find the y-intercept and slope of the function’s graph, and find the equation for the function using the table in the picture.

y- intercept:
slope:
equation:

The algebraic expression for the situation is represented as A = 7y/4

Given data ,

Let the algebraic expression be represented as A

Now , the value of A is

Let the numerator of the fraction be p

Let the denominator of the fraction be q

A = 7 times the quantity y divided by 4

So, the value of p = 7y

The value of q = 4

The value of the numerator is divided by the value of the denominator

Substituting the values in the equation , we get

A = 7y/4

So, the algebraic expression is 7y/4

Hence , the expression is A = 7y/4

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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To find the surface area of a pyramid with an equal side length base, you need to know the length of one side of the base and the slant height of the pyramid. Let's call the side length of the base "s" and the slant height "l".

The surface area of a pyramid can be calculated using the formula:

Surface Area = (1/2) * perimeter of base * slant height + base area

The perimeter of the base of the pyramid is simply 4s (since all sides are equal). The base area can be found by using the formula for the area of a square, which is s^2. Putting this all together, we get:

Surface Area = (1/2) * 4s * l + s^2

Simplifying this expression gives us:

Surface Area = 2sl + s^2

Therefore, the surface area of a pyramid with an equal side length base is given by the formula 2sl + s^2.

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A. 52 = 8n + 4, B. 4(2n + 1) = 52 and C. 4 = 52 – 8n are the equivalent equations.

Simplifying the equations, we have

A. 52 = 8n + 4

8n = 48

n = 6

To see this, first simplify equation B:

4(2n + 1) = 52

8n + 4 = 52

8n = 48

n = 6

C. 4 = 52 – 8n

8n = 48

n = 6

Then simplify equation D:

4n = 48

n = 12

As you can see, equations A, B and C are equivalent and both simplify to n = 6.

Therefore, the correct answers are A, B and C.

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You dont deserve answers if ur gonna do that to other people.

The Answer is 30 feet

Cause 3/4 of 40 is 30

Answer:

The answer is 2

Step-by-step explanation:

| 2 | = 2 because whenever you have | 2 | or even | -2 | it always equals the postive number.

Ex:

| -3 | = 3

| 8 | = 8

hope this helps! :)

The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.

The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.

F”(x)= x^2+6

F’(x)= \int f"(x) dx

       = \int( x^2+6) dx

       = \frac{x^3}{3}+6x+c_1                                  c_1 is the integral constant.

F(x)= \int f\prime(x) dx

      = \int f (\frac{x^3}{3}+6x+c_1) dx

      = \frac{x^4}{12}+3x^2+c_1x+c_2

(i) if c_1=0 , and c_2=0

   F(x)= \frac{x^4}{12}+3x^2

(ii) if c_1=1, and c_2=0

        F(x)= \frac{x^4}{12}+3x^2+x

Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x

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Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:

\(\frac{13}{52}\)

Which can be simplified to :

\(\frac{1}{4}\)

Then, we will square this fraction since we need two spades in a row:

\(\frac{1}{4} * \frac{1}{4} = \frac{1}{16}\)

So the probability is \(\frac{1}{16}\).

Hope this helped!

Answer:

1020 handshakes including the bride and the groom. 980 excluding the groom and the bride.

Step-by-step explanation:

(20*19) twenty people on the brides side shake hands with the other 19 people (19 because you can't really shake your own hand).

+(20*30) twenty people on the brides side shake hand with 30 people on the grooms side.

+(20*2) twenty people on the brides side shake hands with the bride and the groom.

this equalssss......

1020!!!!

Since the grooms family does hugs instead of handshakes, you'd only calculate how many the brides side does.

Step-by-step explanation:

Answer:

Do you need help with something or is this fr33 points?

Normal quantile plot is a graph of points (x,y) where each x-value is from the original set of sample data, and each y-value is the corresponding Z-score that is a quantile value expected from the standard normal distribution.

What is a Normal Quantile Plot?

A normal quantile plot is a graphical tool used to determine whether a data set is normally distributed or not.

It plots sample data versus a theoretical normal distribution.

In general, the points on the plot should form a straight line if the data is normally distributed. If the data is not normally distributed, the points on the plot will not form a straight line.

A normal quantile plot can be used to evaluate the following:

The normal quantile plot of the residuals is the most important diagnostic tool for examining whether the assumptions of a linear regression model have been met.

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Answer:

\(9x+4x^2-5y\)

Step-by-step explanation:

Hi there!

Length of the field: \(14x-3x^2+2y\) units

Width of the field: \(5x-7x^2+7y\) units

To find how much greater the length of the field is than the width, subtract the width from the length:

\(14x-3x^2+2y-(5x-7x^2+7y)\)

Open up the parentheses

\(= 14x-3x^2+2y-5x+7x^2-7y\)

Combine like terms

\(= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y\)

Therefore, the length is \(9x+4x^2-5y\) units greater than the width.

I hope this helps!

Polynomials are expressions. The solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The division of the polynomial  (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,

\(\dfrac{4x^3-3x^2+5x+6}{x+6}\)

\(=4x^2+\dfrac{-27x^2+5x+6}{x+6}\)

\(=4x^2-27x+\dfrac{167x+6}{x+6}\)

\(=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}\)

Hence, the solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

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Answer:

Step-by-step explanation:

OPT D ON EDG 2023

Answer: w = 4

Step-by-step explanation:

To solve the equation 10(w+3) = 70, we will work to get w by itself:

1. Divide by 10. This will get us closer to w.

(10( w + 3))/10 = 70/10

w + 3 = 7

2. We now have the equation w + 3 = 7. All we need to do now to get w by itself (or isolate it) is to subtract 3.

(w + 3) - 3 = 7 - 3

w = 7 - 3

w = 4

3. We can check our solution by inputting our found value, w = 4, into the equation.

10( 4 + 3 ) = 70

10(7) = 70

70=70

Because both sides of the equation are true, our solution of w = 4 is correct.

Answer: w = 4

Step-by-step explanation:

10(w+3)=70

10w + 30 = 70

10w = 40

w = 4

Answer:

Step-by-step explanation:

Put in the 3 and 4 so it is the square root of 3^4 - -6^2

The square root of 3^4 + 6^2

The square root of 3^4 is 3^2 so

9 + 6^2

=> 9 + 36

=> 45

45 in numerals is XLV

Answer:

5 km/h

Step-by-step explanation:

Speed of man in still water = s

Speed of current = c

Speed upstream = s - c

Distance upstream = 24 km

Time upstream = 6 hours

Speed downstream = s + c

Distance downstream = 36 km

Time downstream = 6 hours

Speed Equation

speed = distance/time

distance = speed × time

d = st

We write a distance equation for upstream and a second distance equation for downstream.

Upstream:

d = st

24 = (s - c) × 6

Divide both sides by 6 and switch sides:

s - c = 4        Equation 1

Downstream:

d = st

36 = (s + c) × 6

Divide both sides by 6 and switch sides.

s + c = 6       Equation 2

We now have two equations in two variables. We use equations 1 and 2 as a system of equations.

s - c = 4

s + c = 6

Add the equations to use the addition method.

2s = 10

s = 5

Answer: 5 km/h

Answer:

2:3:2

hope it helped you :)

Answer:

a = - 5

Step-by-step explanation:

Given

0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side

7a + 23 = - 6a - 42 ( add 6a to both sides )

13a + 23 = - 42 ( subtract 23 from both sides )

13a = - 65 ( divide both sides by 13 )

a = - 5

Answer: a=(-5)

Steps:

Answer:

=1

Step-by-step explanation:

i hope this helps :)

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

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

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

The slope is -3/1, and is in the simplest form. Thus, your equation is y=-3/1x+7.

Step-by-step explanation:

Why is this the case? Well we can do what M is, which is Y2-Y1/X2-X1. Lets pick a point on the graph, and the easiest point, the Y-Intercept, which is (0,7) and another one, which is (1,4). Now plug it into that formula, 4-7/1-0= -3/1. Take a look at the photo to see how the graph is made by just looking at it, the red is the rise and run.

Answer:

y > -2

Step-by-step explanation:

-5y-2<8

= -5y<8+2

= -5y<10

= y > 10/-5

∴ y > -2

Note: Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.

Answer:

1, p = -0.5

Step-by-step explanation:

2(p+5) = 4 - 10p

2p+10 = 4 - 10p

2p + 10p = 4 - 10

12p = -6

p = -6/12

p = -0.5

2(-0.5+5) = 4 - 10(-0.5)

-1 + 10 = 4 + 5

9 = 9

Step-by-step explanation:

so 4.93 I think and your welcome

Answer:

370.58

Step-by-step explanation:

Do 300+70+0.5+0.08

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

461.176470588

Explanation:

2×56=112

112×420=47040

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

3×34=102

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

47040÷102=461.176470588