The table represents a linear relationship. What is the question of the line? Write your answer in slope-intercept form.

X: 2 4 6 8
Y: 3 7 11 15

-3 -2 -1 1 2 3
y= _________

Answer: Graph C

Step-by-step explanation:

y-2 < -2x+2

y<-2x+4

slope is negative so it goes down. y int is 4.

insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.

Answer:

34

Step-by-step explanation:

n+2+n+4=62

2n=62-6

2n=56

n=56/2=28

28,30,32,34

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

Learn more about the type of a variable at

https://brainly.com/question/14501374

#SPJ4

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

Answer:

Step-by-step explanation:

-3,19 and (6,-44)

Answer:

Step-by-step explanation:

C

D

A

In a case whereby the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, the lenght or how high up in the air  is 73.6 feet

We know that the length of the slide AB is 89 feet, and the angle of depression from A to B is 42 degrees. We want to find the height h of point A above the ground.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is h (the height we're looking for), and the adjacent side is AB (the length of the slide). So we can write base on trigonometery as ;

tan(42) = h / 89

h = 89 * tan(42)

h ≈ 73.6 feet

Learn more about angle of depression at:

https://brainly.com/question/17193804

#SPJ1

The value of x for the triangles are:

13) x = 7.5 units

14) x = 4√6 units

15) x = (10√3)/3  units

16) x = 12 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Check the attached for labeling. The value of x for the triangles can be determined as follow.

No. 13

Consider the left triangle:

sin 60° = y/10

y = 10 * sin 60°

y = 5√3 units

Consider the right triangle:

sin 60° = x/y

x = (5√3) * sin60°

x = 7.5 units

No. 14

Consider the upper triangle:

sin 60° = 6/y

y = 6 / sin60°

y = 4√3 units

Consider the lower triangle:

cos 45° = y/x

cos 45° = (4√3)/x

x = (4√3)/cos 45°

x = 4√6 units

No. 15

Consider the left triangle:

tan 60° = (10√3)/y

y = (10√3) / tan60°

y = 10 units

Consider the right triangle:

tan 60° = y/x

tan 60° = 10/x

x = 10/tan 60°

x = (10√3)/3  units

No. 16

Consider the right triangle:

sin 60° = 6/y

y = 6 / sin60°

y = 4√3 units

Consider the right triangle:

tan 60° = x/y

tan 60° = x/(4√3)

x = 4√3 * tan 60°

x = 12 units

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

To answer your question, we need to use some geometry and conversion factors. The two 50-degree sectors cut from the silver disk form a wedge shape, which we can calculate the volume of.

First, we need to find the radius of the original silver disk. We know that the angle of each sector is 50 degrees, which is 1/5 of a full circle (360 degrees). So, the circumference of the circle would be divided into five equal parts. The formula for circumference is C = 2πr, where r is the radius. Therefore, we can set up the equation 5C/5 = 2πr, or C = (2πr)/5. We know that the weight of the silver disk is 2.3 grams, so we can assume that the density of silver is 10.5 grams per cubic centimeter. Using these values, we can solve for the radius:
2.3 g / (10.5 g/cm^3) = V
V = 0.219 cm^3
C = (2πr)/5
C = (2π)(r) / 5
0.219 = (2π)(r) / 5
r = 0.0878 cm

Now that we know the radius, we can calculate the volume of each earring wedge. The formula for the volume of a wedge is V = (1/6)πh^2(3R-h), where h is the height of the wedge and R is the radius of the original circle. Since we cut two 50-degree sectors from the circle, the central angle of the wedge is 100 degrees, or 5/9 of a full circle. We can use this angle to find the height of the wedge:
100/360 = h / 0.0878
h = 0.0242 cm

Now we can calculate the volume of each wedge:
V = (1/6)π(0.0242)^2(3(0.0878)-0.0242)
V = 0.000069 cm^3

Finally, we can convert this volume to milligrams using the density of silver:
0.000069 cm^3 x 10.5 g/cm^3 x 1000 mg/g = 0.7245 mg
So the silver wedge for each earring weighs approximately 0.725 milligrams.

To know more about geometry  visit :-

https://brainly.com/question/32077401

#SPJ11

Answer:

2<=x<=5, range: 48-120 hours

Step-by-step explanation:

The minumum days is 2 and the maximum is 5, making our inequality 2<=x<=5, to find the range in hours we multiply 2 and 5 by 24 since there are 24 hours in a day.

To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

learn more about Cartesian coordinates here:

https://brainly.com/question/8190956

#SPJ11

Length of square is x + 20. Width of square is x + 16. Total area: A = 36x + 320. The Factored form is 4(x - 15)(x + 24) = 0.

The length of the entire square is x + 10 + 10 = x + 20.

The width of the entire square is x + 8 + 8 = x + 16.

The total area of the pool and walkway can be represented as the product of the length and width of the entire square, minus the area of the pool

A = (x+20)(x+16) - x²

A = x² + 36x + 320 - x²

A = 36x + 320

This is the equation in standard form.

To obtain the factored form of the equation for the total area of the pool and walkway, we can start with the standard form equation

4x² + 36x - 1440 = 0

First, we can factor out the common factor of 4

4(x² + 9x - 360) = 0

Next, we need to factor the quadratic expression inside the parentheses. To do this, we need to find two numbers whose product is -360 and whose sum is 9.

We can start by listing the factor pairs of -360:

(-1, 360), (-2, 180), (-3, 120), (-4, 90), (-5, 72), (-6, 60), (-8, 45), (-9, 40), (-10, 36), (-12, 30), (-15, 24), (-18, 20)

Out of these factor pairs, we can see that -15 and 24 have a sum of 9. So we can rewrite the equation as

4(x - 15)(x + 24) = 0

Finally, we can solve for x by setting each factor equal to zero

x - 15 = 0 or x + 24 = 0

x = 15 or x = -24

Since the side length of the pool cannot be negative, we can discard the negative solution, leaving us with

x = 15

Therefore, the factored form of the equation for the total area of the pool and walkway is

4(x - 15)(x + 24) = 0

To know more about Square:

https://brainly.com/question/14709901

#SPJ4

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

A. Banana to grape this should be right

The transpose of the matrix is given by

Learn more about transpose of matrix

brainly.com/question/20309134

#SPJ11

Answer:

73 degrees

Step-by-step explanation:

180-127=53

53+54= 107

180-107

= 73 degrees

Mark me the brainliestt :))

Answer:MON=99

Step-by-step explanation:

8x-13+7x-17=180

15x=210

x=14

Answer:

Step-by-step explanation:

8x - 13 + 7x - 17 =180

15x - 30 = 180

15x = 210

x = 14

8(14) - 13= 112 - 13 = 99

Answer: CHOICE NUMBER 4: x = 3/2 or -1

Step-by-step explanation:

2(x+3)+(−3x)(x)=x*x

−3x^2+2x+6=x^2(Simplify both sides of the equation)

−3x^2+2x+6−x^2=x^2−x^2(Subtract x^2 from both sides)

−4x^2+2x+6=0

−2(2x−3)(x+1)=0(Factor left side of equation)

2x−3=0 or x+1=0(Set factors equal to 0)

x = 3/2

or x=−1

Plug them into the equation and it works!

Hope this helps! :)

Answer:

Here is the ans...hope it helps:)

The amplitude of v(t) at steady-state is (a) Amplitude = KFc. This is because the amplitude of the response in a linear system is proportional to the amplitude of the forcing function, and the constant of proportionality is the system gain, K.

In this case, the forcing function has an amplitude of Fc, and the system gain is K, so the amplitude of the response at steady-state is K times Fc, or KFc. The amplitude of v(t) at steady-state can be found by considering the relationship between the system gain (K) and the forcing function f(t). Given the forcing function f(t) = Fc * sin(100t/τ), we can determine the steady-state response by taking the amplitude of the sinusoidal forcing function and multiplying it by the system gain K. Hence, the amplitude of v(t) at steady-state is: Amplitude = K * Fc Therefore, the best answer is: a. Amplitude = KFc.

Learn more about sinusoidal forcing function here: brainly.com/question/12060967

#SPJ11

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

The mean of the total weight of fish Edwin catches in two hours is 24 pounds and the standard deviation is √24 ≈ 4.9 pounds.

Let X be the number of trout caught in two hours. Since the trout are caught at times of a Poisson process with a rate of 3 per hour, X has a Poisson distribution with parameter λ = 6 (since the rate is 3 per hour and we are considering 2 hours).

Let Y be the weight of each trout. Since the average weight of each trout is 4 pounds with a standard deviation of 2 pounds, Y has a normal distribution with mean μ = 4 and standard deviation σ = 2.

To find the mean and standard deviation of the total weight of fish Edwin catches in two hours, we use the formula for the mean and variance of the sum of two random variables:μX+Y = μX + μY = λμY = 6 × 4 = 24

σX+Y² = σX² + σY² = λσY² = 6 × 2² = 24

To know more about Poisson distribution click on below link:

https://brainly.com/question/30388228#

#SPJ11

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

For more questions like Cookies click the link below:

https://brainly.com/question/26252639

#SPJ4

Since the limits of integration are the same, the definite integral evaluates to 0. Therefore, F(0) = 0.

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, the other being differentiation

To find the value of F(0), we need to evaluate the integral of the function F(x) from x = 0 to x = 0. However, since the lower limit of integration is the same as the upper limit, the integral becomes a definite integral with both limits equal to 0.

∫₀⁰ (t+2 - 2t²) dt

know more about integration here:

https://brainly.com/question/31744185

#SPJ11

Answer:

54 :))

Step-by-step explanation:

Answer:

$82.21

Step-by-step explanation:

cost of meal: $78.30

15% discount: 15% of $78.30 = 0.15 × $78.30 = $11.75

tip: 20% of $78.30 = 0.20 × $78.30 = $15.66

total cost = $78.30 - $11.75 + 15.66 = $82.21

Answer: $82.21