f(t)=-12(t+7)^2(t+6)^3(t+2)^6


Find the zeros and the multiplicities. Please help.

Answers

Answer 1

The zeros and the multiplicities of the polynomial are t = -7, t = -6 and t = -2 and 2, 3 and 6, respectively

How to determine the zeros and the multiplicities

The equation of the polynomial is given as

f(t) = -12(t+7)²(t+6)³(t+2)⁶

The multiplicities are the powers of the factors while the zeros are calculated by setting the factors to 0

So, we have

t + 7 = 0

t + 6 = 0

t + 2 = 0

Calculate the value of t

t = -7, t = -6 and t = -2

Hence the zeros are t = -7, t = -6 and t = -2

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Related Questions

PLEASE ASAP I NEED HELP
Given the inequality 4x ≤ 28, which of the following is a solution that makes the inequality true?

Answers

The value of the inequality equation is x ≤ 7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

4x ≤ 28   be equation (1)

Now , on simplifying the equation , we get

Divide by 4 on both sides of the inequality equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

All the numbers less than or equal to 7 satisfies the condition for x

The value of the equation x ≤ 7 is shown in the graph below

Hence , The value of the inequality equation is x ≤ 7

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Algebra
will mark brainliest

Answers

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let's check all the options, then

A)  y ≤ (1/4)x - 1

At (-5, -7), we have

-7 ≤ (1/4)(-5) - 1

-7 ≤ -2.25

This is incorrect.

B)  x + y ≤ 3

At (-5, -7), we have

-5 + (-7) ≤ 3

-12 ≤ 3

This is correct.

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

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Find the area of a Shaded portion

Answers

Find the area of a Shaded portion.

D. 68

What is the value of Negative 3 squared + (negative 4 + 7) (2)?
–28
–3
3
15
I am on a unit test hurry please

Answers

-3^2+(-4+7)(2)

answer = 15

Answer:

15

Step-by-step explanation:

a negative number squared is positive, so its 9 + (-4 + 7)*2. 7-4 is 3, which we then multiply by 2 to get 6. Now add that to 9 to get 15.

Hope this helps!

Given the ratio 8 ounces to 1 cup,how many ounces are in 4 cups?

Answers

Answer:

32 oz

Step-by-step explanation:

Given the ratio 8 ounces to 1 cup, how many ounces are in 4 cups?

4 * 8 oz = 32 oz

describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7

Answers

The mean of the given sample data is 210, and the standard deviation is 7.937.

Given size 'n' = 300

The population proportion 'p' = 0.7

Let 'x' be the random variable of the binomial distribution

a)  mean of the binomial distribution  = n p = 300 × 0.7

                                                              μ  = 210

b)  variance of the binomial distribution

⇒ n p q

⇒ 300 × 0.7 ×0.3

⇒ σ² = 63

The standard deviation of the binomial distribution:

⇒ √n p q = √63 = 7.937

Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.

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The question seems to be incomplete the correct question would be:

describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution

At as sale, suits were sold for $72 each. This price was 45% of a suits original price. How much did a suit originally cost?

Answers

Answer: 1680. The answer is 1680 because 56% of 3000 is 1680 people.

Answer:

The suit orginally costed $160 dollars.

Step-by-step explanation:

What occurs when you are dealing with objects that are round
static friction
sliding friction
rolling friction​

Answers

rolling friction because an object that is round is rolling

nswer the question.
The table shows the amount of fabric needed to make each item of doll clothes. Tamara is making 5 of
Fabric for Doll Clothes
Item Amount of Fabric Needed (feet)
Blouse2/12
Jacket 7/12
Skirt 7/12
How many feet of fabric are needed to make 5 of each item? Move numbers to the boxes to show the answer. If there is no whole number
put a 0 in the first box.

Answers

Equation:

5 x (2/12 + 7/12 + 7/12) = f                    f = amount of fabric needed

Solve:

10/12 + 35/12 + 35/12 = f

80/12 = f

Simplify:

6 8/12

Answer:

Tamara needs 6 ft and 8 inches of fabric to make five of each item.

6. Alex says he can find the product for
(3 X 5) X 2 by solving 3 X (5 × 2).
Is Alex correct?

Answers

Answer: Yeah

Step-by-step explanation: Multiplication can be done in any order, so using parenthesis to denote which numbers to multiply first should not matter.

Use two different methods to find and explain a formula for the area of a trapezoid
that has parallel sides of length a and b and height h. Consider these ideas or others: (a)
Combine two copies of the trapezoid to make a parallelogram. (b) Subdivide the trapezoid
into two triangles, one with base b and one with base a.

Answers

The two possible ways to find the area are -

A = (1/2) × {a + b} × {h}A = {b x h} - (1/2) x {(b - a} x h}

What is trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Area : ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sidesPerimeter : sum of lengths of sides of trapezoidNumber of vertices : 4Number of edges : 4Properties : Convex polygonType : QuadrilateralSum of interior angles : 360°

We have a trapezoid.

Now, we can find the area in two ways -

[1] -

A = (1/2) × {a + b} × {h}

[2] -

A = {b x h} - (1/2) x {(b - a} x h}

Therefore, the two possible ways to find the area are -

A = (1/2) × {a + b} × {h}A = {b x h} - (1/2) x {(b - a} x h}

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A cafeteria sold 36 cartons of regular flavored milk. If the ratio of regular milk sold to chocolate milk sold was 9:4, what is the combined amount of chocolate and regular milk sold?

Answers

Answer:

The combined amount of chocolate and regular milk sold was 52 cartons.

Step-by-step explanation:

1. Divide

36 ÷ 9 = 4

(This means that the ratio has a unit rate of 4. That means):

2. Second ratio rate

4 x 4 = 16

(Because the unit rate is 4).

3. Add

(Now, we add the original 36 cartons with the 16 cartons we found because the first step was just for finding the unit rate).

36 + 16 = 52 cartons.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Add a term to the expression so that it becomes a perfect square trinomial.
x2-22x +

Answers

Answer:

Step-by-step explanation:

is times 43

Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.

the product of two numbers divided by 5

Answers

Step-by-step explanation:

xy/5

.........

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

Find the quadratic equation whose parabola has vertex (3, –2) and y-intercept (0, 16). Give your answer in vertex form, and show your work.
Please Help!!

Answers

Answer:

y = 2(x-3)^2-2

Step-by-step explanation:

We can find the quadratic equation by using the vertex form.  The vertex form of a quadratic equation is:

[tex]y=a(x-h)^2+k[/tex], where x and y are any point on the parabola, a is the constant (indicating whether the parabola opens up or down), and h and k are the coordinates of the vertex.

Since we already have the y-int (an x and y coordinate lying on the parabola) and the vertex, we can plug in both to find a:

[tex]16=a(0-3)^2-2\\16=a(-3)^2-2\\16=9a-2\\18=9a\\2=a[/tex]

Thus, the equation is:

[tex]y=2(x-3)^2-2[/tex]

write an algebraic expression that marshall can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. How much will it cost to buy a watermelon that weighs 18 1/2 pounds and 5 pounds of tomatoes if watermelon cost $0.68 and the tomatoes cost $3.25

Answers

Answer: The cost will be a total of $142.05. That is $125.80 for a Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are 0.68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight

Let t = tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

Mia is traveling from her house to her sister’s home. She took the bus to the car rental lot and is now driving the rest of the way at a constant rate of speed. What does the -intercept represent in this problem?
the distance (mi) that Mia traveled on the bus to the car rental before she started driving the car
the distance (mi) that Mia traveled from the car rental lot to her sister's home
the amount of time (hr) elapsed for every mile the car travels from the car rental lot
the distance (mi) the car travels from the car rental lot for every 1 hour elapsed

Answers

Answer:

The distance (mi) the car travels from the car rental lot for every 1 hour elapsed.

Step-by-step explanation:

Suppose the following estimated regression equation was determined to predict salary based on years of experience.

Estimated Salary=22,717.59+2732.16(Years of Experience)
What is the estimated salary for an employee with 7 years of experience?

Answers

The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 41,842.71

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The estimated regression equation was determined to predict salary based on years of experience is,

⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)

Now,

Since, The equation is,

⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)

Hence, The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 22,717.59 + 2732.16 × 7

⇒ Estimated Salary = 22,717.59 + 19,125.12

⇒ Estimated Salary = 41,842.71

Thus, The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 41,842.71

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(3.76x 10-8 )-(2.94 x 10-8)
Write your answer in scientific notation

Answers

Hope this helps you


John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.

Use the on-screen keyboard to type the inequality that represents this situation in the box below.

Answers

Answer:

Step-by-step explanation:

he could buy 2 pounds of chocolates and save $1.

The perimeter of a rectangle is 54 inches and the length of one of its sides 6 inches. What is the combined length of the other three sides, in feet?

Answers

Answer:

4 ft

Step-by-step explanation

the combined length of the other three sides can be found with 54-6 is 48 inches

48 inches can be turned into feet by dividing by 12.

48in / 12=4ft

Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.​

Answers

Refer to the photo taken.

Solve for m.

m+15<−123
Responses

m>−11315
m is greater than negative 1 and 13 over 15

m>−1715
m is greater than negative 1 and 7 over 15

m<−1715
m is less than negative 1 and 7 over 15

m<−11315
and show work

Answers

The solution to the inequality is m < −1 13/15 . m is less than negative 1 and 7 over 15

How  to solve for the inequality

In this question we have to solve for the inequality that is given as m + 1/5 < -1 2/3

We would have to rewrite the equation using the math tool

[tex]m +\frac{1}{5}\leq 1\frac{2}{3}[/tex]

The mixed fraction can be properly rewritten  as improper fraction

[tex]m +\frac{1}{5}\leq \frac{5}{3}[/tex]

subtract 1/5 from 5/3

[tex]m\leq -\frac{5}{3} -\frac{1}{5}[/tex]

we have to carry out the subtraction of the fraction

[tex]m < \frac{-25-3}{15}[/tex]

[tex]m < \frac{-28}{15}[/tex]

This can be written in mixed fraction as

[tex]m < -1\frac{13}{15}[/tex]

Hence the solution of m is D. m < −1 13/15

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Complete question

m + 1/5 < -1 2/3

Responses

A. m > −1 13/15

m is greater than negative 1 and 13 over 15

B. m > −1 7/15

m is greater than negative 1 and 7 over 15

C. m < −1 7/15

m is less than negative 1 and 7 over 15

D. m < −1 13/15

m is less than negative 1 and 7 over 15

need help with this one keep getting wrong answer

Answers

Answer:

try socratic

Step-by-step explanation:

The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?
Group of answer choices

45

15

60

32

Answers

Answer:

15:25 or 15 brownies

Step-by-step explanation:

25 / 5 = 5 (scale factor)

3 * 5 = 15

chris is 5 years older than 4 times arins age. the sum of their ages is less than 40. what is the oldest arin could be?

Answers

Answer: 6 years old.

Step-by-step explanation:

Chris: 5+4a

c + a<40

5 + 4a + a < 40

5a<35

a<7

For the oldest, let's assume Arin is 6, because it is the highest number that is less than 7.

Arin can be maximum of 6 years old.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let the Arin's age be x.

So, Chris age is 4x + 5

Now, the sum of their ages is less than 40.

x+ 4x+ 5 < 40

5x < 35

x < 7

Hence, Arin can be maximum of 6 years old.

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find the slope and y-intercept of the line 3x - 5y = 15

Answers

The slope of the given line, 3x - 5y = 15, is 3/5 and the y-intercept is -3

Determining the slope and y-intercept of a line

From the question, we are to determine the slope and y-intercept of the given line.

The given line is

3x - 5y = 15

To determine the slope, we will write the equation in the slope-intercept form of a line.

The slope-intercept form of a line is given as

y = mx + b

Where m is the slope

and b is the y-intercept

Now, we will express the given equation in this form

3x - 5y = 15

-5y = 15 - 3x

Divide through by - 5

y = -3 + 3/5x

y = 3/5x - 3

By comparing to the slope-intercept form of a line,

m = 3/5

and b = -3

Hence, the slope is 3/5 and the y-intercept is -3

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Given the definitions of f(x) and g(x) below, find the value of (ƒ o g)(2).
f(x) = -x + 2
g(x) = x² – 5x – 2

Answers

Wdym by definition Answer:

Step-by-step explanation:

A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters. Is it a right triangle?
PLSSS HURRY !!!!!!!!!!

Answers

For the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters is the right triangle.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that, A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters.

We have to verify whether it is a right-angle triangle or not.

A right-angle triangle must follow the Pythagoras theorem.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

If the longest side is the hypotenuse.

h²=p²+b²

LHS

68² = 1424

RHS

60²+25²

3600+625

4225

L.H.S=R.H.S

Thus, the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters in the right triangle.

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ILL GIVE BRAINLIESTTTT PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

c) Propability of rolling doubles=6

Propability of rolling a sum grrater then or equal to 8 = 15

(Together add up to 21)

d)6 ->(1,1)(1,2)(1,3)(2,1)(2,2)(3,1)

e)9 ->(1,6)(3,4)(5,2)(3,5)(5,3)(3,6)(5,4)(5,5)(5,6)

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