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someone please answer this!!

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The area of streetlamp illuminates approximately 660.19 square meters of the street.

What is the area?

An area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space inside a flat, two-dimensional shape or figure. The area is typically measured in square units

The area of a circle is given by the formula A = πr², where r is the radius. In this case, the diameter (which is the same as the distance across the circle through the center) is 29 meters, so the radius is half of that, or 14.5 meters.

Using the formula for the area of a circle, we have:

A = πr²

A = 3.14 x 14.5²

A ≈ 660.19 square meters

Therefore, the streetlamp illuminates approximately 660.19 square meters of the street.

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Answer:

C) 4 3/4

Step-by-step explanation:

19 divided by 4 doesn't divide equally.

4*5=20 X

4*4=16 YEP

19-16=3

So...

19 can be divided 4 whole times and you're left over with 3.

Thus, it's 4 3/4.

Hope this helps.

Answer:

8000 (Estimated) and the real difference would be 7934

Step-by-step explanation:

An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation

Answer: 3

Step-by-step explanation: I just know

Answer:

\(c.\hspace{3}x=12\)

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

\(x=2a\)

And we can find a easily using pythagorean theorem:

\((\sqrt{45} )^{2} =3^{2} +a^{2}\)

Solving for a:

\(a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\\)

\(a^{2} =36\\\\a=\sqrt{36} \\\\a=6\)

Therefore:

\(x=2a\\\\x=2(6)\\\\x=12\)

The problem involves finding the coordinate vector, coefficient matrix, eigenvalues, and solutions of a linear transformation and matrix equation in the vector space of 2x2 matrices with real entries.

To find the coordinate vector [C]B of the matrix C with respect to basis B, we express C as a linear combination of the basis vectors in B. Let's denote the basis vectors as B1, B2, B3, and B4.

C = a1 * B1 + a2 * B2 + a3 * B3 + a4 * B4

To find the coefficients a1, a2, a3, and a4, we solve the equation C = EB, where E is the matrix [B1, B2, B3, B4] and B is the column vector [a1, a2, a3, a4].

Similarly, to find the coefficient matrix [T]B of the linear transformation T with respect to basis B, we express the images of the basis vectors under T as linear combinations of the basis vectors in B. Let's denote the images as T(B1), T(B2), T(B3), and T(B4).

T(B1) = b1 * B1 + b2 * B2 + b3 * B3 + b4 * B4

T(B2) = c1 * B1 + c2 * B2 + c3 * B3 + c4 * B4

T(B3) = d1 * B1 + d2 * B2 + d3 * B3 + d4 * B4

T(B4) = e1 * B1 + e2 * B2 + e3 * B3 + e4 * B4

The coefficient matrix [T]B is then given by [b1, b2, b3, b4; c1, c2, c3, c4; d1, d2, d3, d4; e1, e2, e3, e4].

To find the eigenvalues of T, we solve the equation EA = λA, where A is a 2x2 matrix and λ is a real eigenvalue. This equation represents finding the eigenvectors of T.

Finally, to find all solutions of the equation EA = λA, we solve the equation for A, where A is a 2x2 matrix and λ is a real eigenvalue.

Please note that the specific values of the matrices and eigenvalues are not provided in the question, so further calculations and solutions cannot be determined without additional information.

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Deck of Cards: 52 total, 4 suits of 13 each. Clubs and Spades are black, Hearts and Diamonds are red. Jack (J), Queen (Q), and King (K) are face cards.

Clubs: 2 3 4 5 6 7 8 9 10 J Q K A

Spades: 2 3 4 5 6 7 8 9 10 J Q K A

Hearts: 2 3 4 5 6 7 8 9 10 J Q K A

Diamond: 2 3 4 5 6 7 8 9 10 J Q K A

Here, we use the probability formula to calculate the answer.

Possible outcome = 52

We are to find the probability that it is a two or a club.

From 52 deck of cards, we have 4 twos and 13 clubs

Therefore,

The probability that it is a two or a club

Final answer = 0.3077 to 4 decimal places

The following are the sets which cannot form a right triangle:

b. 27 mm, 35 mm, 46 mm

f. 12 mm, 34 mm, 37 mm

Given,

Here some set of lengths given. We have to find which set of lengths can not form a right triangle.

To check whether it is a right triangle or not we will use Pythagoras theorem. If it holds true then the set will form a right triangle and if it is not true then it will not form a right triangle.

The pythogaras theorem is c²=a²+b²,where c = hypotenuse which is the largest length of the sides, a and b are other two sides.

a. 24 mm, 32 mm, 40 mm

c = 40 mm as it is the largest side.

substitute the values:

40² = 24² + 32²

1600 = 576 + 1024

1600 = 1600

The Pythagoras theorem holds true here. So this set will form a right angled triangle

b. 27 mm, 35 mm, 46 mm

c = 46 mm as it is the largest side.

substitute the values:

46² = 27² + 35²

2116 = 729 + 1225

2116 = 1954

The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.

c.  7 mm, 24 mm, 25 mm

c = 25 mm as it is the largest side.

substitute the values:

25² = 7² + 24²

625 = 49 + 576

625 = 625

The Pythagoras theorem holds true here. So this set will form a right angled triangle

d.  6 mm, 8 mm, 10 mm

c = 10 mm as it is the largest side.

substitute the values:

10² = 6² + 8²

100 = 36 + 64

100 = 100

The Pythagoras theorem holds true here. So this set will form a right angled triangle.

e. 12 mm, 16 mm, 20 mm

c = 20 mm as it is the largest side.

substitute the values:

20² = 16² + 12²

400 = 256 + 144

400 = 400

The Pythagoras theorem holds true here. So this set will form a right angled triangle.

f. 12 mm, 34 mm, 37 mm

c = 37 mm as it is the largest side.

substitute the values:

37² = 12² + 34²

1369 = 144 + 1156

1369 = 1300

The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.

Hence we get the required answers.

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Both offers are mutually beneficial and help to save time for both parties.

Here, the production plans for Leonard and Sheldon for both offers can be as follows:

Offer 1: Leonard does 7 hours of cooking and 5 hours of laundry, while Sheldon does 5 hours of cooking and 7 hours of laundry. This way, Leonard gets to save 1 hour on laundry and Sheldon gets 1 extra meal.

Offer 2: Leonard does 9 hours of cooking and 3 hours of laundry, while Sheldon does 3 hours of cooking and 9 hours of laundry. This way, Leonard gets to save 3 hours on cooking and Sheldon gets 2 extra meals.

Leonard and Sheldon spend equal amounts of time on cooking and laundry, i.e., 6 hours on each. Leonard offers Sheldon to do his laundry in return for cooking him more meals.

In the first offer, Sheldon does 7 hours of laundry and 5 hours of cooking, while Leonard does 5 hours of laundry and 7 hours of cooking.

Thus, Sheldon gets 1 extra meal and Leonard saves 1 hour on laundry.

In the second offer, Sheldon does 9 hours of laundry and 3 hours of cooking, while Leonard does 3 hours of laundry and 9 hours of cooking.

Thus, Sheldon gets 2 extra meals and Leonard saves 3 hours on cooking. Therefore, both offers benefit each person in their own way.

Thus, we can conclude that in the first offer, Sheldon gets to eat one extra meal while Leonard gets to save an hour on laundry. In the second offer, Sheldon gets to eat two extra meals while Leonard saves three hours on cooking. Therefore, both offers are mutually beneficial and help to save time for both parties.

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Answer:

These are possible solutions (0,−10), (2,-2), (4,6), (6,14)

Step-by-step explanation:

If you put this on a graph (try desmos and put it on a graph) those points line up with the equation.

Sorry if it doesn't help.

Answer: 11/4 in decimal form 2.75

Step-by-step explanation: 4x−y=10

4x−y=10

Step 1: Add y to both sides.

4x−y+y=10+y

4x=y+10

Step 2: Divide both sides by 4.

4x/4=y+10/4

x=1/4y+5/2 = 11/4= 2.75

Given, f(x) = 2x³ - 30x² + 144x + 4.The required function f'(x) is 6(x - 6)(x - 4).

Given, f(x) = 2x³ - 30x² + 144x + 4.

Let us differentiate f(x) with respect to x.

We can apply the power rule of differentiation as the given function is in the form of the polynomial and the power rule states that if

y = xn, then y' = nx^(n-1).

So, we get

f'(x) = 6x² - 60x + 144f'(x)

= 6(x² - 10x + 24)f'(x)

= 6(x² - 6x - 4x + 24)f'(x)

= 6[x(x - 6) - 4(x - 6)]f'(x)

= 6(x - 6)(x - 4)

Therefore, f'(x) = 6(x - 6)(x - 4).Thus, the required function f'(x) is 6(x - 6)(x - 4).

We have given the function

f(x) = 2x³ - 30x² + 144x + 4, and we have to find the first derivative of f(x) i.e., f'(x).

We have applied the power rule of differentiation to find the first derivative.

The power rule states that if y = xn, then y' = nx^(n-1).

By applying the power rule of differentiation, we have found

f'(x) which is equal to 6x² - 60x + 144.

Then, we factorized it to get

6(x - 6)(x - 4).

Hence, the required function f'(x) is 6(x - 6)(x - 4).

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slope = -1/2

y-intercept = (0, -1)

Given:

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

We need to rewrite the given equation in the form above so as to get the slope

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

Answer:

G

Step-by-step explanation:

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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I'd take ur dream girl cuz like why not

Answer:

take your dream girl (obviously)

Answer:

we haul y=.045x+20

you haul y=1x

Answer:

  x ≈ -8.402, 8.502

Step-by-step explanation:

The usual methods of solving quadratic equations apply to this one. Any of them can be used: graphing, factoring, completing the square, quadratic formula.

Often, when the coefficients are non-integers and have no obvious relationship to each other, the most convenient method of solution is the quadratic formula. It tells you the solution to ax²+bx+c=0 is ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Your equation has the coefficients, a = -0.07, b = 0.007, c = 5, so the solutions are ...

  \(x=\dfrac{-0.007\pm\sqrt{0.007^2-4(-0.07)(5)}}{2(-0.07)}=\dfrac{-0.007\pm\sqrt{1.400049}}{-0.14}\\\\x=0.05\pm\sqrt{\dfrac{200007}{2800}}=0.05\pm\sqrt{71.4310\overline{714285}}\\\\\boxed{x\approx\{-8.40169,\,8.50169\}}\)

Answer:

\(t=8.50, -8.40\:\: \sf (2 \:d.p.)\)

Step-by-step explanation:

Quadratic equations are in the form \(ax^2+bx+c=0\),  where \(a\neq 0\).

There are three basic methods to solve quadratic equations algebraically:

Given quadratic equation:

\(h(t)=-0.07t^2+0.007t+5\)

Method 1 - Factoring

If the trinomial is able to be easily factored, set the equation equal to zero and factor.  Set each factor equal to zero and solve.

As the given example is not easily factored, factoring is not the best method to use on this occasion.

Method 2 - Completing the Square

If the quadratic expression is not able to be easily factored, try completing the square.

Divide all terms by \(a\) (-0.07):

\(\implies t^2-\dfrac{1}{10}t-\dfrac{500}{7}=0\)

Move the constant to the right side:

\(\implies t^2-\dfrac{1}{10}t=\dfrac{500}{7}\)

Add the square of half the coefficient of t to both sides:

\(\implies t^2-\dfrac{1}{10}t+\left(-\dfrac{1}{20}\right)^2=\dfrac{500}{7}+\left(-\dfrac{1}{20}\right)^2\)

\(\implies t^2-\dfrac{1}{10}t+\dfrac{1}{400}=\dfrac{200007}{2800}\)

Factor the perfect trinomial:

\(\implies \left(t-\dfrac{1}{20}\right)^2=\dfrac{200007}{2800}\)

Square root both sides:

\(\implies t-\dfrac{1}{20}=\pm\sqrt{\dfrac{200007}{2800}\)

Add 1/20 to both sides:

\(\implies t=\dfrac{1}{20}\pm\sqrt{\dfrac{200007}{2800}\)

As decimals to 2 decimal places:

\(\implies t=8.50, -8.40\:\:\sf(2 \:d.p.)\)

Method 3 - Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\)

This can be used to find both real and imaginary or complex solutions.

Identity the variables:

\(a=-0.07, \quad b=0.007, \quad c=5\)

Substitute the values into the quadratic formula and solve for t:

\(\implies t=\dfrac{-0.007 \pm \sqrt{0.007^2-4(-0.07)(5)} }{2(-0.07)}\)

\(\implies t=\dfrac{-0.007 \pm \sqrt{1.400049}}{-0.14}\)

\(\implies t=\dfrac{0.007 \pm \sqrt{1.400049}}{0.14}\)

\(\implies t=8.50, -8.40\:\: \sf (2 \:d.p.)\)

Finally, a non-algebraic method of solving a quadratic equation is by graphing using a graphical calculator (see attached).  The solutions are the points at which the curve intercepts the x-axis.

Answer:

x2 + 100 = (x + 10i)(x − 10i)

x2 + 36 = (x + 6i)(x − 6i)

16x2 + 9 = (4x + 3i)(4x − 3i)

Step-by-step explanation:

Edmentum Answer

The factors of the expressions have been determined as  ( x +10i) ( x -10i) ,  ( x +6i) (x-6i) ,  (4x + 3i) ( 4x - 3i)

An expression is a mathematical statement consisting of variables , constants and mathematical operators .

The expression given in the question is

x² + 100

x² + 36

16x²2 +9​

by the identity a² -b² = ( a+b)(a-b)

The expressions can be written as

( x² - ( 10i)²)  , (x² - ( 6i)²) , ( (4x)² - ( 3i)²)

It is known that i² = -1

Therefore here the expressions can be written as

( x² - ( 10i)²) = ( x +10i) ( x -10i)

(x² - ( 6i)²) = ( x +6i) (x-6i)

( (4x)² - ( 3i)²) = (4x + 3i) ( 4x - 3i)

Therefore the factors of the expressions have been determined.

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An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

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The values of the variables in the angles and measures of the side lengths of the quadrilaterals can be found using the properties of the quadrilaterals

8. z = 20

9. x = 18°

10. y = 12°

11. AB = 11

12. a = 10

13. b = 8

14. c = 18

15. d = 4

16. w = 6

17. x = 2

18. y = 31

19. z = 20

A quadrilateral is a four sided polygon.

8. The quadrilateral ABCD is a parallelogram, therefore;

The opposite sides have the same lengths;

z - 3 - 17

z = 17 + 3 = 20

z = 20

9. 4·x° and 108° are same side interior angles, therefore;

4·x° + 108° = 180°

4·x° = 180° - 108° = 72°

x = 72°/4 = 18°

x = 18°

10. 6·y° and 9·y° are same side interior angles, therefore;

6·y° + 9·y° = 15·y° = 180°

y = 180°/15 = 12°

y = 12°

11. The segment AB is congruent to segment CD, by the properties of a parallelogram

CD = 11

Therefore;

AB = CD (definition of congruency)

AB = CD = 11

AB = 11

12. The quadrilateral WPBH is a rectangle, therefore;

WH ≅ PB (properties of a rectangle)

WH = PB (definition of congruency)

WH = 12

PB = 2·a - 8

Therefore;

2·a - 8 = 12 (substitution property of equality)

2·a = 8 + 12 = 20

a = 20 ÷ 2 = 10

a = 10

13. The diagonals of a quadrilateral bisect each other;

The diagonals of a rectangle have the same length

Therefore;

WA = AH

WA = 16

AH = 2·b

Therefore b = 16/2 = 8

b = 8

14. 3·c° + 2·c° = 90°

5·c° = 90°

c = 90°/5 = 18

c = 18

15. WA = AP

Therefore;

4·d = 16

d = 16/4 = 4

d = 4

16. The quadrilateral is a square;

The length of the sides of a square are congruent, therefore;

20 = 3·w + 2

3·w = 20 - 2 = 18

w = 18/3 = 6

w = 6

17. The diagonals of a square bisect the interior angles, therefore;

22·x + 1°  = 90°/2 = 45°

x = (45 - 1)°/22 = 2

x = 2

18. y - 11 = 20

Therefore;

y = 20 + 11 = 31

y = 31

19. The diagonals of a square are perpendicular to each other, therefore;

5·z - 10° = 90°

5·z = 90° + 10° = 100°

z = 100°/5 = 20°

z = 20°

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Answer:

D

Step-by-step explanation:

A. The domain of this function is infinite, since x can be any number.

B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).

C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.

D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.

Hope this helps!

The height from the ground at which the ladder touched the building is 12feet.

A right-angled triangle is a type of triangle that has three sides and one of its  three angles as 90°.

Analysis:

The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.

let x, be the distance from the foot of the building to the foot of the ladder.

x+7 = height of ladder from building to foot of  building.

length of ladder = 13 feet

using Pythagoras, we have

\((13)^{2}\) = \(x^{2}\) + \((x+7)^{2}\)

169 = \(x^{2}\) + \(x^{2}\) + 7x + 7x + 49

169 = 2\(x^{2}\) + 14x + 49

2\(x^{2}\) + 14x = 169-49

2\(x^{2}\) + 14x  = 120

divide through by 2

\(x^{2}\) + 7x - 60 = 0

\(x^{2}\) +12x -5x - 60 = 0

(x+12) -5(x+12) = 0

(x+12)(x-5) = 0

x = -12 or 5

Since measurement cannot be negative, therefore x = 5

Height the ladder touches the building is x+7 = 5+7 = 12 feet

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So, the horizontal distance of the ramp is approximately 13.64 feet, rounded to the nearest hundredth.

An angle is a figure formed by two rays or line segments that share a common endpoint, called the vertex of the angle. The rays or line segments that form the angle are called the sides or legs of the angle. The measurement of an angle is typically given in degrees or radians, and it represents the amount of rotation required to move one of the sides of the angle to coincide with the other side.

Angles are important in many areas of mathematics and science, including geometry, trigonometry, physics, and engineering. They are used to describe the orientation of objects, to measure distances and heights, to calculate forces and velocities, and to solve problems involving triangles and circles. Angles can be classified based on their size and shape, such as acute, obtuse, right, straight, or reflex angles.

by the question.

The horizontal distance of the ramp is the adjacent side of the right triangle formed by the ramp, the ground, and the vertical height of the ramp.

Using trigonometry, we can use the cosine function to find the length of the adjacent side:

\(cos (13°) = adjacent / hypotenuse\)

where the hypotenuse is the length of the ramp, which is given as 14 feet.

Rearranging the formula to solve for the adjacent side, we get:

\(adjacent = cos (13°) x 14\)

Using a calculator, we can evaluate the cosine of 13 degrees, which is 0.97437 (rounded to five decimal places). Multiplying this by 14, we get:

\(adjacent = 0.97437 x 14 = 13.64\)

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Answer: If it is pythagorean theorem than it is 10

Step-by-step explanation:

8^2+6^2=100

Squareroot of 100 is 10

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

Answer:

Slope: -8

Y intercept: (0,1)

Step-by-step explanation:

^^^^

Answer:

\(\star\mathtt{Ans.\:\#1:\:Slope:-8}\)

\(\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}\)

Step-by-step explanation:

Hi student, let me help you out.

................................................................................................................

First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's \(\mathtt{y=mx+b}\).

In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".

Looking back at our equation, let's work out the slope & y intercept.

Let's put these two equations together:

\(\mathtt{y=mx+b}\)

\(\mathtt{y=-8x+1}\)

See what I mean? The y intercept of this equation is 1 and the slope is -8.

Hope this helped you out! Ask in comments if any queries arise.

Best wishes from "reflect"!

\(\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star\)

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