Which three test points could be used to draw the graph of the solutions to
X^2+2x-1=0?

Answer:

12, 13, 14, 15, 16, 17, 18, 20, 17

The data set with mode 17 and median 16 is third data set.

Mode of a data set is the value that occur most frequently in a data set.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given are three data sets.

For the first one,

12, 12, 18, 13, 17, 15, 17, 17, 15

Mode = 17  [Since it is repeated most 3 times]

To find median, arrange in ascending order.

12, 12, 13, 15, 15, 17, 17, 17, 18

Three are 9 elements. The middle element is the 5th element.

Median = 15

For the second one,

20, 19, 17, 18, 16, 13, 12, 13, 11

Mode = 13  [ since it is repeated most, 2 times]

Arranging in ascending order,

11, 12, 13, 13, 16, 17, 18, 19, 20

Again the middle element is the 5th element.

Median = 16

Hence the correct option is third data set.

Learn more about Mode and Median here :

https://brainly.com/question/300591

#SPJ7

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

2-1

4- 2

8-1

10-1

12-1

7-2

14-1

15-1

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

Answer:

Step-by-step explanation:

The surface area of a sphere is given by the formula:

S = 4πr^2

where S is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 60 square feet. Using the formula above, we can solve for the radius:

60 = 4πr^2

Dividing both sides by 4π, we get:

15/π = r^2

Taking the square root of both sides, we get:

r = sqrt(15/π)

Using 3.14 as an approximation for π, we can evaluate this expression:

r ≈ sqrt(15/3.14)

r ≈ 2.20

Therefore, the best approximation for the radius of the sphere is 2.20 feet.

Answer:

Radius is 2.18

Step-by-step explanation:

;)

Answer:

see below

Step-by-step explanation:

For the first question, you should multiply the scale dimension by 30 to get the actual dimension. This is because the scale is 1:30 where the scale dimension is the 1 and the actual dimension is 30, so therefore, the scale dimension is 1/30th of the actual dimension, so to get the actual dimension, we can multiply the scale dimension by 30. I'm not totally sure how to attach pictures from my phone on my computer (sorry) but an example of a drawing could be two rectangles, the first (this is the scale drawing) having dimensions of 1 by 2 units and the second (this is the actual drawing) having dimensions of 30 by 60 units. I hope this helps!

Answer:

To find the monthly lease payment, we need to use the formula:

Monthly lease payment = (Net capitalized cost - Residual value) / Lease term in months

where:

Net capitalized cost = negotiated price - down payment

Residual value = percentage of MSRP x MSRP

Lease term in months = 36

First, we need to calculate the net capitalized cost:

Net capitalized cost = $49,000 - $4,000 = $45,000

Next, we need to calculate the residual value:

Residual value = 49% x $51,500 = $25,235

Now we can plug in the values and solve for the monthly lease payment:

Monthly lease payment = ($45,000 - $25,235) / 36 = $548.76

Therefore, the monthly lease payment is approximately $548.76.

The solution to the given inequality expression is expressed as x ≥ 6

Given the inequality expression shown below;

5x-9/7≥3

Cross multiply

(5x -9)≥7(3)

Expand

5x-9≥21

Add 9 to both sides

5x ≥ 21 + 9

5x ≥ 30

x ≥6

The solution to the given inequality expression is expressed as x ≥ 6

Learn more on inequalities here: https://brainly.com/question/24372553

#SPJ1

To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.

Given:

Distance from the light to the wall, r = 15 feet

Rate of rotation, dθ/dt = 1 rotation every 4 seconds

We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.

Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).

tan(θ) = dx / r

Differentiating both sides of the equation with respect to time t, we get:

sec^2(θ) * dθ/dt = dx/dt

Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.

sec^2(15°) * (1 rotation / 4 seconds) = dx/dt

Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.

For such more question on tangent

https://brainly.com/question/4470346

#SPJ8

Answer:

Im very confused about the question because all the answers are too small but out of those pick 6 i'd say

Step-by-step explanation:

hope this helps!

Answer:

41

Step-by-step explanation:

divide by 4

The volume of the composite figure is 655.44 unit³.

The information is incomplete. An overview will be given. Let's assume that the shape is a cylinder.

The volume of a cylinder is πr²h

Assumed radius = 7

Assumed height = 4

The volume will be:

= πr²h

= 3.14 × 7² × 4

= 615.44 unit³

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

Learn more about algebra  at:

https://brainly.com/question/24875240

#SPJ1

Based on the information, it can be inferred that the graph shows a curve because it refers to exponential growth. Then, the curve shows a higher frequency of views in less time.

According to the information, it can be inferred that the visualizations in the first hours would be less than time, then they would be proportional to time and finally they would show more frequency with respect to time.

According to the information, a time association table with the visualizations would look like this:

views / time

Learn more about exponential growth in: https://brainly.com/question/12490064

#SPJ1

Answer:

question 1: she is 8 years old   Question 2: C-60

Step-by-step explanation:

Answer:

y=-2/3x-1/3

Step-by-step explanation:

Plug in the point (-5,3)

3=-2/3(-5)+k

3=3.3333+k

k (y-intercept)=-0.33333, or -1/3

Answer:

\( V_{cylinder} =16,579.2\: in^3 \)

Step-by-step explanation:

Inner radius \( (r_1)\) = 20/2 = 10 in

Outer radius \( (r_2)\) = 24/2 = 12 in

Height of the cylinder (h) = 120 in

\( \because V_{cylinder} =\pi( r_2^2-r_1^2) h\)

\( \therefore V_{cylinder} =3.14(12^2-10^2) 120\)

\( \therefore V_{cylinder} =376.8(12^2-10^2) \)

\( \therefore V_{cylinder} =376.8(144-100) \)

\( \therefore V_{cylinder} =376.8(44) \)

\( \therefore V_{cylinder} =16,579.2\: in^3 \)

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

For more questions on Algebraically

https://brainly.com/question/4344214

#SPJ8

To verify, using the definition of convergence of a sequence, that the following sequences converge to the proposed limit.

To prove that,

\(limn → ∞ \frac{2n+1}{5n+4} = \frac{2}{5} \)

we use the limit definition then we need to prove the statement

\(∀ε>0,∃N∈Ns.t.n>N⟹ \frac{2n+1}{5n + 4} \)

we already have,

\(∣ \frac{2n+1}{5n+4}− \frac{2}{5} ∣=∣− \frac{3}{5(5n+4)} ∣= \frac{3}{5(5n+4)} \)

For every positive ε, we choose that N=⌈1/ε⌉, where we are using the ceiling function to locate the smallest integer number larger than the fraction 1/ε. This gives us a natural number, proving that the limit's quantified statement definition is accurate:.

\(∀ε>0,n>N⟹n> \frac{1}{ε} \\ ⟹1n<ε \\ ⟹ \frac{3}{5(5n+4)} < \frac{3}{25n} <ε \\ ⟹∣ \frac{2n+1}{5n+4} − \frac{2}{5} ∣<ε.\)

Hence, proved.

To learn more about convergence of a sequence: https://brainly.com/question/28452298

#SPJ4

Answer:

(-1, 0) and (6, 0)

Step-by-step explanation:

\(y=6x+6\\y=-x^2+5x+6\\\\6x+6=-x^2+5x+6\\6x=-x^2+5x\\x=-x^2\)

The solutions for these equations are (-1, 0) and (6, 0).

Answer:

Last option.

Step-by-step explanation:

x = -1

y = 6(-1) + 6

y = -6 + 6

y = 0

( -1, 0 )

x = 0

y = -(0)² + 5(0) + 6

y = 0 + 0 + 6

y = 6

( 0, 6 )

Answer:

Cost of 1 article is Rs10

Answer:

C. ME ZH

B. IG LM

F. TH= NM

Step-by-step explanation:

The correct congruence statements are A, B, and C such that ∠N = ∠I, GH = LM, and ∠M= ∠H are true for similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

To determine which congruence statements are correct, we need to identify the corresponding sides and angles of the triangles.

The corresponding sides and angles are those that are in the same position in each triangle.

Using this information, we can check each statement:

A. ∠N = ∠I: This statement is true because ∠N and ∠I are corresponding angles in the congruent triangles.

B. GH = LM: This statement is true because GH and LM are corresponding sides in the congruent triangles.

C. ∠M= ∠H: This statement is true because ∠M and ∠H are corresponding angles in the congruent triangles.

D. IG = LM: This statement is false because IG and LM are not corresponding sides in the congruent triangles.

E. IH = NM: This statement is false because IH and NM are not corresponding sides in the congruent triangles.

F. ∠L = ∠I: This statement is false because ∠L and ∠I are not corresponding angles in the congruent triangles.

Therefore, the correct congruence statements are A, B, and C.

To learn more on similar triangles click:

https://brainly.com/question/25882965

#SPJ5

Answer:

Step-by-step explanation:

tan(pi\4+A)tan(3pi\4+A) =-1

using the tangent sum of angle formula

Answer:

12+m =85

Step-by-step explanation:

.....

......

....

Answer:

12+m=85

Step-by-step explanation:

m+85= 12 In this m would be equal to-73. It has nothing related to the statement above.

12-m= 85 If a number would have to be subtracted from 12 then the answer would have to be with a negative sign. (-)

12m= 85 12m can be written as 12*m

12+m= 85 is the correct answer.

Answer:

8 lbs. 13 oz.

Step-by-step explanation:

2 lb. 4 oz.

+ 1 lb. 11 oz.

4 lb. 14 oz.

__________

7 lbs. 29 oz.

Since there are 16 oz in one pound, subtract 16 from 29 to get 13 oz and don’t forget to add that pound to the 7, so your final answer should be 8 lbs. 13oz.

The equation that represents the situation is P = a(2.50) + 80.

And the table;

P     a

80   0

82.5   1

85      2

87.5    3

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

A salesperson who sells computers at an electronics store is Deepa.

$2.50 is a commission for every computer sold.

And the base pay for Deepa is $80.

Let the total pay is P and 'a' represents Deepa's total payments on a day on which she sells a computer.

So, the equation is,

P = a(2.50) + 80

The table;

P     a

80   0

82.5   1

85      2

87.5    3

Therefore, the equation is P = a(2.50) + 80.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ9

\(\tt{}6 + ( - 9) \\ \\ \tt{}6 - 9 \: \: \: \: \: \: \\ \\ \tt{} - 3 \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \)

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

for such more question on equations

https://brainly.com/question/17482667

#SPJ8