two lines are parallel their equation, written in point-slope form y - b = m(x - a), will have the same value of m, which is the same slope.

The slope of the line with the equation y - 5 = 3/4(x - 2), is 3/4. This means that the line that passes through the point (−1, 4), and that is parallel to the line with the equation y − 5 = 3/4(x − 2), will have the same slope, m = 3/4.

To write the equation of the line that is parallel to y - 5 = 3/4(x - 2), in point-slope form, substitute m = 3/4 and (a, b) = (-1, 4) into y - b = m(x - a):

y - 4 = 3/4(x - (-1))

y - 4 = 3/4(x + 1)

The equation of the line that is parallel to y − 5 = 3/4(x − 2) is therefore expressed in point-slope form as: y - 4 = 3/4(x + 1).

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Answer:3,4

Step-by-step explanation:

Answer:

u = 7

Step-by-step explanation:

The transformation which transforms y = x² to the graph of y = (x + 5)² as required in the task content is; a translation of 5 units leftwards.

It follows from the task content that the transformation responsible for the mapping y = x² to the graph of y = (x + 5)² is to be determined.

Since the pre-image graph given in the task content is; y = x².

Recall that a translation of a graph f(x) by k units leftward is represented as; f (x + k).

On this note, the given transformation of y = x² to the graph of y = (x + 5)² as required in the task content can be attributed to;

A horizontal shift of 5 units leftward.

Put simply, the required transformation is; a translation of the graph of y = x² 5 units leftwards.

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The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle are shown.

Now,

We know that;

The sum of two sides of triangle is greater than the third side.

Hence, We get;

First option;

⇒ [ 13, 20, 35 ]

Cleary, 13 + 20 = 33 < 35

Thus, It is not possible.

Second option;

⇒ [ 11, 24, 35 ]

Cleary, 11 + 24 = 35 = 35

Thus, It is not possible.

Third option;

⇒ [ 11, 24, 32 ]

Cleary, 11 + 24 = 35 > 32

Thus, It is possible.

Therefore, The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

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The grouped frequency distribution for the data is given as follows:

The relative frequency of an outcome in the context of an experiment is given by the number of outcomes assuming this value divided by the number of total outcomes.

Hence the grouped frequency distribution for the data in this problem is obtained considering the relative frequency of each outcome.

For example, we have that:

Hence the frequency for the age 41-45 is given as follows:

4/44 = 0.0909.

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(-3, -7).

[tex](1)y= 2x-1\\ \\ (2)y= 3x+2[/tex]

[tex]3x+2-2= 2x-1-2\\ \\3x=2x-3[/tex]

[tex]3x-2x=2x-3-2x\\ \\x=-3[/tex]

To see of the answer is correct, both of the equation should give the same y value for the x value of -3.

[tex](1)y= 2(-3)-1\\ \\ y=-6-1\\ \\y=-7[/tex]

[tex](2)y= 3(-3)+2\\ \\y=-9+2\\ \\y=-7[/tex]

(x, y)

(-3, -7).

Answer:

When subtracting two numbers you add the (additive inverse) of the number being subtracted.

Step-by-step explanation:

That's one of the rules of subtracting integers.

Answer: -787

188 is positive, negative and negative equals positive

559 is negative

the answer needs to be negative as 559 is negative so you add 559 and 188 and get 787 and add a negative sign so it's more "negative" than 188. (hard to explain in writing)

-787--188=-559

-787+188=-559

-559=-559

The Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

What are the Domain and Range?

Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values or range.

Domain:

The x-value at the farthest left point is at x = −2. Now continue tracing the graph until you get to the point that is the farthest to the right. The x-value at this point is at ∞. There are no breaks in the graph going from left to right which means it’s continuous from -2 to ∞.

Domain: [-2, ∞][−2, ∞] also written as −2 ≤ x ≤ ∞

Range:

Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y=0. Now, look at how far up the graph goes or the top of the graph. This is when x = ∞, but now we’re finding the range so we need to look at the yy-value of this point which is at y = 0. There are no breaks in the graph going from down to up which means it’s continuous.

Range: [0, ∞][0, ∞] also written as 0 ≤ y ≤ ∞.

Hence, the Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

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Since the three triangles are similar the length of LK will be 8 units.

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that,

XW=LK=BC

∠WXY = ∠MLK=∠ABC

WY=10

XY=6

AB=6

ΔWXY ≅ MLK

XW=LK

XW=8

LK= 8 units

Thus, if the three triangles are similar the length of LK will be 8 units.

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates from the graph as,

(15, 80) and (45, 130)

15 and 45 are the seconds.

80 and 130 are the temperatures.

Now,

The rate of change in the temperature during the first 45 seconds.

= (130 - 80) / (45 - 15)

= 50/30

= 5/3

= 3.67 degrees Fahrenheit per second

Thus,

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

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Proportionately, since a 3/4 inch cork stopper is too small for sealing the bottle, the Sailor should next try a 4/5 inch cork stopper, and not a 1/2 inch cork stopper.

Proportion refers to the ratio or relative value between two values.

Proportions are fractional values.

And like ratios, proportions can be expressed as fractions, decimals, or percentages.

To determine the relative sizes of these cork stoppers, we can express them in percentages or decimals and other fractions.

3/4 equals 75%, 7.5/10, 75/100, or 0.75.

1/2 equals 50%, 5/10, 50/100, or 0.50.

4/5 equals 80%, 8/10, or 80/100, or 0.80

Thus, with the proportionate sizes of these cork stoppers, the Sailor should try using the biggest plug, which ultimately has size 4/5.

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One of the major differences between line segment, line and ray is the number of the endpoints, or no endpoint in either. Thus the definition of the terms are:

A given set of lines can be differentiated by the major differences among them which could either be in length or a line segment, line or ray. All these are parts of a line but have their individual differences as a means of identification.

Thus, the required definition of terms that would complete the pairs given in the question are:

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Answer:

2.4938705426067307E - 8

Step-by-step explanation:

Answer:

Let the number be x. "Seven less than a number" means that we need to subtract 7 from unknown number and result would be 34. . Then, x−7=34Add 7 on both sides of the equationx−7+7=34+7x=41.

Step-by-step explanation:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

9 pounds = $8.37

1 pound = $0.98

The amount saved per pound is $0.98

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Krystal bought 9 pounds of ground beef. She saved $8.37 by using a coupon.

This means,

9 pounds = $8.37

Divide both sides by 9.

1 pounds = 8.37/9

1 pounds = $0.93

Thus,

The amount saved per pound is $0.98

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Answer:

Step-by-step explanation:

i ag