If a candy machine contains 76 green candies, 42 orange candies, 58 red
candies, and 24 yellow candies, what is the probability that a candy chosen at
random will be red?

Answer:

W (3 , 4) or W (3 . -4)

Step-by-step explanation:

W (3 , y), origin (0 ,0)

WO = √(3-0)²+(y-0)² = √9+y²

WO = 5

√9+y² = 5

9+y² = 25

y² = 16

y = ± 4

W (3 , 4) or W (3 . -4)

Answer:

-4

Step-by-step explanation:

Answer:

2nd: 2

4th: -4

11th: -25

Step-by-step explanation:

When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:

A(2) = 5 + (2 - 1)(-3)

A(2) = 5 + (1)(-3)

A(2) = 5 - 3

A(2) = 2

To get the 4th term you substitute in 4:

A(4) = 5 + (4 - 1)(-3)

A(4) = 5 + (3)(-3)

A(4) = 5 - 9

A(4) = -4

And we do the same for the 11th term:

A(11) = 5 + (11 - 1)(-3)

A(11) = 5 + (10)(-3)

A(11) = 5 - 30

A(11) = -25

Answer:

2/6 so the last box

Step-by-step explanation:

2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.

Answer:

The last box

Step-by-step explanation:

Answer:

8.40

Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.

Answer:

The new total will be $8.40.

Step-by-step explanation:

The 30% off discount gives you $3.60 off of your purchase.

Answer:

10.1

Step-by-step explanation:

Answer:

10.1 units

Step-by-step explanation:

Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1

Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

Answer: 4128

Step-by-step explanation:

The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:

At x ≈ -4.919 and x ≈ -0.488, there are local minima.

At x ≈ 1.752, there is a local maximum.

Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.

To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.

To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.

Initial guess: x_0 ≈ -5

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

where f(x) = -x^3 - 5x^2 - 3x + 9

f'(x) = -3x^2 - 10x - 3 (derivative of f(x))

x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)

≈ -4.919

Initial guess: x_0 ≈ -1

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)

≈ -0.488

Initial guess: x_0 ≈ 2

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)

≈ 1.752

After iterating through the Newton-Raphson method, we approximate the zeros as follows:

x ≈ -4.919

x ≈ -0.488

x ≈ 1.752

Now, let's analyze the behavior of the graph at each zero:

x ≈ -4.919:

When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.

x ≈ -0.488:

When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.

x ≈ 1.752:

When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.

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Answer:

16. r = 20, t = 48

17. a = 104, b = 175

19. 144/252, 20/35

20. 14/21, 18/27

21. 16/48, 12/36

22. 219 grams

23. 5 milligrams

Step-by-step explanation:

Answer:

16. r = 20

     t = 48

17. a = 104

    b = 175

19. [tex]\frac{144}{20} =\frac{252}{35}[/tex]

     7.2 = 7.2

20. [tex]\frac{27}{18}= \frac{21}{14}[/tex]

     1.5 = 1.5

21. [tex]\frac{48}{16} =\frac{36}{12}[/tex]

     3 = 3

22. [tex]\frac{8}{3} :\frac{584}{y}[/tex]

     219 grams of peanuts

23. [tex]\frac{y}{2}: \frac{200}{80}[/tex]

     50 milligrams of medication

Step-by-step explanation:

16. [tex]\frac{r}{32} =\frac{5}{8} =\frac{30}{t}[/tex]

8 · 4 = 32

5 · 4 = 20

r = 20

5 · 6 = 30

8 · 6 = 48

t = 48

17. [tex]\frac{52}{a} =\frac{10}{20} =\frac{b}{350}[/tex]

Here is a different method.

[tex]\frac{10}{20} =\frac{1}{2}[/tex]

52 · 2 = 104

a = 104

350 ÷ 2 = 175

b = 175

22.

[tex]\frac{8}{3} :\frac{584}{y}[/tex]

8 · y = 3 · 584

8y = 1752

8y ÷ 8 = 1752 ÷ 8

y = 219

23.

[tex]\frac{y}{2}: \frac{200}{80}[/tex]

y · 80 = 200 · 20

80y = 4000

80y ÷ 80 = 4000 ÷ 80

y = 50

Answer:

[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]

Answer:

[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]

Answer:

A. 6.75

Step-by-step explanation:

8x+18=4x+57

8x-4x=57-18

4x=39

4x+57=180-(8y+30)

39+57=180-8y-30

96=150-8y

8y=150-96

= 54

y= 54/8 = 6.75

Answer:

The answer would be b this is because i did the math and i got 5 yards

Step-by-step explanation:

Answer:

18 more bags

Step-by-step explanation:

87 + 95 = 182

200 - 182 = 18

Answer:

2n

Step-by-step explanation:

2 x 1 = 2

2 x 2 = 4

.......

2 x 5 = 10

Find the difference between the terms. e.g 4 - 2 = 2, then times it by n for the expression

Answer:

Area of the image rectangle = 4(Area of the original rectangle)

Step-by-step explanation:

Length of the rectangle given in the graph = 4 units

Width of the rectangle = 2 units

Area of the rectangle = Length × Width

                                    = 4 × 2

                                    = 8  square units

Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]

Length of the image rectangle = 2(4)

                                                   = 8 units

Similarly, width of the image rectangle = 2(2)

                                                     = 4 units

Area of the image rectangle = 8 × 4

Area of the image = Area of the original × 4

Area of the image = 4(Area of the original)

Area of the image rectangle = 4(Area of the original rectangle)

Answer:

using BODMAS, addition comes before subtraction. 2+5 is 7 and 1000000 - 7 is 999,993

Answer:

Vertex means the highest or lowest coordinate in a parabola (and also absolute value)

Here we see the lowest point is (-2,0), so the vertex is (-2,0)

A standard quadratic equation is written as a(x-h)^2+k

h and k are the vertex coordinate h is x and k is y

so by finding the vertex we found that h = -2 and k = 0

so you plug it in

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

a(x+2)^2=y

when finding a, you take a random point in the graph and plug it in and solve it

lets take (-1,1)

so its a(-1+2)^2 = 1

a(1)^2 = 1

a=1

so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

Step-by-step explanation:

A and B are non-linear; A is a quadratic and B is a cubic.

The functions y-6=x² and y=2x²+5-3x are non-linear. Therefore, options A and B are the correct answers.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

A) y-6=x²

Here, the highest degree is 2.

So, the equation is quadratic.

B) y=2x²+5-3x

Here, the highest degree is 2.

So, the equation is quadratic.

C) y=x

Here, the highest degree is 1.

So, the equation is linear.

D) 2y=1/2 x

Here, the highest degree is 1.

So, the equation is linear.

E) y=1/3 -5x

Here, the highest degree is 1.

So, the equation is linear.

F) y=8+x

Here, the highest degree is 1.

So, the equation is linear.

Therefore, options A and B are the correct answers.

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Answer:

I believe it is 12.

Step-by-step explanation:

Answer:

The formula of a²-b² are as follows:

Step-by-step explanation:

(a-b)(a+b)

(a-b)(a+b) is the answer

Answer:

Yes they are wrong, rational & irrational ones down below.

Step-by-step explanation:

So, lets start this by asking, what is a rational and irrational number?

Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.

Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.

Note that the symbols listed above such as pi are values that are neverending.

Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.

So, we start off with:

-13/3

I do not see a square root.

I do not see a symbol such as pi either.

It is not a ever going number.(number that continues infinitly)

So -13/3 is a rational number.

Next we have [tex]\sqrt{37}[/tex]

immediatly we tell it has a square root.

So [tex]\sqrt{37}[/tex] is a irrational number.

Next we have 0.1234

This is not a every going number.

There isnt a square root.

And it isnt a symbol.

So 0.1234 is a rational number.

Next we have [tex]-\sqrt{100}[/tex]

Again, we can immediatly know it has a square root.

So  [tex]-\sqrt{100}[/tex] is a irrational number.

Next we have -77

This is not every going.

It doesnt have a square root.

It doesnt have a symbol.

So -77 is a rational number.

Lastly we have   [tex]-\sqrt{12}[/tex]

Like the other ones, we can imediatly tell it has a square root.

So [tex]-\sqrt{12}[/tex] is a irrational number.

Bascially, to answer further questions, here is the criteria for a number being rational:

If one of these criterias are not met, then you know its a irrational number.

Hope this helps! :D

Answer:

OPTION A& D

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

24

Step-by-step explanation:

x^2+y^3

(4)^2+(2)^3

(4)(4)+(2)(2)(2)

16+8=24

Answer:

-2x^2-6x-15=0

Step-by-step explanation:

Shift the 15 to the other side to get ax^2+bx+c

-2x^2-6x-15=0

Answer: I never had this type of question before but try -21

Step-by-step explanation:

I assume -21 because that’s the total amount of yards lost. But I don’t know

Answer:

Negative integers

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

4,5 + 1,6 = 6,1 = 6 1/10

Answer:

8/10

Step-by-step explanation: