What is the slope of the line on the graph?

Answer:

The answer to that question is 58

The equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

We have:

g₁(x)  which is a transformed function of f(x)

f(x) shifted three units to the left.

Plug x → (x + 3)

g₁(x) = (x + 3)²

Similarly,

Equation for the function whose graph is in the shape of g₁(x), but shifted five units up.

g₂(x) =  (x + 3)² + 5

Equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.

g₃(x) =  -[(x + 3)² + 5]

Thus, the equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

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Answer:

6

Step-by-step explanation:

I counted

Answer:

xy^7 - x^a y^b = 0

Answer:

65°

Step-by-step explanation:

Since the triangle ABC is inscribed in a circle with center O, we know that the angles subtended by any chord of the circle are equal. Therefore, we have:

∠AOC = 2∠ACB (angle subtended by chord AC)

∠BOC = 2∠BCA (angle subtended by chord BC)

Substituting the given values, we get:

130° = 2∠ACB

∠ACB = 65°

150° = 2∠BCA

∠BCA = 75°

Finally, we can use the fact that the sum of angles in a triangle is 180° to find ∠CAB:

∠CAB = 180° - ∠ACB - ∠BCA

∠CAB = 180° - 65° - 75°

∠CAB = 40°

Therefore, the measure of ∠ACB is 65°.

Answer:

65

Step-by-step explanation:

Recall the arrowhead rule:

Answer:

x = 11

y = 3

Step-by-step explanation:

Okay so we know that l is parallel to m. We also know that (9x + 25) and (13x - 19) are the same because they are corresponding angles. So to find x just set them equal to each other and solve.

(9x + 25) = (13x - 19)

-9                -9

---------------------

25 = 4x - 19

+19       +19

-----------------

44 = 4x divide both sides by 4 and x equals 11

Now, we know that a straight line equals 180º so we just plug x into the first equation, and set both equations to equal 180. It should look like

(13 x 11 - 19) + (17y + 5) = 180

13 x 11 = 143

(143 - 19) + (17y + 5) = 180

143 - 19 = 124 + 5 = 129

129 + 17y = 180

-129             -129

17y = 51

Divide by 17 from both sides and y = 3

Answer:

x = 11 and y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and (13x - 19) are adjacent angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

\(m\) - slope

\(b\) - y-intercept

Given

\(m=-\dfrac{8}{7}\)

and point \((7;\ -5)\)

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

\(-5=-\dfrac{8}{7\!\!\!\!\diagup}\cdot7\!\!\!\!\diagup+b\)     cancel 7

\(-5=-8+b\)           add 8 to both sides

\(-5+8=-8+8+b\)

\(3=b\to b=3\)

Therefore we have the equation of the line:

\(y=-\dfrac{8}{7}x+3\)

Substitute (x, 3) to the equation:

\(3=-\dfrac{8}{7}x+3\)          subtract 3 from both sides

\(3-3=-\dfrac{8}{7}x+3-3\)

\(0=-\dfrac{8}{7}x\)           divide both sides by (-8/7)

\(0=x\to x=0\)

The graph of the function h(x) is attached below.

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given function is h(x) = √(x-2) + 3

The radical function is always positive.

Therefore,

x - 2 ≥ 0

x ≥ 2

The domain of the function is [2, ∞)

The value of h(x) is at the lowest value of x that is x = 2.

h(2) = √(2-2) + 3

h(2) = 3

The range of the function is [3, ∞)

The starting point of the function is (2,3).

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Answer:

21

Step-by-step explanation:

Step 1:

10x + 14 = 64

Step 2:

10x = 50

Step 3:

50 ÷ 10

Step 4:

x = 5

Step 4:

15 + 6

Answer:

21

Hope This Helps :)

Answer:

7x+8+3x+6=64

10x+14=64

10x=50

X=5

BC=3 x 5+6= 21

Answer:

x=1+

2

,x

x

−1

,x

2

x

+1

,x

2

x

−1

2

,x

3

x

+1

3

I assume you want me to simplify the expression you provided. To simplify it, we can combine the terms that have the same denominator and then simplify each term individually.

First, let's find a common denominator for all the terms:

x+2(x-1)^2(x+1)^3 - 2(x-1)^2 - 3(x+1)^3

Next, we can simplify each term individually:

x: This term has the same denominator as the common denominator, so we can just write x as (x+1)^3/(x+1)^3.

2/(x-1)^2: This term has a denominator of (x-1)^2, so we can write it as 2/(x-1)^2.

-2/(x-1)^2: This term is already in its simplified form.

-3/(x+1)^3: This term has a denominator of (x+1)^3, so we can write it as -3/(x+1)^3.

Putting it all together, we get:

x+2(x-1)^2(x+1)^3 - 2(x-1)^2 - 3(x+1)^3

= (x+1)^3/(x+1)^3 + 2/(x-1)^2 - 2/(x-1)^2 - 3/(x+1)^3

= (x+1)^3/(x+1)^3 - 3/(x+1)^3

Therefore, the simplified expression is:

(x+1)^3/(x+1)^3 - 3/(x+1)^3

Simplifying further, we get:

1 - 3/(x+1)^3

So the final simplified expression is:

1 - 3/(x+1)^3

Answer:

4x+3y-23=0

Step-by-step explanation:

4x+3y-23=23-23

4x+3y-23=0

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

The first four-term of the sequence is found by the given equation \(a_{n-1} = 4a_n\) is given as 144, 36, 9, and 9/4.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

\(\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n\)

And

\(a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}\)

For n = 4, we have

\(\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9\)

For n = 3, we have

\(\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36\)

For n = 2, we have

\(\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144\)

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Answer:

144

36

9

Step-by-step explanat

Tt takes 1.5 min of time  to travel a distance of 1 km by bus

Since here we need to find the time, which basically depends on the speed of the bus, as we know the formula we refer to for calculating the time is distance/speed, here we are provided with the distance which is  1km also equal to 1000m. Now considering a normal condition where the speed of  the bus is h 40km per hour, therefore

=>Distance = Speed × Time

=?1km = 40 Km/hr × Time

Time = 1/40 hr = 0.025 hr ,Which is almost 1.5 min

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Answer:

11111, 111111

Step-by-step explanation:

that is how sequences work

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

It is difficult to determine which sample will be the most representative without more information.

There are a few factors to consider when evaluating the representativeness of a sample:

Sample size: Larger sample sizes are generally more representative because they include more individuals, which makes it less likely that the results will be biased.

Sampling method: Random sampling methods, such as Ruth's method of calling randomly selected registered voters, are generally more representative than other methods because they aim to include a representative sample of the population.

Population: The population being surveyed will also impact the representativeness of the sample. For example, if Levonia's friends are not representative of the general population, her sample may not be representative.

Overall, it is important to consider all of these factors when evaluating the representativeness of a sample.

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-2x-6 =3x-21

Move all the variable terms ( the ones that have the x variable) to the left side of the equation:

-2x-3x = -21+6

Combine like terms

-5x = -15

Divide both sides of the equation by -5:

-5x/-5 = -15 /-5

x = 3

Answer:

Step-by-step explanation:

To find the exact surface area of the cone, we need to know the slant height of the cone. Since we are not given the slant height, we can use the Pythagorean theorem to find it:

Slant height² = h² + r²

Slant height² = 4² + 3²

Slant height² = 16 + 9

Slant height² = 25

Slant height = 5

Now that we know the slant height, we can use the formula for the surface area of a cone:

Surface area = πr² + πr×s

where s is the slant height

Surface area = π(3²) + π(3)(5)

Surface area = 9π + 15π

Surface area = 24π

Therefore, the exact surface area of the cone is 24π square units.

The surface area of a cone is given by:

Surface area = πr² + πr×s

where r is the radius of the circular base and s is the slant height.

We are given that the diameter of the circular base is 6 inches, so the radius is 3 inches. We are also given that the slant height is 8 inches. Using these values, we can calculate the surface area of the cone:

Surface area = π(3²) + π(3)(8)

Surface area = 9π + 24π

Surface area = 33π

We can approximate π as 3.14, so:

Surface area ≈ 33(3.14)

Surface area ≈ 103.62

Therefore, the approximate surface area of the cone is 103.6 in², which is closest to option (B).

Answer: y = 5x - 2

Step-by-step explanation:

3 - - 2 = 5

1 - 0 = 1

5/1 = 5    M= 5

y = mx+b

3 = 5(1) + b

3 = 5 + b

-5     -5

-2 = b

y = 5x - 2

Answer:

3 9/40 is the answer The decimal form of that is 3.225

Step-by-step explanation:

Explanation is on image, using calculator.

Answer:

it is 3 9/40 or 129/40

Step-by-step explanation:

hope that helps

Answer:

its 750

Step-by-step explanation:

because its 804 combined and 804-54=750 and 750+54=804

750 I agree with the other person

The gate code to a gated community consists of the # key, followed by 3 letters chosen from the English alphabet, followed by 3 digits. The total number of possible gate codes is 17.576,000.

To find the total number of possible gate codes for the gated community, we need to determine the number of choices for each part of the code and multiply them together.
1. The gate code starts with the # key, which is constant, so there's only 1 choice for this part.
2. The next part consists of 3 letters chosen from the English alphabet. There are 26 letters in the alphabet, and each of the 3 positions can be filled with any of those letters. So, the number of choices for this part is 26 * 26 * 26.
3. The last part of the code consists of 3 digits. Since there are 10 digits (0-9), there are 10 choices for each digit. Therefore, there are 10 * 10 * 10 choices for this part.
Now, we'll multiply the number of choices for each part together to get the total number of possible gate codes:
1 * (26 * 26 * 26) * (10 * 10 * 10) = 1 * 17576 * 1000 = 17,576,000
So, there are a total of 17,576,000 possible gate codes for the gated community.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Dissatisfied customers are likely to share their negative experiences with an average of 9-15 people, but with the reach of social media, their impact can be significantly amplified, potentially influencing a wider audience and damaging a salesperson's reputation and sales.

When dissatisfied with a product or service, customers are more likely to share their negative experiences with others. The exact number of people they may tell can vary, but it's often cited that dissatisfied customers will share their negative experiences with an average of 9 to 15 other people.

This number can increase significantly in the age of social media, where dissatisfied customers have the ability to reach a much larger audience through online platforms and reviews. Therefore, it's crucial for salespeople to address customer concerns and ensure customer satisfaction to prevent negative word-of-mouth and potential damage to their reputation.

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Answer:

------------------------------------------------

A linear equation is an equation of a straight line.

It describes the straight-line graph of a set of ordered pairs (x, y) that are solutions to the equation.

There are different forms of linear equations.

The slope-intercept form of a linear equation is y = mx + b.

The equation y = -2x + 10 is in slope-intercept form. Its graph is a line with slope -2 and y-intercept 10. It shows the set of all solutions to the equation.

As per description above, the correct answer choice is B, all the other options are false.

Answer:

A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D