Juan picked 12 oranges. Rami picked 4 times as many oranges as Juan. How many oranges did Rami pick?

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

4

Step-by-step explanation:

there are 3 cups in a quart

since there are 3 quarts i.e 4*3=12

since you need 3 cups to make a serving

12/3 =4 servings can be made

Answer:

a right triangle adds up to 180, so on paper just write 40 + 50 + 90 = 180

Step-by-step explanation:

The degree of the provided polynomial is 18, and the leading term is √7.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Answer:

=−129.25224x

Step-by-step explanation:

(−9.206x)(14.04)  you just simplify

Answer:

C

Step-by-step explanation:

c because it is only online period

The number of pens in stock is 31.

The ending inventory under LIFO is  $66.87.

The ending inventory under FIFO is $93.30

The ending inventory under the weighted average method is  $80.43.

The number of pencils left in stock is the difference between the total pens bought and the pens sold.

Pens in stock = pens bought - pens sold

(16 + 8 + 14 + 13 + 9 ) - 29

60 - 29 = 31

LIFO is an inventory method that assumes that the inventory bought last is the first to be sold. Ending inventory consists of earlier purchased inventory.

Ending inventory using LIFO = (16 X 2.12) + (8 X 2.15) + (7 x 2.25)

= $33.92 +$17.20 + $15.75 = $66.87

FIFO is an inventory method that assumes that the inventory bought the earliest is the first to be sold. Ending inventory consists of latest purchased inventory.

Ending inventory using FIFO = (13 x $3.20) + (14 x 3.05) + (4 x $2.25)

$41.60 + $42.7 +9 = $93.30

The ending inventory is the determined by determining the weighted average cost of inventory.

Weighted average = total value of inventory / number of inventory purchased

[ (2.15 x 8) + (9 x 2.25) + (14 x 3.05) + (13 x 3.20) + (16 x 2.12) ] / 60

= [17.2 + 20.25 + 42.7 + 41.6 + 33.92] / 60

= $155.67 / 60

= 2.59

Value of ending inventory = $2.59 x 31 = $80.43

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The explicit formula for aₙ is a formula for the nth term of this sequence aₙ = 8n + 17.

What is the explicit formula?

The explicit formulae for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by Riemann for the Riemann zeta function.

The formula for the nth term of this sequence is a_n = 8n + 17.

This means that each term in the sequence is equal to 8 multiplied by the position of the term (n) plus 17.

For example, the first term (n = 1) is 25, which can be calculated as 8 * 1 + 17 = 25.

The second term (n = 2) is 33, which can be calculated as 8 * 2 + 17 = 33, and so on.

hence, the explicit formula for aₙ is a formula for the nth term of this sequence is aₙ = 8n + 17.

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Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60

Answer:

4

Step-by-step explanation:

7*4 = 28 or 28 divided by 7 = 4

Answer: 14%

Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.

- Lizzy ˚ʚ♡ɞ˚

Answer:

9/5

Step-by-step explanation:

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).              

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

The equation for the hole

\( x^{2} + y^{2} = 5 \)   (1)

The equation for the path of the bean bag

\( y = 0.5x^{2} + 1.5x - 4 \)    (2)

By entering equation (2) into (1) we have:  

\(x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5\)

\(x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5\)    

\(0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0\)

By solving for x, we have:

x₁ = 1

x₂ = 2

Now, for y we have (eq 2):

\( y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2 \)

\( y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1 \)                                              

Therefore, the points are (1, -2) or (2, 1).

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I hope it helps you!

Answer:

The correct answer is (1,-2) & (1,-6)

Step-by-step explanation:

I took the test and got this question right!

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

The resulting expression after the expressions are subtracted is 9x - 6y

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

(-x-3y)(−x−3y) is subtracted from (8x-9y)(8x−9y)

Rewrite these expressions properly

So, we have the following representations

(−x−3y) is subtracted from (8x-9y)

When the first equation is subtracted from the second, we have the following representation

8x - 9y - (-x - 3y)

Open the brackets

So, we have

8x - 9y + x + 3y

Evaluate the like terms

9x - 6y

Hence. the solution is 9x - 6y

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Answer:

Step-by-step explanation:

Number of sides of a decagon is 10.

Sum of exterior angles is 360° for any regular polygon.

Each exterior angle of a regular decagon measures:

Answer:

C) Reflection across the x-axis.

Step-by-step explanation:

From Linear Algebra we define the reflection across the x-axis is for \(P(x,y) =(x,y)\):

\(P'(x,y) = (x, -y)\) (1)

If we know that \(A(x,y) = (-1, 2)\), \(B(x,y) =(-1,5)\), \(C(x,y) = (-3, 5)\) and \(D(x,y) =(-3, 2)\), then the reflected points are, respectively:

\(A'(x,y) = (-1, -2)\)

\(B'(x,y) = (-1,-5)\)

\(C'(x,y) = (-3,-5)\)

\(D'(x,y) = (-3,-2)\)

In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.

This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.

Given:

Transform  rectangle ABCD to rectangle A'B'C'D',

The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).

The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).

We need to determined the transformation that Kim perform to create rectangle A'B'C'D.

From Linear Algebra we define the reflection across the x-axis is for,

P(x,y) = (x,y)

P(x,y) = (x,-y)                                .....(1)

It is given that  A(-1,2), B(-1,5), C(-3,5) and D(-3,2).

Therefore from equation (1)  above point becomes,

A'(x,y) = (-1,-2)

B'(x,y) =(-1,-5)

C'(x,y) =(-3,-5)

D'(x,y) =(-3,-2)

Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.

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Answer:

The equation is y=1/2x+5

Step-by-step explanation:

Answer:

y=1/2x+5

Step-by-step explanation:

I learned this last year. I know this is the answer

Answer:

f(10) = -300

Step-by-step explanation:

f(x) = -3x^2

f(10) = -3(10)^2

f(10) = -3(100)

f(10) = -300

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

The maximum area is 12.25 square feet

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

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

he has 2 cups left

Step-by-step explanation:

(9)  5+2=7(9-7=2)

The standard form of the equation x + 3x^2 = 8x + 6 is 3x^2 - 9x + 6 = 0, and the values of a, b, and c are 3, -9, and 6.

A quadratic equation is the second-order degree algebraic expression.

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

We are given that;

The function= x + 3x^2 = 8x + 6

Now,

To rewrite the equation x + 3x^2 = 8x + 6 in standard form, we need to arrange the terms so that they are in order of decreasing degree and set the equation equal to zero:

3x^2 - 8x + 6 - x = 0

Next, we can simplify the equation by combining like terms:

3x^2 - 9x + 6 = 0

Now the equation is in standard form, which is:

ax^2 + bx + c = 0

Comparing this to the equation we have, we can see that:

a = 3

b = -9

c = 6

Therefore, by the quadratic equation the answer will be  3x^2 - 9x + 6 = 0, and 3, -9, 6, respectively.

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Answer:

433

Step-by-step explanation:

When there are 2 neatives together like that it changes to a positive. So it woud be 329+104=433

Answer: \(y=-\frac{7}{6}x-\frac{3}{2}\)

Step-by-step explanation:

The slope of the line is \(\frac{-5-2}{3-(-3)}=-\frac{7}{6}\).

So, the equation of the line is:

\(y-2=-\frac{7}{6}(x+3)\\\\y-2=-\frac{7}{6}x-\frac{7}{2}\\\\y=-\frac{7}{6}x-\frac{3}{2}\)

Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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