F(x) = X. What Is G(x)?(2,1) (2024)

Answer:

center: (4, 6)radius: 3

Step-by-step explanation:

You want the center and radius of the circle defined by ...

x² +y² -8x -12y +43 = 0

Completing the square

We can separate the constant term and complete the squares involving the x- and y-terms.

x² +y² -8x -12y = -43

(x² -8x +16) +(y² -12y +36) = -43 +16 +36

(x -4)² +(y -6)² = 9

Parameters

The standard form equation for a circle is ...

(x -h)² +(y -k)² = r² . . . . . . circle with radius r and center (h, k)

Comparing this to the equation we have, we see that ...

(h, k) = (4, 6)

r² = 9 ⇒ r = 3

The center is (4, 6) and the radius is 3.

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Answer:

1. Which item gave the store about 1/4 of its profit?

1/4 = 1 ÷ 4 = 0.25

0.25 x 100% = 25%

As seen in the pie chart, the item with about 25 % is pots and pan earning 22% of the profit.

Answer: pots and pans

2. If the profits from eating and cooking utensils were combined, would it be exceeding the profit earned from plates? Explain.

From the graph, eating utensils make up 10% of the profit earned while cooking utensils make up 14%.

10% + 14% = 24%

Comparing the combined profit percentage of eating and cooking utensils to the profit percentage of plates, plates still earn more.

24% < 38%

Answer: No because the eating and cooking utensils, despite earning a combined profit of 24%, is still less than that of the plates' which is 38%.

3. Which two kinds of items gave the store half of its total profit?

Looking at the pie chart, we are to determine which two items will total to 50%. This is fully trial-and-error.

We can see that the plates with 38% and the glasses of 12% total to 50% which is half of the total profit earned in the sale.

Answer: plates and glasses

4. If the total profit earned was P45,000, how much profit was earned from pots and pans?

The formula to get the profit is:

Profit (pots and pans) = Total profit earned x Percentage of profit (pots and pans)

We simply substitute the formula with the given.

Profit = P45,000 x 22%

Profit = P9,900

Answer: P9,900

5. Which three categories gave a combined profit that is the same as that earned from the plates?

Looking at the pie chart, we are to determine which three categories will total to 38%, which is the percentage earned from plates. This is fully trial-and-error.

We can see that the pot and pans with 22%, the glasses with 12% and the others with 4% sum up to make 38% of that of the plates' percentage of profit earned.

Answer: pots and pans, glasses, others

Step-by-step explanation:

Please see the attached picture for the step-wise solution! ^__^

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Answer:

x=5, y=-10

Step-by-step explanation:

y = x²-10x+15 --- eqn 1

y = -10 --- eqn 2

Sub eqn 2 into eqn 1:

x²-10x+15 = -10

x²-10x+15+10 = 0

x²-10x+25 = 0

(x-5)² = 0

x-5 = 0

x = 5

Answer:

A B C D E EF

SSttep-by-step explanation:

Answer:

Im only assuming, but the options may be
A) legal
B) illegal

Step-by-step explanation:

The correct answer is
A) legal

On edge, I did the assignment and it's right

Answer:

d - 9 < -7

Step-by-step explanation:

Plug in -15 for d. So -15 - 9 which give you -24. -24 is less than -7

The inequality equation is d - 9 < -7 , when d = -15

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

d - 9 < -7 be equation (1)

when d = -15

Substitute the value of d = -15 in the equation , we get

-15 - 9 < -7

-24 < -7

Therefore , the inequality relation satisfies the condition

Hence , the inequality equation is d - 9 < -7

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So if they have 90 pairs of sneakers together. You could say; 3x = 90
( this 3x comes from Sherrie’s twice, 2, and Manuel himself )

this would give us x = 30, but since she has twice as much as him. you double this to get 60.

so Sherrie will have 60 shoes and Manuel will have 30.

Answer:

A) -64

Step-by-step explanation:

[tex]d=-6,\:a_n=-6n+20[/tex]

-6 * 14 + 20

-84 + 20

-64

Answer:

[A] -64

Step-by-step explanation:

Let first find the squence of each:

14,8,2,-4,-10

1st term : 14

2nd term : 8 {-6}

3rd term: 2 {-6}

4th term: -4 {-6}

5th term: -10 {-6}

6th term: -16 {-6}

7th term: -22 {-6}

8th term: -28 {-6}

9th term: -34 {-6}

10th term: -40 {-6}

11th term: -46 {-6}

12th term: -52 {-6}

13th term: -58 {-6}

14th term: -64 {-6}

Thus, the 14th term is -64 also known as [A] -64

Lenvy

Answer: The answer is 1.30

Step-by-step explanation: Because if you add the whole itt equal 1 and 3/10 is .30 which equals 1.30

Answer:

1.3

Step-by-step explanation:

We assume that each square in the model represents 1 unit. Each square is divided into 10 parts, so each of those strips represents 1/10 unit, or 0.1 when written in decimal.

There are 3 of the 0.1-unit strips colored in the second square, representing 0.3 units. The number represented by the shaded portion of the model is ...

1 + 0.3 = 1.3

Answer:

x = -4, 10

Step-by-step explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

[tex](x-3)^2=49[/tex]

[tex]\sqrt{(x-3)^2} =\sqrt{49}[/tex]

[tex]x-3=+-7[/tex]

[tex]x=3+7=10[/tex]

[tex]x=3-7=-4[/tex]

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of [tex]\sqrt{49}[/tex]

The function y = 2 superscript x baseline 5 belongs to an exponential family and is denoted as option C.

What is Exponential function?

This is defined as a function whose value is a constant raised to the power of the argument and is denoted as e^{x}

In this case, the constant is denoted as 2 which is raised to the power of x thereby making it an exponential function.

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Answer:

The Definition of Speculative Investments. Speculative investments are long-term investments rooted in a thesis that’s not currently provable —but could become provable in the future.

Step-by-step explanation:

for example nderstanding Speculative Risk. A speculative investment is one where the fundamentals do not show immediate strength or a sustainable business model.

speculative investment.

an investment that carries a high level of risk of loss, or the activity of investing in these types of investment: The more people use housing as a form of speculative investment, the greater the risk of surges and collapses in value.

Answer: D

Step-by-step explanation:

You have the two pairs of given angles, and that side XV is congruent to itself by the reflexive property.

Part 1: DefinePart 1i) Defining "adjacent angles"

In this case, adjacent angles are such pairs of angles that are alongside each other. Therefore, we can say that the sum of the two adjacent angles forms a bigger angle.

Part 1ii) Defining "vertical angles"

In this case, vertical angles are such angles that are on opposite sides of the intersection between two lines. It is understood that vertically opposite angles are equivalent.

Part 2: SolveProblem 8:

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

As we can see a [tex]\square[/tex], we can tell that the sum of the measure of ∠x and the other angle is 90°. Therefore, we obtained;

⇒ ∠x + 35 = 90⇒ ∠x = 90 - 35⇒ ∠x = 65°

Therefore, the measure of ∠x is 65°.

Problem 9:

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are on opposite sides. Therefore, we can tell that the angles are vertically opposite angles.

As stated in part 1ii, vertical angles are equivalent. Since ∠x and the other angles are vertically opposite angles, the measure of ∠x is 128°.

Problem 10:

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

Since the line shown, is a straight line, we can tell that the sum of 117 and x is 180. Therefore, we obtain the following equation;

117 + ∠x = 180°

When isolating x, we get;

⇒ 117 + ∠x - 117 = 180° - 117⇒ ∠x = 180° - 117⇒ ∠x = 63°

Therefore, the measure of ∠x is 63°

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Answer:

1.75

Step-by-step explanation:

number = (5÷4) + 1/2

= 1.75

Answer:

B. L & N

Step-by-step explanation:

Hello!

The missing angle in Triangle L can be determined by subtracting 90° and 30° from 180°, which gets us 60°.

The other triangle that has 90° and 60°, N, has a missing angle of 30°.

Both triangles L and N have the same angles, thus following the Angle-Angle criteria.

The other two triangles, M and O, have the missing angles of 35° and 45°, respectively.

Remember: The sum of angles in a triangle is 180°.

Answer:

The graph shifts to the right 5 units

Step-by-step explanation:

When you add or subtract a value directly from the "x" value, the graph moves to the left or right. If you add a number, the graph moves to the left because you are making the "x" value larger. If you subtract a number, the graph moves to the right because you are making the "x" value smaller. The graph moves up/down if you add/subtract a number to the entire function, not just the "x" value.

Answer:1350

Step-by-step explanation:

7500/250=30

30x45=1350

The volume of the dodge ball is greater than that of soccer ball by a number of 4.11 times

What is the volume of a sphere?

The volume of a sphere can be defined as the amount of space occupied within a sphere.

The formula for calculating the volume is:

V = 4/3 πr∧ 3

Where π = 3.14

radius of the dodge ball = 10in

radius of the soccer ball = 3in

Volume of the dodge ball = 4 ÷ 3 × 3.14 × 10 × 10 × 10 = 4÷ 3 × 3140 = 1.3 ×3140 = 453. 33in∧3

Volume of the soccer ball = 4 ÷ 3 × 3.14 × 3 × 3 × 3 = 1.3 × 87.78 = 110. 214in∧3

To determine the ratio of volume of the dodge ball to the soccer ball, divide that of the soccer ball from the dodge ball.

= 453. 33 ÷ 110. 214 = 4.11

Therefore, the volume of dodge ball is greater than that of the soccer ball by 4.11 times.

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Answer:

13.2 centimeters

Step-by-step explanation:

Finding the missing side

(?)² + (9)² = (16)²?² + 81 = 256?² = 175? = √175? = 13.2 centimeters

Hey mate ,

In this question we have given the length of hypotenuse and base of a right angle triangle and asked us to find the perpendicular length

Hypotenuse = 16cmbase = 9cm

According to Pythagoras theorem ,

Hypotenuse² = Perpendicular²+base²

16cm² = (P)² + 9cm²

256 - 81 cm = P²

√175 cm = P

Perpendicular = 13.22 cm

The height of the surface increases, then decreases, from the center out to the sides of the road.

What is quadratic equation?

The polynomial having a degree of 2 is defined as the quadratic equation it means that the variable will have a maximum power of 2.

Let

y------> the height of the surface

x------> the road

we know that

The quadratic regression graphed represent a vertical parabola open downward

The function increase in the interval --------> (-5,0)

The function decrease in the interval --------> (0,5)

therefore

The height of the surface increases, then decreases, from the center out to the sides of the road.

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Answer:

c

Step-by-step explanation:

The height of the surface increases from the center out to the sides of the road.

Based on the evaluation of Faith's register, faith did a good job; everything is correct

Evaluation of Faith's register

Balance in checking account = #1,100less miller's food market = 49.51less speedy auto repair = 144.85less Sandra's beauty salon = 25.00

= 880.64

Add paycheck = 583.67

= $1,464.31

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Answer:

-1.166666667

Step-by-step explanation:

Since there are five lines in between -2 and -1 you need to divide 1 by 6 and when you do that you get .166666667. Since the point is on the first line you add that to one to get 1.166666667 and since it is on the negative side of the number line the number has to be negative.

Based on the data given by the table on the number of lines of codes written per people are working, the best model would be y = 27x - 4.

Which model would be best?

The best model would be the one that gives y values that are closest to the number of codes written hourly per number of people working.

That model would be y = 27x - 4 which gives the results:

x Predicted y

2 50

4 104

6 158

8 212

10 266

12 320

These predicted y values are the closest to the actual y values which makes this the best model.

Full question is:

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-column table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320.

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Answer:

D. y=27x-4

Step-by-step explanation:

I just took the test on Edge

Answer:

i think it is x=6/25 and y= 16/25

Step-by-step explanation:

Answer:

cos C = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

this is a 5- 12- 13 right triangle with BC = 12 , then

cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

Answer: six square root of five minus four square root of fifteen

In symbolic form the answer looks like [tex]\boldsymbol{6\sqrt{5} -4 \sqrt{15}}[/tex]

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

Work Shown:

[tex]\sqrt{5}\left(6 - 4\sqrt{3}\right)\\\\\sqrt{5}\left(6\right) + \sqrt{5}\left(-4\sqrt{3}\right)\\\\6\sqrt{5} -4 \sqrt{5*3}\\\\6\sqrt{5} -4 \sqrt{15}\\\\[/tex]

The basic idea is to distribute the outer term [tex]\sqrt{5}[/tex] to each term inside. From there you simplify.

For the second to last step, I used the rule that [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]