Need help with this math question

A function means that each x can only have one y-value

B, C, and D are NOT functions because they have x-values that have multiple y-values.

For example

B. has two values for -4:

(-4, 8) and (-4, -8)

C. has two values for 9:

(9, -1) and (9, 2)

D. has two values for 5:

(5, -7) and (5, 9)

This makes A. the only function

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

[tex]\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}[/tex]

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

[tex]\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}[/tex]

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55  plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

Answer:

a. 50 mph.

b. 16 mph.

Step-by-step explanation:

Convert minutes to hours using dimensional analysis:

[tex]\displaystyle \rm 24 \; minutes \times \frac{1\; hour}{60\; minutes} = \frac{2}{5}\; hours[/tex].

Average speed is distance traveled over time taken:

[tex]\displaystyle \text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}} = \rm \frac{20\; miles}{\dfrac{2}{5}\; hours} = (20 \times \frac{5}{2})\; mph= 50\; mph[/tex].

Similarly,

[tex]\displaystyle \text{Time Taken} = \rm 75 \; minutes \times \frac{1\; hour}{60\; minutes} = \frac{5}{4}\; hours[/tex].

[tex]\displaystyle \text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}} = \rm \frac{20\; miles}{\dfrac{5}{4}\; hours} = (20\times \frac{4}{5})\; mph= 16\; mph[/tex].

Answer:

Option C.

Step-by-step explanation:

In the given triangles XWV and XYZ we have to prove both the triangles are congruent.

Since side VW ≅ side YZ (Given)

∠WVX ≅ ∠XYZ (Given)

And by AAS theorem, we should prove ∠VXW = ∠YXZ

Since AAS theorem says, if two adjacent or corresponding angles and one opposite side of these angles are equal then the given triangles will be congruent.

Therefore, Option C. will be the answer.

Answer:

Prove that VXW TO YXZ by vertical angles

[tex](0. \infty)[/tex]

Since this is a logarithmic function, the domain is [tex](0. \infty)[/tex]. But what is the domain of a function? The domain of a function is the set of inputs. This is so, because for any logarithmic function[tex]y=log_{a}(x)[/tex], x must be greater than 0. So this function is continuous and has an x-intercept at [tex](1,0)[/tex], and y increases as x increases. Finally, its graph is shown below.

Answer:

1.39x=15

Step-by-step explanation:

each song is worth 1.39 dollers

If there are x songs, the total value would be 1.39x

1.39x=15

Answer:

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00.  

15x = 1.39

15 + x = 1.39

1.39x = 15

1.39 + x = 15

Step-by-step explanation:

The equation is the following:

1.39x = 15

15 $ is what you have to download the songs, and each unit is 1.39 $, by clearing the X of the equation, it is 15 / 1.39, and the result is the number of songs that Mercedes can download.

Answer:

1

Step-by-step explanation:

To evaluate (g ￮ f)(0), substitute x = 0 into f(x) then substitute the value obtained into g(x), that is

f(0) = 5(0) + 1 = 0 + 1 = 1, then

g(1) = 1³ = 1

Answer:

the zeros are -3,-1, and 1

Step-by-step explanation:

zeros are nothing more that where the function crosses or touches the x-axis

Answer: Third Option

-3, -1, 1

Step-by-step explanation:

By definition, the zeros of a function f(x) are all the values x for which f(x) = 0.

In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x.

Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.

You can see in the graph that these intersections occur in

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

Finally the zeros are: -3, -1, 1

Answer: 6 hours

Step-by-step explanation:

Given : The time taken by Company X to install chairs : [tex]t_1=10\text{ hours}[/tex]

The time taken by Company Y to install chairs : [tex]t_2=15\text{ hours}[/tex]

Then , the time taken (T) by both of them to install the chairs if they work together is given by :-

[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{10}{60}\\\\\Rightarrow\ T=6[/tex]

Hence, it will take 6 hours to the two companies if they working together .

Answer:

(6, 3)

Step-by-step explanation:

Given the 2 equations

3x + 6y = 36 → (1)

3x - 6y = 0 → (2)

Add the 2 equations term by term to eliminate the y- term

(3x + 3x) + (6y - 6y) = (36 + 0)

6x = 36 ( divide both sides by 6 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

(1) : 18 + 6y = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Solution is (6, 3)

Answer:

the solution is (6, 3)

Step-by-step explanation:

Subtract the second equation from the first, as indicated:

 3x+6y=36

-( 3x-6y=0)

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

      12y = 36.  Then y = 36/12 = 3.  

Subbing 3 for y in the second equation, we get 3x - 6(3) = 0, or 3x = 18, or x = 6.

Thus, the solution is (6, 3).

Arc PR measures 90 degrees because it is a minor arc that intercepts central angle PQR, which measures 90 degrees.

The measure of arc PR is 90 degrees. This can be determined from the given diagram, which shows a circle with arc PR labeled. We also know that central angle PQR measures 90 degrees.

Minor arcs are arcs that intercept central angles less than 180 degrees. Major arcs are arcs that intercept central angles greater than or equal to 180 degrees.

Since arc PR intercepts central angle PQR, which measures 90 degrees, arc PR must be a minor arc. Minor arcs have the same measure as their central angles, so arc PR must also measure 90 degrees.

Here is an alternative way to think about it:

The entire circle can be divided into 360 degrees.

Arc PR is a portion of the circle, so it must have some measure.

Central angle PQR also divides the circle into two portions.

Since arc PR intercepts central angle PQR, it must have the same measure as central angle PQR, which is 90 degrees.

Therefore, the measure of arc PR is 90 degrees.

For more such information on: Arc

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Answer:

x=13°

Step-by-step explanation:

If BE is an angle bisector, then it divides the angle into two equal angles. This means that

∠ABE=∠EBC

Since ∠ABE=2x+20 and ∠EBC=4x-6, we have

2x+20=4x-6

2x-4x=-6-20

-2x=-26

2x=26

x=13°

Answer:

A. Draw line segment AB

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

B

Step-by-step explanation:

The Guy Above Got It Wrong On The Exam.

Answer:

Step-by-step explanation:

Let f and s represent the amounts invested in the fund and in stocks, respectively. The problem statement gives rise to two equations:

  f + s = 15000 . . . . . . . Susan invested a total of 15000

  0.11f + (-0.05)s = 850 . . . . . her total return was 850

These can be solved by any of a variety of methods. Using elimination, we can multiply the second equation by 20 and add it to the first:

  20(0.11f -0.05s) +(f + s) = 20(850) +15000

  3.2f = 32000 . . . . . . . . . simplify

  f = 10000

  s = 15000 -f = 5000

Susan invested $10,000 in the fund and $5,000 in stock.

Answer:

8 * 2

Step-by-step explanation:

When you draw the rectangle make it an 8 units by 2 units rectangle.

Answer:

AC = 18.1 cm

Step-by-step explanation:

Construct a line from point B perpendicular to the line AD and mark it as E on line AD. Now you have a right triangle ABE with AB = 16 cm and AE = AD - BC

so AE = 11 cm - 4 cm = 7 cm

You can find BE by using Pythagorean theorem

BE^2 = AB^2 - AE^2

BE^2 = 16^2 - 7^2

BE^2 = 256 - 49

BE^2 = 207

BE = 14.4 cm

Draw a line from A to C, you have a right triangle ACD with AD = 11cm and CD = BE = 14.4 cm

Using Pythagorean theorem

AC^2 = AD^2 + CD^2

AC^2 = 11^2 + 207

AC^2  = 121 + 207

AC^2 =  328

AC = 18.1 cm

Step-by-step explanation:

Use the distance formula:

d² = (x₂ − x₁)² + (y₂ − y₁)²

d² = (-3 − -12)² + (-8 − -11)²

d² = 9² + 3²

d² = 90

d = 3√10

Answer:

540 degrees

Step-by-step explanation:

We can find the sum of the interior angles by using the formula (n - 2) * 180.

n: represents the total number of angles in the polygon

We can determine that polygon contains 5 angles, which means you would substitute the n variable with. Then you would simply follow the order of operation (ex: parentheses first, multiplication next, etc.) to find our answer.

(5 - 2) * 180

Solve the contents inside the parentheses first, as mentioned above.

(5 - 2) * 180

(5 - 2) = 3

So, we are left with

3 * 180

Now you'd multiply 3 * 180 and the product of that represents the sum of the measures of the interior angles of the polygon.

3 * 180 = 540

In conclusion, the sum of the measures of the interior angles is 540 degrees.

Answer:

540

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\frac{1}{5} (7-3b) > 2[/tex]

[tex]=> 7-3b > 10\\=> 7-10 > 3b\\=> -3 > 3b\\=> -1 > b[/tex]

Answer:

7.08

Choice A

Step-by-step explanation:

From the right-angled triangle we have been given the following;

One angle - 33 degrees

The hypotenuse - 13 units

We are required to determine the length of the side, opposite the angle, marked x.

Using the Mnemonic; SOHCAHTOA

The sine of an angle is; (opposite side)/(hypotenuse)

Therefore;

sin 33 = x/13

x = 13 * sin 33

x = 7.080

Answer: A

Step-by-step explanation:

Answer:

Area = x + 3 + [tex]\frac{2}{5x}[/tex]

Step-by-step explanation:

Volume = 5x² + 15x + 2

Height = 5x

Area = Volume ÷ Height

Area = 5x²/5x + 15x/5x + 2/5x

Area = x + 3 + 2/5x

Answer:

x+3+2/5x

Step-by-step explanation:

Answer:

8x-6x=-18

8x-6x=2x

2x=-18

-18/2=-9

x=-9

Step-by-step explanation:

Answer:

C)

Explanation:

Movement along a vector is compared by adding, subtracting, multiplying, or dividing the values respectively.

Answer:

(9,11)

Step-by-step explanation:

The given points are H(8,13) and K(10,9).

By using mid point formula,

(x, y) =(x1+x2, y1+y2)

2 2

= (8+10)2/, (13+9)/2

= 18/2, 22/2

= (9,11)

Answer:

Step-by-step explanation:

(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43

Answer:

The answer to your problem is 13%

There are 4 male freshmen and 30 students total.

Divide the amount of male freshmen by the amount of students and turn it into a percentage.

4/30= 0.1333 = 13%

Answer:

I believe it's A.

Step-by-step explanation:

Because look at the parts: The number x /  is equal to / another number n / plus / the square root of 3.

Hope my answer has helped you!

For this case we must express in an algebraic way the following expression:

"The number x is equal to another number n plus the square root of 3"

So:

The same "x" number is represented as:

[tex]x =[/tex]

A number "n" plus the square root of three is represented as:

[tex]n + \sqrt {3}[/tex]

So, the complete expression is:

[tex]x = n + \sqrt {3}[/tex]

Answer:

Option A

1. 10 in. to millimeters: 254.00 mm

2. 60 ft. to meters: 18.29 m

3. 4.5 in. to millimeters: 114.30 mm

4. 12 U.S. quarts to liters: 11.36 L

5. 25 feet per second to meters per second: 7.62 m/s

6. 100 miles to kilometers: 160.93 km

To convert inches to millimeters, we use the conversion factor 1 inch = 25.4 millimeters. Therefore, for 10 inches, the calculation is: [tex]\(10 \, in. \times 25.4 \, \frac{mm}{in.} = 254.00 \, mm.\)[/tex]

For the conversion from feet to meters, the conversion factor is 1 foot = 0.3048 meters. Thus, for 60 feet, the calculation is: [tex]\(60 \, ft. \times 0.3048 \, \frac{m}{ft.} = 18.29 \, m.\)[/tex]

Converting inches to millimeters again, using the same conversion factor, we get [tex]\(4.5 \, in. \times 25.4 \, \frac{mm}{in.} = 114.30 \, mm.\)[/tex]

Moving on to quarts to liters, 1 U.S. quart is approximately 0.94635 liters. For 12 quarts, the conversion is [tex]\(12 \, qts \times 0.94635 \, \frac{L}{qt} = 11.36 \, L.\)[/tex]

For the speed conversion from feet per second to meters per second, we use the conversion factor 1 ft/s = 0.3048 m/s. Thus,[tex]\(25 \, ft/s \times 0.3048 \, \frac{m}{ft} = 7.62 \, m/s.\)[/tex]

Finally, for miles to kilometers, the conversion factor is 1 mile = 1.60934 kilometers. Hence, [tex]\(100 \, miles \times 1.60934 \, \frac{km}{mile} = 160.93 \, km.\)[/tex]

Answer:1. 10 in. to millimeters: 254.00 mm2. 60 ft. to meters: 18.29 m3. 4.5 in. to millimeters: 114.30 mm4. 12 U.S. quarts to liters: 11.36 L5. 25 feet per second to meters per second: 7.62 m/s6. 100 miles to kilometers: 160.93 km

Step-by-step explanation:

If we use 3.14 as pi, the areas of these circles are 415.265 square units (I recommend rounding up to 415.27 unless it says otherwise).

Step-by-step explanation:

To find the area of a circle, square the radius and multiply it by pi. To find the radius, we divide the diameter by 2 to get 11.5. Then, square 11.5 to get 132.25 and multiply by pi, or 3.14, to get 415.265, rounding up to 415.27 square units.