Find the value of x if m¿CDA = 9x+3 and mLEDA=6x+15

For the function {y = g(2x) - 1}, the slope will be {m} = 2a and the {y - intercept would be {c} = b - 1.

In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective.

Given is the function g(x).

Since the function g(x) is not given, we can assume -

g(x) = ax + b                           .... Eq { 1 }

Now, we can write -

y = g(2x - 1) - 1

y = (2ax + b) - 1

y = 2ax + (b - 1)

So, the new slope will be -

{m} = 2a

{c} = b - 1

Therefore, for the function {y = g(2x) - 1}, the slope will be {m} = 2a and the {y - intercept would be {c} = b - 1.

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Using metric units, the cost of rice in London is ₤0.85 per pound

To solve this problem, we need to convert the price per kilogram to price per pound.

We can use the conversion factor of

1 pound = 0.454kg

And

$1 = ₤1.18

Let's proceed to convert from kilogram to pounds since the currency is already in the desired unit.

1lb = 0.454kg

x = 1kg

x = 1 / 0.454

x = 2.2lb

This implies that

₤1.88 = 2.2lb

x = 1lb

x = (1.88 * 1) / 2.2

x = 0.85

This becomes ₤0.85 per pound

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Answer:

18541.89/9 = $2060.21 is the answer

Step-by-step explanation:

Total college tuition = $18541.89

Number of equal payments = 9

Equal payments = 18541.89/9

                           = $2060.21

(Please do correct me if I'm wrong as I'm not completely sure)

We will solve as follows:

First, we are given one angle (35°) and since the problem describes a distance with respect to that angle we will have that the angle belongs to a rigth triangle.

Now, we will find the supplementary angle "s":

Now, we determine the distance with the information given:

So, the ship is approximately 284 feet from the base of the lighthouse.

Here we can see the angle of depression, so we need to find the angle that is complemetary to it "a", so when they are added equals 90°:

angle of depression + angle "a" = 90°.

Then:

Answer: 3 hours

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

It would be 16!!!

The value of the exponent numerical expression (-1/2)⁻⁴ will be 16. Then the correct option is D.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (-1/2)⁻⁴

Simplify the equation, then we have

⇒ (-1/2)⁻⁴

⇒ (-2)⁴

⇒ -2⁴

⇒ 16

The value of the exponent numerical expression (-1/2)⁻⁴ will be 16. Then the correct option is D.

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Answer:

849000

Step-by-step explanation:

Anahdhsiendhd

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Type of Fund___No of fund(a) __total return%(b)

Domestic Equity____9191________4.65

International Equity__2621_______18.15

Specialty Stock______1419______11.36

Hybrid____________2900______6.75

A) weighted average :

Σa.b /Σa = (9191 * 4.65) + (2621 * 18.15) + (1419 * 11.36) + (2900 * 6.75) / (9191 + 2612 + 1419 + 2900)

= 126004.14 / 16122

= 7.8156643

B) Using the number of funds as weight poses a difficulty as it considers the cost of funds rater than it's value. Hence, the higher the cost, the higher the return. Value of funds would have been a better weight parameter.

C) c. Suppose you had invested $10,000 in mutual funds at the beginning of 2007 and

diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock funds, and $1000 in Hybrid

funds. What is the expected return on the portfolio?

Expected return = Σ (p)*(x)

= (2000*4.65) + (4000*18.15) + (3000*11.36) + (1000*6.75) = $122,730

The value of x that makes the relation a function is 3.

Option A is the correct answer.

We have,

A = (5, 3), (4, 9), (7, 2), (x, 6)

Given the points (5, 3), (4, 9), (7, 2), and (x, 6), we need to ensure that x does not repeat in the relation.

If we substitute the given values of x (3, 4, 5, 7) into the relation, we find:

For x = 3: (3, 6)

For x = 4: (4, 6)

For x = 5: (5, 6)

For x = 7: (7, 6)

Now,

A function can not have the same output for the same input.

So,

(4, 6) and (4, 9) are not possible.

(5, 6) and (5, 3) are not possible.

(7, 6) and (7, 2) are not possible.

And,

(3, 6) is possible

Thus,

The value of x that makes a function is 3.

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Let's analyze Jenny's bowling expenses, considering the cost of renting bowling shoes and the price per game. By determining the total amount she paid and using the given information, we can calculate the number of games Jenny bowled.

Step-by-step explanation:

Let's set the number of games Jenny bowled as 'x'.

Jenny paid $2.75 for renting the bowling shoes and $4.25 for each game. The total amount she paid is $24.

The total amount Jenny paid for the games can be represented as: $4.25 * x.

So, the equation can be set up as:

$2.75 + $4.25 * x = $24.

To find the value of 'x', we need to solve the equation.

Subtracting $2.75 from both sides:

$4.25 * x = $24 - $2.75.

$4.25 * x = $21.25.

Dividing both sides by $4.25:

x = $21.25 / $4.25.

x = 5.

Answer: Therefore, Jenny bowled a total of 5 games.

Answer:

Step-by-step explanation:

20=total marbles

  7/20 × 6/20=  21/400   or 5.25%

   red     white

Answer:

Estimated cost per capsule = 4.288 (penny)

Step-by-step explanation:

Given:

Cost of 1000 capsule = $42.88

Number of capsules = 1000

Find:

Estimated cost per capsule

Computation:

1 dollar = 100 penny

So,

$42.88 = 4288 penny

Estimated cost per capsule = 4288 / 1000

Estimated cost per capsule = 4.288 (penny)

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer: 1.221

Step-by-step explanation: The decimal goes up by 2 places.

Answer:

The decimal goes up by 2 places

Step-by-step explanation:

The function is not continuous at a = 2 because f(2) is undefined.

The continuity checklist involves checking whether the function is defined, approaches a finite value, and has a finite value at the point in question. Since f(2) is undefined, this means that the function is not continuous at a = 2.

A function is a mathematical relationship between a set of inputs (known as the domain) and a set of outputs (known as the range). Functions can be represented in a number of ways, including graphically, algebraically, and verbally. Functions are used to model real-world relationships, and they can be used to make predictions or to understand complex phenomena.

There are many different types of functions, including linear functions, quadratic functions, exponential functions, logarithmic functions, and trigonometric functions, among others. Functions can also be combined or manipulated in various ways, such as composing functions, finding inverse functions, or transforming functions.

The function is not continuous at a = 2 because f(2) is undefined.

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The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

A

Step-by-step explanation:

Answer:

79 of the questions were right/coreect

Step-by-step explanation:

if you have 100 quesions and you get 79% done and correct then you did 79 answers right

Answer:

14+x

Step-by-step explanation:

Answer:

obtuse

Step-by-step explanation:

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

In the above problem, it's given that one of the angles of the triangle exceeds 90° [ that is : 97° ]

\( \qquad \large \sf {Conclusion} : \)

hence, it's an obtuse angled triangle

Answer:

I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.

Step-by-step explanation:

For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.

(a) When measuring angle 9 and the lengths of AB and BC, one observation is required.

(b) The line drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord, while the line drawn from the center of a circle to an endpoint of a chord bisects the chord.

a) In the given diagram, we have angle AOB (angle 9) and line segments AB and BC.

To measure angle 9, we use a protractor. We align the baseline of the protractor with the line segment OA, ensuring that the center point of the protractor coincides with the vertex O. Then, we read the degree measurement where the line segment OB intersects the protractor. Let's assume the measurement of angle 9 is x degrees.

To measure the length of line segments AB and BC, we use a ruler. We align the ruler with the line segments and read the length in units (e.g., centimeters or inches).

b) The statements to complete are:

(i) The line drawn from the center of a circle to the midpoint of a chord will be perpendicular to the chord.

(ii) The line drawn from the center of a circle to the endpoint of a chord will bisect the chord.

In a circle, the center of the circle lies on the perpendicular bisector of any chord. This means that if we draw a line from the center of the circle to the midpoint of a chord, it will be perpendicular to the chord (statement i). Similarly, if we draw a line from the center of the circle to one of the endpoints of the chord, it will bisect the chord into two equal parts (statement ii).

These properties hold true for any chord in a circle, and they are based on the geometric properties of circles and perpendicular bisectors.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

108

Step-by-step explanation:

Answer:

Using long division

Step-by-step explanation:

Because 972 is not easily divisible by 9, you must use long division to gain a decimal point or two to make it accurate.

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

1/5 is the simplified fraction

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

D. y = -2x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m is slope

b is y-intercept

Step 1: Define variables

m = -2

b = -3

Step 2: Substitute

y = -2x - 3

Answer:

D

y = -2x -3

Step-by-step explanation:

Hey there!

A linear equation starts with y.

y =

The slope is X (-2)

y = -2x

The y-intercept is -3

y = -2x - 3

~I hope I helped you! :)~