Write the polynomial with roots 4, -3, and -6 (double root) with NO stretch factor

Answer:

y = -3x +20

Step-by-step explanation:

Equation of line: y =mx + b

Where m is the slope and b is the y-intercept.

3x + y = 17

Write the above equation in y = mx +b form.

      y = -3x + 17

m = -3

Parallel lines have same slope.

So, slope of the required line is (-3).

     y = -3x + b

This line is passing through (4,8). Substitute in the above equation and find the value of 'b'.

       8 = -3*4 + b

        8 = -12 + b

  8 + 12 = b

          b = 20

Equation of the line:

               [tex]\sf \boxed{ y = -3x + 20}[/tex]

Answer:

16-7x

Step-by-step explanation:

10x-3x+7-6-4x+5

16-7x

Given:

The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].

To find:

The H.C.F. of the given expressions.

Solution:

The two expressions are:

[tex]2x^2(x+2)(x-2)[/tex]

[tex]4x(x+2)(x-4)[/tex]

It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.

[tex]H.C.F.=2x(x+2)[/tex]

Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].

Answer:

y=-4x+40

Step-by-step explanation:

I graphed it. Also, the y-intercept was obviously 40 and the slop was rise/run which is 40/10 which is 4 but the graph is negative so -4

Answer:

Sabemos que una función lineal es de la forma:

f(x) = m*x

Mientras que una funcion afin es de la forma:

g(x) = m*x + n

Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).

a) y = -5*x

No tenemos término constante, entonces es una función lineal.

b) y = -3*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

c) y = 2*x + 4

Acá tenemos un término constante igual a 4, entonces esto es una función afín.

d) y = (1/4)*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

Answer:

∠1 = 90° because the figure is a kite and the diagonals form 90° angles

∠2 = 90° - 27° = 63°

∠3 = ∠2 = 63°

Answer:

m<1 = 90 degrees

m<2 = 63 degrees

m<3 = 63 degrees

Step-by-step explanation: Angle 1 is a right angle, which is equal to 90 degrees. To find angle 2, you must know that a triangle's angles all add up to 180 degrees. You must realize that the angle below the 2 is 90 degrees since it is supplementary to angle 1. Now, you have to add the given angle of 27 degrees to 90 degrees and then subtract that sum from 180 degrees to get an answer of 63 degrees (27+90=117 --> 180-117=63). Angles 2 and 3 have the same value because they are basically symetrical to one another since both of their triangle's side lengths are equivalent.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a correlation or regression includes zero, that means that if you run the experiment again there is a good chance of finding no correlation in the data.

In both of these cases, you will also find a high p-value when you run the statistical test, meaning that the results could have occurred under the null hypothesis of no relationship between variables or no difference between groups.

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Answer:

a=15

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formulas are 3+. 75x and 14+. 5x. Plug them into a graphing calculator and find where the lines intersect. Or plug in each answer choice for x and see which one give you the same answer

Answer:

44

Step-by-step explanation:

i cant show work, but i got this same question right.

Answer:

pretty sure its 5

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, a complete question is in the form:

Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. 260°

Solution:

There are four quadrants which divides into four equal parts. If θ is the angle:

If θ falls in the first quadrant, the reference angle = θ

If θ falls in the second quadrant, the reference angle = 180 - θ

If θ falls in the third quadrant, the reference angle = θ - 180

If θ falls in the fourth quadrant, the reference angle = 360 - θ

Given 260°, this falls in the third quadrant, hence the reference angle = 260 - 180 = 80°.

In the third quadrant, sine and cosine are negative while tangent is positive. Hence:

sin(260) = -sin(80) = -0.985

cos(260) = -cos(80) = -0.174

tan(260) = tan(80) = 5.67

On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

so, we apply permutation

P(12,4) = 12!/ 8! = 11880

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Yes, the lengths of the two sides of an isosceles triangle are equal.

An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.

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Answer:

4/7

Step-by-step explanation:

5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7

Using PEDMAS to solve the mathematical expression given, the value is 2

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. It is an acronym used to remember the order of operations in math problems. It is also sometimes referred to as Order of Operations.

In this problem, we will need to use and apply the rules of PEMDAS.

We will need to break this into different components and then bring them together afterwards.

[(3/5 + 0.425 - 0.005) ÷ 0.1] / [30.5 + 1/6 + 3(1/3)] + [6(3/4) + 5(1/2)] / [(26 ÷ 3(5/7)] - 0.05

This becomes ;

[10.2 / 34] + [12.25 / 7] - 0.005

We can further resolve this into

2.05 - 0.005

And then we just subtract the values from one another

2.05 - 0.005 = 2

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For the polynomial 9, 3x², 8x; the degree is 2 and the leading coefficient is 3

An equation is used to show the relationship between numbers and variables.

Polynomial is an expression composed of variables, constants and exponents using mathematical operations such as addition, subtraction, multiplication and division

The degree is the highest exponent of variable for the polynomial. The polynomial with degree of 2 is known as a quadratic polynomial

Given the polynomial:

9, 3x², 8x

Writing in standard form is done by rearranging from highest exponent of variable to least. This is:

3x², 8x, 9

Hence the degree is 2 and the leading coefficient is 3

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Answer: False

The estimated points can be found first by counting on the x-axis then the y-axis. Negative numbers are to be counted downward on the y-axis, positive numbers are to be counted upwards on the y-axis. Negative numbers are to be counted to the left of the x-axis, positive numbers are to be counted to the right of the x-axis

Answer:

x=42.5

Step-by-step explanation:

First, start by setting up the equation

these are both same side interior angles, so they both add up to 180

(3x+10) + x = 180

4x+10 =180

subtract both sides by 10

    -10    -10

4x=170

divide both sides by 4

x=42.5

Answer:

1,792 c = 112 gal.

Step-by-step explanation:

Because their 16 cups in 1 gallon, we will divide 1,793 by 16 and we get 112.  Therefore, 112 is our answer.

Answer:

112 gallons

Step-by-step explanation:

there are 16 cups in 1 gallon

1=16

?=1792

to solve this, divide 1792 by 16 to get 112 gallons

112*16 is 1792

Answer:

i'm not to sure but i think its all no

Step-by-step explanation:

Answer:

3x([tex]y^{4}[/tex]+2)-9

hope this helps :DDDDD

The value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.

A number is 6 more than half of the other number, which is x.

This statement is represented by the mathematical equation x/2 + 6.

So, we have the expression:

4x(3-x)+5x(x-2)

Now, the value of the expression when x = -3.

Insert values and calculate as follows:

4x(3-x)+5x(x-2)

4(-3)(3-(-3))+5(-3)((-3)-2)

-12(6)-15(-5)

-72 + 75

3

Therefore, the value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

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Correct question:

What is the value of the expression 4x(3-x)+5x(x-2) for x=(-3)​?

Answer:

A

Step-by-step explanation:

36 divided by 4 is 9 than you multiple that by 3 which is 27.

Answer: D

Step-by-step explanation:

In this problem, we are asked to find the domain of the function. Domain is finding the interval of the function of the x value.

Since we are finding domain, we can eliminate A and B because those are looking at y interval, or range.

This leaves us with C and D. They are almost the same except for the ≤ in C and < in D. The difference between ≤ and < is the fact that ≤ includes and touches the point, and < doesn't.

The function has open circles at x=-3 and x=3. That means they don't touch and include x=-3 and x=3. The function only get's really close to those points, but not include them. This tells us that D is the answer.

The domain of the function is {x | −3 < x < 3}. Thus, Option D holds the truth.

The domain of a function refers to the interval of the x values of the function.

In this case, we are asked to find the domain of a linear function that is shown on a graph. The graph starts at an open circle at negative 3, negative 5 and ends at an open circle at 3, 7.

To find the domain, we need to look at the x interval of the function. Options A and B refer to the y interval or range and can be eliminated.

The remaining options, C and D, are similar, except for the fact that C includes and touches the point with "≤", while D doesn't with "<". The open circles at x=-3 and x=3 indicate that the function only gets close to these points, but does not include or touch them.

Thus, the correct answer is option D, {x | −3 < x < 3}.

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Domain: all the real numbers  

Range: y ≤ 9/5

i hope u can see the attached graph! :)

Answer:

a)

Step-by-step explanation:

vertex is at (-0.4, 1.8) so range must be less than or equal to 1.8

A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide. So the height of the box is 4.2 feet.

The formula to find the volume of a rectangular box is

V = lwh

where l is the length, w is the width, and h is the height.

Given that the volume of the box is 15.75 cubic feet, the length is 2.5 feet and the width is 1.5 feet, we can use the formula to find the height.

V = lwh

15.75 = 2.5 × 1.5 × h

h = 15.75/ (2.5 × 1.5)

h = 4.2

Therefore, the height of the box is h = 4.2 feet

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Answer:

A. 9 [tex]cm^{2}[/tex]

B. 9.6 [tex]cm^{2}[/tex]

C. 38.4 [tex]cm^{2}[/tex]

D. 47.4 [tex]cm^{2}[/tex]

Step-by-step explanation:

A. Area of the base of the pyramid = length x length

                                               = 3 x 3

                                               = 9 [tex]cm^{2}[/tex]

B. Area of one lateral face of the pyramid = area of a triangle

                                                = [tex]\frac{1}{2}[/tex] x base x height

                                                = [tex]\frac{1}{2}[/tex] x 3 x 6.4

                                                = 9.6 [tex]cm^{2}[/tex]

Area of one lateral face of the pyramid  = 9.6 [tex]cm^{2}[/tex]

C. The lateral surface area of the pyramid =  4 x area of one lateral face

                                                  = 4 x 9.6

                                                  = 38.4

The lateral surface area of the pyramid =  38.4 [tex]cm^{2}[/tex]

D. The total surface area of the pyramid = lateral surface area of the pyramid +  area of the base

                                                  = 38.4 + 9

                                                  = 47.4

The total surface area of the pyramid = 47.4 [tex]cm^{2}[/tex]

Answer:

Step-by-step explanation:

because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,

we konw, AR=HD, They have a common segment HR, as well as the same angle，so HRA≅RHD

Answer:

13X

Step-by-step explanation:

if I am correct I added 6+7 then add X to it.

Answer:

∠ 1 = 37°

Step-by-step explanation:

(9x - 8) and (6x + 7) are corresponding angles and are congruent, then

9x - 8 = 6x + 7 ( subtract 6x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

∠ 1 = 6x + 7 = 6(5) + 7 = 30 + 7 = 37°