The mapping diagram shows a function S(x).

Which mapping diagram shows the inverse of S(x)?

Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

Answer:

x is less than or equal to -18

Step-by-step explanation:

When doing this problem, I had to do -6 x 3 and x/3 x 3. This should cancel out the 3 in x/3, leaving you with just x. -6 x 3 is less or equal to -18. To check, I converted -18/3 into a whole number, which gave me -6. This is true to the original inequality. Hope this helped!

Answer:

Angle:

When two lines/rays intersect at a point, they form an angle.

=> Angles may be in radians and degrees.

See the attached file in which two rays intersect to form an angle.

Answer:

[tex]\boxed{\mathrm{view \: explanation \: and \: attachment}}[/tex]

Step-by-step explanation:

Two lines (arms/rays) intersect at one point (vertex) creating an angle.

Answer:

3 years

Step-by-step explanation:

I assume it's simple interest.

I = Prt

132 = 800 * 0.055 * t

t = 132/(800 * 0.055)

t = 132/44

t = 3

Answer: 3 years

Answer:

The standard form of the equation is y = -x/2 -2

Step-by-step explanation:

The standard form of equation of this line is expressing the line in the form;

y = mx + c

So let’s make a rearrangement to what we have at hand;

y + 7 = -1/2(x-10)

2(y + 7) = -1(x-10)

2y + 14 = -x + 10

2y = -x + 10 -14

2y = -x -4

divide through by 2

y = -x/2 -2

C.

Because the marble is not replaced and that affects the next event where another marble is chosen.

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

Now,

A. Rolling an odd number, and then rolling an even number.

This is an independent event.

B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.

This is an independent event.

C. You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

D. You roll a 4 and then spin yellow on a spinner.

This is an independent event.

Thus,

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

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Answer:

[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.

Step-by-step explanation:

The given expression is,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

By solving this expression,

[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]

= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Therefore, fraction given in option (2) will be the answer.

Answer:

[tex] r = 17.5 [/tex]

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]

Plug in the values stated above into the formula

[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]

[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]

[tex] r^2 = 261 + 46.584 [/tex]

[tex] r^2 = 307.584 [/tex]

[tex] r = \sqrt{307.584} [/tex]

[tex] r = 17.5 [/tex] (to the nearest tenth)

The homework completed by Eric will be equal to 13/21.

The fraction is defined as the division of the whole part into an equal number of parts.

To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.

To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.

You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and if you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.

Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.

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Answer:

f(-1) = 12

Step-by-step explanation:

Using the graph for f(x)  let x=-1

Find the y value when x= -1

f(-1) = 12

Answer:

60

Step-by-step explanation:

the 1st one

third one

fourth one

the last one

each of the equation has one of the common factor out

12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

An expression is combination of variables, numbers and operators.

Equivalent expressions are expressions that work the same even though they look different.

The given expression is 12x + 36y.

Twelve times of x plus thirty six times of y.

When we solve each expression we have to get 12x + 36y.

1. 12(x + 3y)- Equivalent expression

By distributive property

=12x+36y

2. 9(3x + 4y)- Not Equivalent expression.

27x+36y

3. 6(2x + 6y)- Equivalent expression

12x+36y

4. 4(3x + 9y)-Equivalent expression

5. 2(6x + 24y)- Not Equivalent expression.

12x+48y

6. 3(4x + 12y)-Equivalent expression

12x+36y

Hence, 12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

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Answer:

Mode: 100

Mean: 46.94444...

Median: 29.5

Range: 150

Step-by-step explanation:

Mode: most occurring number: 100

Mean: Plus everything and divide by how many number there is: 845/18=46.94....

Median: The middle number, but you need to line it from smallest to greatest.

0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150

29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5

Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150

Hope this helps, BRAINLIEST would really help me:)

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

[tex]y^{'}[/tex] = [tex]\frac{dy}{dx}[/tex] = [tex]\frac{d(5 + x - x^2)}{dx}[/tex]

[tex]y^{'}[/tex] = [tex]1 - 2x[/tex]

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = [tex]\frac{1}{2}[/tex]

Therefore, the value of x for which the function is maximum is [tex]\frac{1}{2}[/tex]

Answer:

x = 1/2

Step-by-step explanation:

The standard equation of a quadratic function is given by:

y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.

For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.

Differentiating with respect to x:

y'(x) = 1 - 2x

Equating to zero

-2x + 1 = 0

-2x = -1

x = -1/ -2

x = 1/2

The function has a maximum at x = 1/2

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

Answer:

24

Step-by-step explanation:

let the 2 digit number be ab then digit in unit place is 2 more than ten place

2 digit number is a a + 2 where b = a + 2.

Thus sum of digits = a + a + 2 = 2a + 2, then

ab + 3(2a + 2) = ba ← using place value of digits

10a + b + 6a + 6 = 10b + a, that is

16a + 6 + b = 10b + a ( subtract 10b + a from both sides

15a - 9b + 6 = 0 ← substitute b = a + 2

15a - 9(a + 2) + 6 = 0

15a - 9a - 18 + 6 = 0

6a - 12 = 0 ( add 12 to both sides )

6a = 12 ( divide both sides by 6 )

a = 2

Thus the number is 24

Answer:

Hey there!

We have the slope is equal to -2.5, and the y intercept  is 3.

Thus, the equation is y=-2.5x+3

Hope this helps :)

Answer:

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

Answer:

It’s 87° for mine

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

See the picture attached for reference.

As you see the best points are the green areas which covers 2 out of 5 zones.

Since it is same for both broken points, the probability of  this is:

Answer is 0.16

__♥__♥_____♥__♥___ Put This

_♥_____♥_♥_____♥__ Heart

_♥______♥______♥__ On Your

__♥_____/______♥__ Page If

___♥____\_____♥___ You Had

____♥___/___♥_____ Your Heart

______♥_\_♥_______ Broken

________♥_________…………….

Answer: Choice D.   2x^2+2y^2 = 32

=================================================

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Answer:

  20 km/hr

Step-by-step explanation:

The boat's still-water speed is the average of its speeds against and with the current:

  (15 +25)/2 = 20 . . . km/hr

__

If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.

  b - c = 15 . . . . upstream speed

  b + c = 25 . . . . downstream speed

Add these two equations, and you get ...

  (b -c) +(b +c) = (15) +(25)

  2b = 40

  b = 20 . . . . divide by 2

The speed of the boat in still water is 20 km/hr.

Answer:

20 km/hr

Step-by-step explanation:

To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.

15 +25=40

40/2=20

20km/hr!!!

Good luck on what you are doing I hope you do well! Brainliest would be great :)

Answer:

Step-by-step explanation:

[tex] {x}^{2} - 13x + 30[/tex]

Write -13x as a difference

[tex] {x}^{2} - 3x - 10x + 30[/tex]

Factor out x from the expression

[tex]x(x - 3) - 10x + 30[/tex]

Factor out -10 from the expression

[tex]x(x - 3) - 10(x - 3)[/tex]

Factor out x-3 from the expression

[tex](x - 3)(x - 10)[/tex]

Hope I helped!

Best regards!!

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.

Step-by-step explanation:

Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.

Answer:

Slope = 3

Step-by-step explanation:

Slope is rise (vertical distance) over run (horizontal distance).

Our rise is equal to 3

Our run is equal to 1

So, slope = 3/1 = 3

Answer:

the answer is 2/5 or 0.4

.

Answer:

Y= -4. X=5

Step-by-step explanation:

This is a simultaneous equation

3x+5y= -5 ------------(1)

4x+5y= -8 ------------(2)

Using elimination method

Eliminate x

×4. 3x+5y= -5

×3. 4x+7y= -8

12x+20y= -20

-(12x+21y= -24) Minus

-y=4 therefore y= -4

Substitute x into equation 1

3x+5(-4)= -5

3x-20= -5

3x= -5+20

3x= 15

x=5

Answer:  $1,077.50   or   $1,078.06 (see below)

Step-by-step explanation:

Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.

Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50

Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56

⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06

Answer:   [tex]\dfrac{49}{99}[/tex]

Step-by-step explanation:

There are 61 boys --> 38 girls

A) 19 chose football: 5 are girls --> 14 are boys

B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis

C) 31 students chose tennis: 5 are girls --> 26 are boys.

D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.

[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]

Total running = 21 boys + 28 girls = 49

Total students = 99

[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]

a. True.

b. False.

c. True.

d. True.

e. True.

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.