-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False

Answers

Answer 1

Answer:

true

Step-by-step explanation:

If x = - 3 is a zero of the polynomial then f(- 3) = 0

f(x) = x³ + 7x² + 16x + 12

     = (- 3)³ + 7(- 3)² + 16(- 3) + 12

     = - 27 + 63 - 48 + 12

     = 0

Since f(- 3) = 0 then x = - 3 is a zero of the polynomial


Related Questions

What is the value of 53?

Answers

Answer:

Value of 53 is 53

Step-by-step explanation:

Y= -8x + 10/9 what is the y intercept

Answers

Answer:

10/9

Step-by-step explanation:

This equation is in slope-intercept form, this is referring to the y-intercept. Slope-intercept is y=mx+b, where m is the slope and b is the y-intercept. Therefore, 10/9 is the intercept while -8 is the slope.

Find f (-12) if f (x) = -12x + 100​

Answers

f(-12) = -12(-12) + 100 = 144 + 100 = 244

Answer:

244

Step-by-step explanation:

Substitute -12 as x.

f (-12) = -12(-12) + 100

f (-12) = 144 + 100

f (-12) = 244

I hope this helped! :)

I have a spinner that is divided into 4 equal sections colored red, blue, green, and yellow .If I spin the spinner twice ,What is the probability that the spinner will land on yellow both times ?

Answers

Answer:

is of 25%

Step-by-step explanation:

The probability that the spinner will land on yellow both times is 1/16.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner is divided into 4 equal sections colored red, blue, and green.

So, N(S) = 4 and N(R) = 1, N(B) = 1, N(G) = 1 and N(Y) = 1.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

As the events of getting yellow both times is independent,

The likelihood that the spinner will hit yellow twice is,

P(Y, Y) = P(Y)×P(Y).

P(Y, Y) = (1/4)×(1/4).

P(Y, Y) = 1/16.

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PLEASE HELP!! WORTH 5 POINTS ON MY TEST!! GIVING 30 POINTS!!
FIND BD

Answers

Answer:

16

Step-by-step explanation:

Hello so
16 is the answer

How do I know if it is integers or real numbers?
Will give the brainliest to the first person

Answers

Answer:

A.) (INTEGERS)

Step-by-step explanation:

I HOPE IT HELP:)

Explain the steps of graphing 2x + 4≤ 12.

Answers

Answer:

Step-by-step explanation:

First, you want to simplify so the equation would be x+2≤6 or x≤4

Because you are solving for x you want to graph a vertical line on 4.

Then you shade on the left side of the line because it is less than or equal to. If it were just less then you would do a dashed line on 4 but because it is also equal to 4 then you keep it a solid line.

I recommend using Desmos graphing calculator.


Find the surface area.
13.5 in
9 In
9 in.
10 in.

Answers

the surface area of the body is approximately 739.72 square inches. first find the area of the two triangles (base and top) using Heron's formula

what is surface area ?

Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object, including the top, bottom, and sides. Surface area is usually measured in square units, such as square inches or square meters.

In the given question,

Let's first find the area of the two triangles (base and top) using Heron's formula:

For the base triangle with side lengths 9, 10, and 13.5:

s = (9 + 10 + 13.5)/2 = 16.25

Area = √(s(s-9)(s-10)(s-13.5)) = 35.44 square inches

For the top triangle, the side lengths are the same, so the area is also 35.44 square inches.

Now, let's find the area of the four sides. We can divide the body into two trapezoids and two triangles. The trapezoids have heights of 9 inches and bases of 9 and 10 inches. The triangles have a base of 13.5 inches and a height of the slant height of the trapezoid, which we can find using the Pythagorean theorem:

h = √(13.5² - (10-9)²) = √(146.25) = 12.1 inches

So, the area of each trapezoid is:

(9/2)*(9+10)*√(146.25 - 9.5²) = 252.28 square inches

And the area of each triangle is:

(1/2)13.512.1 = 81.94 square inches

Finally, the total surface area is the sum of all these areas:

35.44 + 35.44 + 252.28 + 252.28 + 81.94 + 81.94 = 739.72 square inches

Therefore, the surface area of the body is approximately 739.72 square inches.

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A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [

Answers

Answer:

y = 4x+3

Step-by-step explanation:

The equation in point slope form is expressed as y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

If a line is parallel to y = 4x + 1, the slope of the line m = 4

Substitute m = 4 and the point (-2, -5) into the equation above;

y - (-5) = 4(x - (-2))

y+5 = 4(x+2)

y+5 = 4x+8

y = 4x+8-5

y = 4x + 3

Hence the equation of the line is y = 4x+3

Which of these is the best definition of an ellipse?
A. The set of all points in a plane for which the sum of the distances
to two fixed points equals a certain constant
B. The set of all points in a plane for which the difference between
the distances to two fixed points equals a certain constant
C. The set of all points in a plane that are equidistant from a single
point and a line
D. The set of all points in a plane that are a certain distance from a
single point

Answers

Letter A just did it

Write two equivalent expressions for 15(3 + w).
1.
2.

Answers

1. 45+15w

2. 3(15+5w)

Please mark brainliest


Solve each problem. Explain or show your reasoning.
What is 25% of 160?
What is 39% of 200?
What is 150% of 32?
13 is 50% of what number?
18 is 120% of what number?
21 is what percentage of 30?
I NEED HELP

Answers

1: 40 2: 78 3: 48 4: 26 5: 15 6: 70

The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.​

Answers

Answer:

The number must be greater than 6.7. Thus, the sum will be negative.

For example, the number could be 7.

6.7 - 7 = -0.3

The number can be in the range -  x ∈ (- ∞ , - 6.7)

We have - the sum of 6.7 and a number is negative.

We have to determine the possible value of that number.

For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10

For f(x) to be negative -

f(x) < 0

2x + 10 < 0

2x < - 10

x < - 5

x ∈ (- ∞ , - 5)

According to the question, we have - the sum of 6.7 and a number is negative.

Now -

6.7 + x < 0

x < 6.7

x ∈ (- ∞ , - 6.7)

Hence, the number can be in the range -  x ∈ (- ∞ , - 6.7).

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Consider the table shown above. What is the value of f(g(3)) ?

Answers

Answer: D-8

Step-by-step explanation:

6+2

The value of f(5), according to the provided table, is 5.

Evaluation of Functions:

Evaluating a function means finding the value of an input inserted in a certain function. The input is the domain of the function, and the result is the range of the function. The domain is represented by the x-axis and the range is represented by the y-axis when a function is graphed.

The function f(g(x)) is called a composite function because it is made of two functions. For composite functions, the final value is obtained by performing two steps. The first step is finding the value of the function on the inside. Then, the value of the inside function is used, and the outer function is calculated for that value. So we first have to find the value of g(3), meaning that x is equal to 3.

According to the provided table for the values of x and g(x), when the value of x is 3, the value of g(x) is 6. This is the first step. The subsequent step is finding the value of the f(x) function. The x of this function is the value of g(x), which is 6. The value of f(5), according to the provided table, is 5.

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Molly has two less than three times as much money as Ben. If Molly has $40.96, how much money does Ben have

Answers

Answer:

$61.44

Step-by-step explanation:

Molly. Ben

2x. 3x

40,96÷2x

=20.48

Ben's money

3(20.48

=$61.44

Pls help me, this is past due and every day it’s pasted due I get points deducted:( (I have an F in math)

Answers

Answer:

Part A: 3 3/4 Part B: 5 1/4

Step-by-step explanation:

Part A: 3/4x5=3 3/4

Part B: 3 3/4 +1 2/4=5 1/4

3,6,12,24,_,_


What’s the number pattern

Answers

Answer:

48 and 96...,.................

Answer:

3,6,12,24,48,96

Step-by-step explanation:

multiply by 2.

56 + (- 56)
Please needed as possible

Answers

Answer:

0

Step-by-step explanation:

56-56=0

Answer:

0

Step-by-step explanation:

if you add than subtract in an equation like that, just ignore the addition and subtract.

PLEASE HELP
Simplify
(8x + 3)(2^2+ 8x +9)

Answers

Answer:

64x²+128x+39

Step-by-step explanation:

(8

Answer:

First distribute (8x + 3) into (2^2+ 8x +9)

16x^3 + 64x^2 + 72x + 6x^2 + 24x +27

Then we'll order the pairs from highest to lowest degree

16x^3 + 64x^2 + 6x^2 + 72x + 24x + 27

Then we'll add up the like terms

16x^3 + 70x^2 + 96x + 27

That should be your final answer simplified.

In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =

Answers

Answer:

∠p= 15°  ,  ∠q = 108°   , ∠r = 57°  Is the Answer

Step-by-step explanation:

, (x -12)° + (5x-27)° + (2x + 3)° = 180°

or,  8x° -36° = 180°

Or x =

So, x = 27°

∴ ∠P = 27° -12°  = 15°

 ∠q = (5 × 27)° -27° = 108°

 ∠r = (2 × 27)° + 3° = 57°

1. Find 10% of 20 1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.

Answers

10% of 12 is 1.2 and 10% of 20.1 is 2.01

Answer:

10% of 12 = 0.1 * 12 = 1.2

10% of 20 = 0.1 * 20 = 2

write the linear equation below in the function notation

y=2x-5

Answers

Answer:

f ( x ) = 2 x + 5

Step-by-step explanation:

Function notation is a system of representing functions.

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
y = 3x − 14
C.
y = 3x − 4
D.
y = 3x + 12

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. y=3x+4

Step-by-step explanation:

(y+5)=3(x+3)

y+5=3x+9

y=3x+9-5

y=3x+4

HELP PLEASE 40 POINTS!!​

Answers

Answer:

The answer for 3 is 6 I belive

Step-by-step explanation:

all the rest is easy but you cut 1. off and Im lazy rn

The answer should be 6 correct me if I’m wrong

The product of 4 ​, and a number increased by 7 ​, is -36.

Answers

Answer:

your awnser should be. 4(x + 7 ) = -36

About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks.

The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.

How many mold spores are in the garden today?
A.
1,593
B.
354
C.
387,099
D.
531

Answers

Answer:

D. 531

Step-by-step explanation:

Cupid's arrow travels 45 meters in 5
seconds. What is the speed of the
flying arrow?

Answers

Answer:9

Step-by-step explanation:

45/5 =9

s=d/t

The speed of the flying arrow will be 9 meters/second.

What is the relation between speed and distance?

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance/time.

We are given that Cupid's arrow travels 45 meters in 5 seconds.

Therefore, distance = 45 meters

Time=  5 seconds.

Thus, speed = distance/time

Speed = 45/5

Speed  =9

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What is 100343242 times 7863239792

Answers

Answer: 7.8902297e+17

Step-by-step explanation:

Answer:

7.8902297e+17

Step-by-step explanation:

What is 100343242 x 7863239792= 7.8902297e+17

(hope this helps can i plz have brainlist :D hehe)

كيفية حساب cos a و tan a بحيث sin a يساوي 1على 2

Answers

Answer:

uh i dont know

Step-by-step explanation:

any musical recommendations?

Answers

Hairspray is a good one

Answer:

Hamilton, Dear Evan Hansen, Grease and S H R E K

Step-by-step explanation:

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