Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

Which Polynomial Function Has A Leading Coefficient Of 1, Roots -2 And 7 With Multiplicity 1, And Root

Answers

Answer 1

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

Answer 2

Answer:

D on edge

Step-by-step explanation:


Related Questions

How many solutions does this system of equations have?

Answers

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650, Write and solve a linear equation to find the population on Beth's 16th birthday.


I only need the equation pls help

Edit: the equation needs to be in slope intercept form

Answers

Answer:

editor edit

37,650

Step-by-step explanation:

37650

If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?

Answers

Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23

Answers

Answer:

84 x is your answer right answer right


6x = -24 Solve for x. *Please click on "show your work" to set up the problem and show your work. Then,
enter your answer in the box to the right. You must complete both of these steps.

Answers

Answer: x=-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

You would begin by dividing 6 from each side to get x alone so it'll look like this:

x = [tex]\frac{-24}{6}[/tex]

When you divide, you get -4 because a negative divided by a positive is still negative.

Hope that helps!

12. What type of triangle is shown? ​

Answers

Answer:

Scalene triangle, right triangle.

Step-by-step explanation:

To find out what type of triangle this is, we have to find x, so we set up an equation:

The sum of interior angles in a triangle add up to 180°

(2x + 15°) + (4x - 10°) + (x) = 180°

Open paranthesis:

2x + 15° + 4x - 10° + x = 180°

Combine like terms:

7x +  5° = 180°

Same to both sides

7x = 175°

x = 25°

We plug in x for each of the values:

2(25°) + 15° = 65°

4(25°) - 10° = 90°

25° = 25°

Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle

I hope this helped, let me know if you have any questions.

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

Find the length of y

Answers

Answer:

25 cm

Step-by-step explanation:

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

Answers

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

Answer: B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

[tex]x_{B}=x_{A}+4[/tex]

Point A has coordinates ( -3, 3), then:

[tex]x_{B}=-3+4[/tex]

[tex]x_{B}=1[/tex]

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

[tex]y_{B}=y_{A}[/tex]

[tex]y_{B}=3[/tex]

Point D will be 4 units to the right of point C:

[tex]x_{D}=x_{C}+4[/tex]

Coordinates of point C are ( -3, -2):

[tex]x_{D}=-3+4[/tex]

[tex]x_{D}=1[/tex]

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

[tex]y_{D}=y_{C}[/tex]

[tex]y_{D}=-2[/tex]

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

Is the relation below a function?
-3
-1
-1
3
у
0
1
2
3

Answers

Answer:

I believe it would be "y"

Step-by-step explanation:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Answer:

I would say no!

Step-by-step explanation:

cause we cannot determine the rule of mapping so y is no an image of x

What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid

Answers

Answer/Step-by-step explanation:

To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.


Please help I will give brainlist ❤️

Answers

I need more context sorry

Convert into log form
a^b = c

Answers

Answer:

(c) ( c ) . logb(a)=c log b

Step-by-step explanation:

The area of circle can be expressed by the
formula A = ar?where r is a radius of circle.
express radius in terms of area of circle.

Answers

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Answers

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

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Graph and then find the perimeter of this shape. H(3, 0), I(3, 7), J(6, 7), K(6, 0)

Answers

Answer:

20 units

Step-by-step explanation:

Graphed the points to find out it is a rectangle with sides 3 and 7.

Vertical segments with distance 7 - 0 = 7Horizontal segments with the distance 6 - 3 = 3

The perimeter is:

P = 2(3 + 7) = 20 units

Answer:

50 points

Step-by-step explanation:

I did it and got an A

Barry wants to make a drawing that is 1/2 the size of the original. If a tree in the original drawing is 11 inches tall and 5 inches wide,

Answers

Answer:

Barry's drawing is  5.5 in  tall and 2.5 in wide.

Step-by-step explanation:

We are given that

Height of tree, h=11 in

Width of tree, b=5 in

We have to find the size of the original.

Size of drawing is 1/2 size of the original

Therefore,

Height of drawing, h'=[tex]\frac{1}{2}\times 11[/tex]in

Height of drawing, h'=5.5 in

Width of drawing tree=[tex]\frac{1}{2}\times 5[/tex]

Width of drawing tree=[tex]2.5in[/tex]

Hence, Barry's drawing is  5.5 in  tall and 2.5 in wide.

Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

B. 13 (x - 10) = -4

Answer: x =
Its a neg #

Answers

X=9.69
you have to distribute the 13 to x and -10 which gives you 13x-130=-4 then you add 130 to -4 because your going over the equal sign and it gives you 126 next you divide 126 by 13 which gives you 9.69

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7​

Answers

Answer:

D) 2 and 7

Step-by-step explanation:

x+y=9

x-y=5

----------

2x=14

x=14/2=7

7+y=9

y=9-7=2

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

Answers

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!

Answers

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

porque el factor común está relacionado con la propiedad distributiva​

Answers

Answer:

El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas

You conduct a simulation regarding students scores on a physics test. Your null hypothesis is
that the mean score on the test is less than or equal to 80 points. Your alternative hypothesis is
that the mean score is greater than 80 points.
You determine that the results of your simulation have a p-value of 0.06. What does this mean?

Answers

Under the tested hypothesis, the outcome of the simulation has a probability of 6%. With a significance level of 5%, you should FAIL to reject the null hypothesis.

The p-value is the probability of getting true null hypothesis.

What is Null Hypothesis and Alternative Hypothesis?

Null hypothesis is a hypothesis of a test which assumes that there is no statistical relationship between two variables. This is the hypothesis which is being testes.

Alternative hypothesis assumes that there is a relationship between two variables.

Given that,

You conduct a simulation regarding students scores on a physics test.

Null hypothesis is that the mean score on the test is less than or equal to 80 points.

Alternative hypothesis is that the mean score is greater than 80 points.

p value = 0.06 = 6%

This means that there is only a 6% that the null hypothesis of yours is true.

So the p value tells you the probability of getting a true null hypothesis.

Hence the p value is the probability of getting true null hypothesis.

Learn more about Hypothesis here :

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what 5/8x + 1/2 (1/4x + 10)? ​

Answers

Use photo math it’s free in any telephone

Answer:

3/4x + 5

Step-by-step explanation:

5/8x + 1/2 ( 1/4x + 10) = 5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5

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