Please help this is due tomorrow and I don't understand it, The Zeros of a
quartic
polynomial
function h are
-1, +2, -2, and
3. Sketch a graph
of y=h(x) on the
grid and explain how you got your answer.

Answer:

I think its Factor

Step-by-step explanation: (x-4) (x+1)

And for the equation x=4,-1

==============================================================

The distributive property states that:-

\(\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}\)

Simplify:-

\(\bigstar{\boxed{\pmb{5(7h+3m)}}}\)

\(\longmapsto\sf{(5~times~7h)+)5*3m)\)

\(\longmapsto\sf{35h*15m}\)

===============================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

What does the question  look like in the image below it.

Step-by-step explanation:

In an orthic triangle, triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

An orthic triangle is formed by constructing perpendiculars from the vertices of a given triangle to the opposite sides. In this case, we have triangle ABC, and by constructing perpendiculars from the vertices A, B, and C to the opposite sides, we obtain triangle AEF, triangle BFD, and triangle CDE.

To show that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC, we need to demonstrate that their corresponding angles are congruent and their corresponding sides are proportional.

Since triangle ABC and its orthic triangles share the same vertices, their corresponding angles are congruent. The perpendiculars drawn from the vertices of triangle ABC to the opposite sides create right angles, ensuring that the corresponding angles in the orthic triangles are also right angles.

Regarding the sides, the perpendiculars from the vertices of triangle ABC divide the sides into segments. By the properties of perpendicular lines, these segments form similar triangles with triangle ABC. Therefore, the corresponding sides of triangle AEF, triangle BFD, and triangle CDE are proportional to the sides of triangle ABC.

By establishing congruent angles and proportional sides, we can conclude that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

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Answer:

fraction strips would just be;

1 box split into 12 parts because 12 is the common denominator, and 1/4 is equal to 3/12, so you would shade in 3 of the parts, and then 1/6 = 2/12, so you would shade in 2 parts. In the end, you should have a box (or rectangle) with 12 parts, and only 5 of those parts should be shaded in.

The equation would be as follows:

1/4+1/6 = 3/12+2/12 = 5/12

Hope this helped!! :)

Answer:

C.

Step-by-step explanation:

The procedure for finding the area between two curves Find the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result and the area between the two curve in excercise 1 is 40/3

The procedure for finding the area between two curves involves the following steps:

Identify the two curves: Determine the equations of the two curves that enclose the desired area.

Find the points of intersection: Set the two equations equal to each other and solve for the x-values where the curves intersect. These points will define the boundaries of the region.

Determine the limits of integration: Identify the x-values of the intersection points found in step 2. These values will be used as the limits of integration when setting up the definite integral.

Set up the integral: Depending on whether the curves intersect vertically or horizontally, choose the appropriate integration method (vertical slices or horizontal slices). The integral will involve the difference between the equations of the curves.

Integrate and evaluate: Evaluate the integral by integrating the difference between the two equations with respect to the appropriate variable (x or y), using the limits of integration determined in step 3.

Calculate the absolute value: Take the absolute value of the result obtained from the integration to ensure a positive area.

Round or approximate if necessary: Round the final result to the desired level of precision or use numerical methods if an exact solution is not required.

In summary, to find the area between two curves, determine the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result.

Here's the procedure explained using the exercises:

Exercise 1:

Consider the functions F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5. To find the area between these curves, follow these steps:

Set the two functions equal to each other and solve for x to find the points of intersection:

\(x^2 + 2x + 1 = 2x + 5\)

\(x^2 - 4 = 0\)

(x - 2)(x + 2) = 0

x = -2 and x = 2

The points of intersection, x = -2 and x = 2, give us the bounds for integration.

Now, determine which curve is above the other between these bounds. In this case, f(x) = 2x + 5 is above F(x) =\(x^2 + 2x + 1.\)

Set up the integral to find the area:

Area = ∫[a, b] (f(x) - F(x)) dx

Area = ∫\([-2, 2] ((2x + 5) - (x^2 + 2x + 1)) dx\)

Integrate the expression:

Area = ∫\([-2, 2] (-x^2 + x + 4) dx\)

Evaluate the definite integral to find the area:

Area = \([-x^3/3 + x^2/2 + 4x] [-2, 2]\)

Area = [(8/3 + 4) - (-8/3 + 4)]

Area = (20/3) + (20/3)

Area = 40/3

Therefore, the area between the curves F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5 is 40/3 square units.

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Answer:

the slope is -8

Step-by-step explanation:

1. What is the solution set of the equation below?

|2x - 3|= 11

O A. {4}

O B.{7}

C. {-7,4}

D. {-4,7)

step 1

Find the solution of positive case

+(2x-3)=11

2x=11+3

2x=14

x=7

step 2

Find the solution of negatice case

-(2x-3)=11

Multiply by -1 both sides

2x-3=-11

2x=-11+3

2x=-8

x=-4

the solutions are x=7 and x=-4

therefore

tey answer is option B

The basis of the image of T is formed by the set of vectors in the x-y plane, by using the concept of Linear transformation.

For the given question, we will use the concept of Linear transformation.

A linear transformation is a function that maps one vector space to another vector space, and that preserves the vector space operations like addition and scalar multiplication. It is also known as linear mapping or linear operator and has the property that

T(ku) = kT(u) and T(u + v) = T(u) + T(v) ∀ vectors u and v and all scalars k.

There are different methods to find the basis of ker T, and im T, such as using the rank-nullity theorem, finding the reduced row echelon form of the matrix representation of T, or finding the eigenvectors and eigenvalues of T.

Let's find the basis of ker T, and the basis of im T for the given cases.

(a) T: P2 → R2; T(a + bx + cy2) = (a, b)
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, a = b = 0.

Thus, the basis of ker T is {c2}, the set of polynomials of degree less than or equal to 1.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the entire R2, and the basis of im T is {(1,0), (0,1)}.

(b) T: P2 → R2; T(p) = (p(0), p(1))
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, p(x) = 0 for all x.

Thus, the basis of ker T is {x(x - 1)}.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the set of linear combinations of the two vectors (1,0) and (0,1), which form a basis of im T.

(c) T: R3 → R3; T(x,y,z) = (x + y, x + y, 0)
The kernel of T is the set of vectors in R3 such that T(x, y, z) = (0, 0, 0), or equivalently, x + y = 0 and z = 0. Thus, the basis of ker T is {(1,-1,0), (0,0,1)}.

The image of T is the set of vectors in R3 that can be written as T(x, y, z) = (a, b, 0) for some a and b.

Thus, the image of T is the set of vectors in the x-y plane, which form a basis of im T.

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The expression for the number of boy cousins will be f – 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

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Answer:

?????

Step-by-step explanation:

Answer:

wait what?

Step-by-step explanation:

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

6Y + 48

Step-by-step explanation:

Answer : 6y+48

Distribute

6(y) + 6(8)

The probability that 4 of the throws result in a 1 is approximately 0.0916 (to four decimal places).Here's how to calculate it:There are a total of 6^7 possible outcomes when rolling a 6-sided die 7 times. That is 279,936 outcomes.

The number of ways that 4 of the rolls can result in a 1 is equal to the number of ways to choose 4 of the 7 rolls to be a 1, multiplied by the number of ways for the other 3 rolls to be anything other than a 1. That is, the number of ways is \((7 choose 4) * 5^3 = 35 * 125 = 4,375.\) To see why, think of it this way: there are 7 positions where we can place the 1s, and we need to choose 4 of them.

Once we've done that, we have 3 positions left to fill with something other than a 1, and there are 5 possible numbers to choose from for each of those positions.So the probability of getting 4 1s in 7 rolls is (number of favorable outcomes) / (total number of possible outcomes)\(= 4,375 / 279,936 ≈ 0.0156.\)

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Answer:

answer is 16

good day mate

Answer:

28.675 inches

Step-by-step explanation:

If 3.7 inches of rain has been poured in the four days. Then the rate of rain fallen in one day = 3.7/4 .

For the the amount of rain poured in December.

Simply multiply the rate*days=rain amount poured.

So,

Amount Of Rain In December= (3.7/4)*31 = 28.675 inches.

It is approximately 29inches.

I hope that helps.

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Hey!

A = $4,785.00

I = A - P = $435.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year.

Solving our equation:

A = 4350(1 + (0.02 × 5)) = 4785

A = $4,785.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,350.00 at a rate of 2% per year for 5 years is $4,785.00.

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

Hope you have a great day and this helped in some way <33

Answer: 50 percent

Step-by-step explanation:

Answer:

11 months

Step-by-step explanation:

Since he has already read 14 books subtract them from the 80 books. you'll end up with 66. then diviid by 6 and you'll get 11 months

The correct value of p(x<8) is 1.875.

To determine how probable something is gonna occur, use probability. It is a number between 0 and 1, where 0 denotes the absence of a possibility and 1 denotes the existence of one. By dividing the number of favorable outcomes by the entire number of potential possibilities, the probability of an occurrence is determined.

To find the probability that is greater than 8, we need to integrate this probability density function from 5.5 to 20.5:

P(X < 8) = ∫[5.5,20.5] f(x) dx

= ∫[5.5,20.5] (1/8) dx

= [x/8] from 5.5 to 20.5

= (20.5/8) - (5.5/8)

= 15/8

= 1.875.

Therefore, the correct probability is 1.875.

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For data at the interval​ level, we cannot calculate meaningful differences between data entries. The statement is false.

Interval:

The interval of a numerical value generally represents the maximum and minimum value between which the numerical value belongs, it is the amount of time that has passed between the beginning and end of the event which is also known as elapsed time.

The various ways of showing intervals are Inequalities, interval notations, and number lines, the amount of time between two given times is known as the time interval.

Data at the ordinal level can be qualitative or quantitative.  A true statement is​ "For data at the interval​ level, you can calculate meaningful differences between data​ entries."

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Answer:

Yes

Step-by-step explanation:

I dont know why

The optimal solution of the objective function is cost = 5x + 7y.

To solve this problem, we need to determine the optimal amounts of material to be taken from each pit in order to minimize the overall cost while meeting the minimum sand content requirement. Let's break down the problem step by step:

Step 1: Define the decision variables:

Let's define:

x = amount of material (in cubic meters) taken from Bloomingdale Pit

y = amount of material (in cubic meters) taken from Valley Springs Pit

Step 2: Write the constraints in mathematical form:

We have two constraints to consider:

Total volume constraint:

x + y = 100,000 (the total volume of mixed material needed for the project)

Minimum sand content constraint:

The mix should contain a minimum of 30% sand. We can express this constraint as follows:

(0.25x + 0.50y) / (x + y) ≥ 0.30

Step 3: Write the objective function in mathematical form:

The objective is to minimize the overall cost of material. We can express the cost as follows:

Cost = 5x + 7y

Step 4: Find the optimum solution using the graphical method:

To find the optimum solution, we need to plot the feasible region defined by the constraints and identify the point that minimizes the objective function within that region.

First, let's rearrange the minimum sand content constraint:

0.25x + 0.50y ≥ 0.30(x + y)

0.25x + 0.50y ≥ 0.30x + 0.30y

0.20x - 0.20y ≥ 0

Now, we can plot the feasible region using the given constraints. The region will be bounded by the lines x + y = 100,000 and 0.20x - 0.20y ≥ 0. However, since the region is defined in terms of the total volume, we can simplify the plot by considering only the positive quadrant (x ≥ 0, y ≥ 0).

By substituting x = 0 and y = 100,000 into the minimum sand content constraint, we can check if the constraint is satisfied:

(0.25 * 0 + 0.50 * 100,000) / (0 + 100,000) ≥ 0.30

50,000 / 100,000 ≥ 0.30

0.50 ≥ 0.30

Since the constraint is satisfied at this point, we know the feasible region lies above or on the line x = 0, y = 100,000.

Now, by substituting x = 100,000 and y = 0 into the minimum sand content constraint, we can check if the constraint is satisfied:

(0.25 * 100,000 + 0.50 * 0) / (100,000 + 0) ≥ 0.30

25,000 / 100,000 ≥ 0.30

0.25 ≥ 0.30

Since the constraint is not satisfied at this point, we know the feasible region lies below the line x = 100,000, y = 0.

Finally, we can plot these two lines and shade the feasible region between them. The point that minimizes the objective function within this region will be the optimal solution.

Step 5: Calculate the savings:

If the contractor had used 60,000 m3 from Bloomingdale and 40,000 m3 from Valley Springs, we can calculate the cost for that scenario and compare it with the cost of the optimal solution.

Cost with the contractor's plan:

Cost = 5(60,000) + 7(40,000)

Cost with the optimal solution (as determined in Step 4):

Calculate the values of x and y from the optimal solution and substitute them into the objective function Cost = 5x + 7y.

The savings can be calculated as:

Savings = Cost with the contractor's plan - Cost with the optimal solution

By comparing the costs, you can determine the amount saved by giving the expert advice.

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Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

Answer:

G. 226 mm

Step-by-step explanation:

C=2(3.14)(36)

Answer: By having the arrow going to the left of the number line

Step-by-step explanation:

When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.