1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and the sum of the ages of all 3 is 147 years, what is the age difference between oldest the
youngest?​

The answer is (C) 12+10\(\sqrt{3\\\) !

9514 1404 393

Answer:

Step-by-step explanation:

The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.

That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.

If k is subtracted, instead of added, then the point will be moved downward.

The blanks are supposed to be filled with positive , and negative .

_____

Comment on the question

The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.

If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.

Answer:

Step-by-step explanation:

-3y<-14

divide both sides by -3

y<4.67

i’m not exactly sure what the question is asking or what you’re trying to find, but this is what i could figure out.

Answer:

y>14/3

I'll provide the step by step solution too.

=3y÷(-3)>-14÷(-3)

y>-14÷(-3)

y>14÷3

turn it into a fraction

y>14/3

hence your given answer above

Answer:

Step-by-step explanation:

(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.

The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).

In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:

C(x) = 8x + 100.

(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):

AC(x) = C(x) / x.

Substituting the linear cost function C(x) = 8x + 100, we have:

AC(x) = (8x + 100) / x.

(c) To find C(5), we substitute x = 5 into the linear cost function:

C(5) = 8(5) + 100

= 40 + 100

= 140.

Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.

(d) To find C(50), we substitute x = 50 into the linear cost function:

C(50) = 8(50) + 100

= 400 + 100

= 500.

Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.

(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.

Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.

In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.

Answer:

it is A bacause the fractions for that one are correct

Step-by-step explanation:

Answer:

f(x)=4(2)^x-1, or f(1)=4,f(x)=f(x-1)(2)

Step-by-step explanation:

The first equation above is the Explicit Geometric Formula, while the equation on the right is the Recursive Geometric Formula. This is how you find both.

Explicit Geometric Formula:

The formula for this is f(x)=a(r)^x-1, a being the first term, and r being the common ratio.

A, our starting term, or first term, is x = 1, and the term is 4, since that is the corresponding y to x = 1.

Our common ratio is 2, because as x increases by 1, y doubles.

Recursive Geometric Formula:

The formula for this is f(1)=a,f(x)=f(x-1)(r), a being the first term, and r being the common ratio.

As said above, A is 4, and r is 2.

Plug it in and you get f(1)=4,f(x)=f(x-1)(2)

The missing number to complete the linear equation is 89 and the equation that gives the rule for this table is; y = x + 89

The equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept which is the point at which x = 0

From the table given, we see the coordinates as;

(1, 90), (2, 91), (3, 92), (4, 93)

Thus, we can easily say that the coordinate that precedes (1, 90) must be (0, 89)

Thus, the y-intercept is 89 and since the slope is 1, the equation of the line is; y = x + 89

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Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:

D. 44.79%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = a/b x 100%

In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:

P = 43/96 x 100% = 44.79%.

Hence option D is correct.

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Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

$0.50

Step-by-step explanation:

.

Answer:

35

Step-by-step explanation:

yessir I think that's what I put on the test

Answer: normal formula define the cup full of is Q -2+ you and me 32,000 you’re welcome

Step-by-step explanation:

Answer:

$840.77

Step-by-step explanation:

Answer:

y = -10x -6

Step-by-step explanation:

The solution is :

the center of the circle is (-10,8)

Third option is correct.

Here, we have,

The equation of the circle is  (x+10)^2 + (y-8)^2=17

This equation can be rewritten as

(x- (-10) )^2 + (y-8)^2=17

The standard form of the circle is given by

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

, where (h,k) is the center of the circle.

On comparing the given equation of circle with the standard form

h = -10, k = 8

Hence, the center of the circle is (-10,8)

Third option is correct.

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Answer:

2-X 6.0

Step-by-step explanation:

Answer:

your answer is right answer is 4

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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The three inequalities that define the region R are:

y ≤ -2x + 6

x ≤ (2/5)y

x ≥ (3/2)y - (2/3)

An inequality is a statement that two values or expressions are not equal. In other words, it is a statement that one value or expression is greater than or less than another. Inequalities are commonly used to describe relationships between numbers or variables.

To write down the three inequalities that define the region R, we need to identify the equations of the three boundary lines that enclose the shaded region.

From the equations given, we can rearrange them to get the equations of the three lines:

2x + y = 6 => y = -2x + 6

2y = 5x => y = (5/2)x

3y + 2x = 4 => y = (-2/3)x + (4/3)

To determine the inequalities that define R, we need to figure out which side of each boundary line is the shaded region.

The line y = -2x + 6 is the upper boundary of R. To be inside R, we need y to be less than or equal to -2x + 6, so the first inequality is:

y ≤ -2x + 6

The line y = (5/2)x is the right boundary of R. To be inside R, we need x to be less than or equal to 2/5y, so the second inequality is:

x ≤ (2/5)y

The line y = (-2/3)x + (4/3) is the left boundary of R. To be inside R, we need x to be greater than or equal to 3/2y - 2/3, so the third inequality is:

x ≥ (3/2)y - (2/3)

Therefore, the three inequalities that define the region R are:

y ≤ -2x + 6

x ≤ (2/5)y

x ≥ (3/2)y - (2/3)

Each of these inequalities individually describes a half-plane, and their intersection is the shaded region R in the diagram.

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Five bottles of orange juice cost $5.05.

To answer this question, we first need to find out the price of one bottle of juice. As we know that Mia bought 10 bottles for $10.10 total, the price of one bottle of juice can be found by dividing the total cost by the number of bottles. So, $10.10 divided by 10 equals $1.01. This means that each bottle of orange juice costs $1.01.

Now that we know the cost of one bottle of juice, we can calculate the cost for 5 bottles. This can easily be done by multiplying the cost of one bottle by 5. Therefore, $1.01 multiplied by 5 equals $5.05.

So, five bottles of orange juice cost $5.05.

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Answer:

40

Step-by-step explanation:

12 + 28

Answer:

40°

Step-by-step explanation:

So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Understanding the Absolute Value.

First, know what the absolute value is.

The absolute value is the value that determines how far the value is from 0.

For example, The absolute value of -5 is far from 0 5 units. Therefore the absolute value of -5 equals 5.

Basic Absolute Value Defines

| a | = a

- | a | = -a

| - a | = a

Back to the question. To evaluate those expressions, we use the defines of absolute value.

|-16| = 16

|-1| = 1

16-(1)

Then remove the brackets. 16 - 1 = 15

Therefore, the answer is 15.

The answer above is when being subtracted and evaluated from both 16-1

Evaluating for each expressions would be

|-16| = 16

-|-1| = -1

Answer:

The brown house has the longer driveway

Step-by-step explanation:

So we would need to convert both of these units of measurements to feet in order to compare them.

Converting yards to feet, wee need to multiply the number of yards by 3

Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet

Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.

The brown house has the longer driveway

Answer:

-10

Step-by-step explanation:

5 - 8 is -3, -3 x 4 is -12, + 2 is -10

Answer:

The set of solutions are linearly independent because the wronskian is

e^(2ax) ≠ 0

Step-by-step explanation:

To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.

Wronskian of y1 and y2 is given as:

W(y1, y2) = y1y2' - y1'y2

y1 = e^(ax)

y1' = ae^(ax)

y2 = xe^(ax)

y2' = axe^(ax) + e^(ax)

W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)

= (ax + 1)e^(2ax) - axe^(2ax)

= e^(2ax)

The wronskian of the given set of solutions is e^(2ax), which is not zero.

Because it is not zero, the set of solutions are linearly independent.

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

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