Select the correct answer. Which number is a zero of h(x) = (x2 − 81)(x + 4)
A. 0
B. 4
C. 9
D. 81

Answers

Answer 1

Answer:

9 is a zero of h(x). C. Correct

Step-by-step explanation:

We want to find the zeros of the function

[tex]h(x) = (x^2 - 81)(x + 4)[/tex]

The zeros are the values of x that make h(x)=0, thus we need to solve the equation:

[tex](x^2- 81)(x + 4)=0[/tex]

Factoring:

[tex](x^2 - 81)=(x-9)(x+9)[/tex]

[tex](x-9)(x+9)(x + 4)=0[/tex]

This equation has 3 solutions:

x=9, x=-9, x=-4

A. 0 is not a zero of h(x). Incorrect

B. 4 is not a zero of h(x). Incorrect

C. 9 is one of the zeros of h(x) calculated above. Correct

D. 81 is not a zero of h(x). Incorrect

Answer 2

Answer:

C) 9

Step-by-step explanation:

I had this question on a recent test and I got it right

I hope this helps! :)


Related Questions

Which expression correctly represents “six more than the product of five and a number, decreased by one”?
6 + 5 n minus 1
6 + 5 + n minus 1
6 + 5 (n minus 1)
(6 + 5) n minus 1

Answers

C. 6+5(n-1) correctly represents

Answer:

its b

Step-by-step explanation:

Kari wants to measure the height of a tree. She walks exactly 90 feet away from the base of the tree and looks up to the top of it. The angle from the ground to the top of the tree is 32 degrees. This particular tree grows at an angle of 85 degrees with respect to the ground rather than vertically. How tall is the tree to the nearest tenth of a foot? Enter a number answer only.

Answers

Answer:

this is a Sin(), Cos() and Tan()  function  problem.   use the Mnemonic  (new-monic)  SOH CAH TOA  (soo caw tow ah ) to remember which function  sin() cos()  or tan() to use.. :) these types of problems are pretty confusing, Use that Mnemonic to keep the functions in order

Step-by-step explanation:

since we know the distance to the tree.. and we know the angle and we have a formula  TOA to figure out the one pieces of info we don't know ...  use TOA  that tells us our formula..  TOA(Ф)=Opp /  Adj     where  Tan(Ф) is using Ф= to our angle of 32 degrees ( remember Ф can be in degrees or radians, its in degrees for this problem) Adj = the Adjacent side of the triangle from the known angle.. the 32 degree angle ,  Opp = the Opposite side of the triangle formed by the imaginary lines from Kari to the base of the tree and from Kari to the top of the tree..   and then the tree , from it's base to it's top... we know the angle and the Adj side of that triangle so we can figure out that last part of TOA  by saying  Tan(Ф)=Opp/ Adj .... or say  Tan(32)= Opp / Adj    ⇒ Tan(32)=Opp / 90 ⇒ Tan(32) *90 = Opp   this will be the height from the ground to the top of the tree..  but.. the tree is at an angle , keep in mind... sooo  Tan(32)*90=56.238 feet  now take the new triangle that we know one side to... from the ground to the height of the tree..  in a vertical line from the ground to a point at 56.238 feet .. that is the Adj side of this new triangle.. the tree is on the Hypotenuse of this new trialge,  which we want to find. we know the Adj side we know the angle to find the Hypotenuse use CAH , from our Mnemonic at the top,  the Mnemonic is really important b/c keeping track of which part goes where in the triangles is pretty confusing.  Cos(5)=Adj / Hyp  ⇒ Cos(5)=56.238 / Hyp ⇒56.238 / Cos(5)= Hyp   = 56.453 feet  :)  that's how tall that tree is , lets chop it down :P and blame it on George Washington  :P  The tree, to the nearest 10th of a foot, is 56.5 feet

Write the number four hundred thirty-eight million,eight hundred thousand is standard form

Answers

438,800,000

Standard form is numbers

Answer:

438,800,000

Step-by-step explanation:

The number 438 million comes first, so put 438 and then a comma.

The number 800 thousand is next, so put 800 and then a comma.

There is no number for the hundreds, tens, and ones place, so put 000 with no comma after, like this.

438,800,000

1/3j =9

A.)27
B.)9
C.)3
D.)4

Answers

The answer is B.)9 the answer is B.)9

h(t) = (t + 3) + 5
What is the average rate of change of h over the interval -5

Answers

3 would be the answer i’m pretty sure

a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.
Assume parameter a = 1.
I
b. Then rewrite the equations in standard form (y = ax + bx + c).
Hint: multiply out your answer from part a.

Answers

Answer:

y=-(x+3)^2

y=-x^2-6x-9

Step-by-step explanation:

i uh hope this is correct

hope thia helps <3

1. Add 4.2 to both sides.

2. Divide both sides by -3.

Answers

you should share a picture of the problem so it can be solved. Because we need to know what we’re adding 4.2 to on both sides

What is the solution to the system of equations graphed below?

Answers

Answer: C.  (1,4)

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

The graphs cross at this point. Intersection points are solutions to systems of equations.

Put another way, (1,4) is on the blue line and on the red line simultaneously.

A point on the red line is a solution to the red equation. A point on the blue line is a solution to the blue equation.

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

Checking the answer:

y = x+3

4 = 1+3 ... plug in x = 1 and y = 4 into the blue equation

4 = 4 .... solution works for the blue equation

y = 3x+1

4 = 3(1)+1 ... plug in x = 1 and y = 4 into the red equation

4 = 3+1

4 = 4 ... solution also works for the red equation

This fully confirms the solution

8=2+3d u got to get d. i need this asap

Answers

Answer:

d = 2

Step-by-step explanation:

8 - 2 = 6

6 / 3 = 2

plz mark brainliest

Answer:

d=2

Step-by-step explanation:

Switch the left and right sides

2+3d=8

Rearrange the expression

3d+2=8

Separate the constants and variables

3d=8−2

Add or subtract the numbers

3d=6

divide both sides by 3

3d/3=6/3

d=2

hope it helps :)

Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2,-1,-3.

help​

Answers

Answer:

y = (x - 2)(x + 1)(x + 3)

Step-by-step explanation:

horizontal intercepts at x = 2, -1, -3

->  y = 0 when x = 2, x = -1, and x = -3

Think x minus what equals y?

1. y is 0 and x is 2 -> 0 = (2 - 2) -> y = (x - 2)

2. y is 0 and x is -1 -> 0 = (-1 - (-1)) -> y = (x + 1)

3. y is 0 and x is -3 -> 0 = (-3 - (-3)) -> y = (x - 3)

so the equation is y = (x - 2)(x + 1)(x + 3)

since y = 0 when x = 2, x = -1, and x = -3

We want to find a polynomial given that we know its roots.

We will get:

p(x) = x^3 + 2*x^2 - 5*x - 6

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

A polynomial with the roots {x₁, x₂, ..., xₙ} and a leading coefficient A, we can write it as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Here we know that the roots (horizontal intercepts) are {2, -1 , -3} but we do not know the leading coefficient, so we will use A = 1.

Then the polynomial is:

p(x) = (x - 2)*(x + 1)*(x + 3)

Expanding that we get:

p(x) = (x^2 - x - 2)*(x + 3)

p(x) = x^3 + 2*x^2 - 5*x - 6

This is a possible equation for the polynomial with the given horizontal intercepts.

If you want to learn more, you can read:

https://brainly.com/question/11536910

The answer to a multiplication problem
5 x 2 = 10
Sum
Difference
Product
Quotient​

Answers

Answer:

Product

Step-by-step explanation:

1 dm² ÷ 1 cm² = ?
How much is it?

- Thanks ​

Answers

Please Comment the input information ! Then I’ll help you :)

Find the quotient.
5,400 / 90

Answers

Answer:

5,400 ÷ 90 = 60

Step-by-step explanation:

hope it helps!

The answer is 60 you just need to divide

Which of the following BEST describes how use of the multiplication property of equality to isolate the variable x below?

–3x = 12

Answers

Answer:

multiply both sides of the equation by -1/3

Step-by-step explanation:

multiplication property of equality says we can multiply both sides of the equation by the same amount to form an equivalent equation

The fraction 4/10 can be written as what

Answers

.40 or 40%. The fraction 4/10 is equal to 40/100.

Answer:

In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.

Step-by-step explanation:

4.) solve for f(g(2))

Answers

Answer:

[tex]f(g(2))=10[/tex]

Step-by-step explanation:

We have the two functions: [tex]f(x)=3x-5[/tex] and [tex]g(x)=2+\frac{6}{x}[/tex].

We want to find [tex]f(g(2))[/tex].

So, let's use the second function to find [tex]g(2)[/tex] first:

[tex]g(2)=2+\frac{6}{2}[/tex]

Divide:

[tex]g(2)=2+3[/tex]

Add:

[tex]g(2)=5[/tex]

Therefore, our expression is the same to [tex]f(g(2))=f(5)[/tex].

Now, we can substitute 5 for f(x). This yields:

[tex]f(5)=3(5)-5[/tex]

Multiply:

[tex]f(5)=15-5[/tex]

Subtract:

[tex]f(5)=10[/tex]

So:

[tex]f(g(2))=10[/tex]

And we're done!

Six more than the product of eight and a number X .right as an expression

Answers

Answer:

2x + 8

Step-by-step explanation:

Let x be that number:

2x + 8

estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number​

Answers

3 3/7 x 1 3/4

24/7 x 3/4

6/7 x 3

=18/7

Or 2 4/7

Solve.
|x + 7] +6 = 32

Answers

Answer:

x=19

Step-by-step explanation:

x+7+6=32

x+6=25

x=19

Translate the sentence into an inequality

A number X increased by 5 is less than -17

Answers

X + 5 < -17

Hope this helps!

Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.

Answers

Answer:

Miranda can bake 30 cookies with 6 scoops of flour.

Step-by-step explanation:

The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1

Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.

She can bake 30 cookies with 6 scoops of flour because the unit rate is 5 cookies per scoop of flower so 5:1

PLEASE HELP Use this graph to answer the questions

Answers

Answer:

a. the domain is 1 ≤ x ≤ 6

b. the cost of 4 sandwhiches is $8

Step-by-step explanation:

A. The domain is all of the possible x values (the range is all of the y values)

B. By finding the x value of 4 you can then trace it up until it intersects with the slope or your data points. Then you look left and see which y-value is associated with the x-value.

I hope this was helpful! Good Luck!

round 49,815,662 to the nearest hundred thousand

Answers

Answer:

49,800,000 is the answer

Answer:

50,000,000

Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.

One hundred minus
six times x is equal to
twenty-seven
What is algebraic expression?

Answers

Answer:

100 - 6x = 27

Step-by-step explanation:

Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Fast please i need it asap thanks

Answers

Answer:

45 pages

Step-by-step explanation:

The unit rate is  the number of pages divided by the unit of time

10 pages /2 hours

5 pages per hour

To find the total number of pages of notes take, multiply the unit rate by the total amount of time

We have 9 hours

5 pages per hour * 9 hours

45 pages

Answer:

take x to be the no. of pages for 9 hours

10 pages                      2 hours

x pages                         9 hours

Cross multiplication:

90 = 2x

x = 90/2

x = 45

Lara will cmplte 45 pages in 9 hours.

can you please help with geometry? to solve for x.​

Answers

Answer:

Solve for x means find the value of x that would make the equation you see true. Think about this equation: x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. ... That's what solving an equation is all about!

Step-by-step explanation:

Can someone send the answers to these

Answers

Answer:

1) 2 square root 17  

2) 3 square root 10

3) 3 square root 15

Step-by-step explanation:

your welcome :) my apologies, I could not write the square root symbol.

How many millimeters are in 90 ounces?

Answers

Answer:2661615

Step-by-step explanation:

29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615

hope this helps

Answer:

you used two different types of things ounces measure mass and millimeters measure length

but I used google and it said 2.662e+6

Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Please help!

Answers

Answer: A

Step-by-step explanation:

Car B was 10 miles east of car A.

What is speed?

The rate of change of position of an object in any direction is called speed.

What is the relation between speed, distance and time?

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

Speed of car A was 60 miles/hour.

⇒ After 2hours the distance covered by car A = 60 × 2 = 120 miles.

But it is given that car travelled total 130 miles.

So, the extra distance covered by the car = 130 - 120 = 10 miles.

From the graph we can say that the distance.

At, Time = 0

The distance travelled by car B is 20 miles.

Now, the extra distance covered by the car A w.r.t B = 20 - 10 = 10 miles

Since, both the cars were travelling in east direction.

Therefore, Car B was 10 miles east of car A.

 

Find out more information about speed distance and time here:

https://brainly.com/question/4978052

#SPJ2

HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,
brown hair, or both.
*picture*
Determine whether each inequalities must be true. Explain your reasoning.
(Choices in photos)

Answers

Answer:

a. true; the # brown hair is either greater than or equal to the # of brown eyes

b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal

c. true; the # of brown hair can only be greater than the # of both brown hair & eyes

d. false; the # of brown hair + 10 can only be greater then the # of both, not equal

e. true; the # of brown hair can only be greater then the # of both brown hair & eyes

f. true; the # of brown hair + 10 can only be greater then the # of both

Step-by-step explanation:

hope this helped you out

Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.

Size of brown hair = H

Size of brown eyes = E

Size of those who have both = X

From the Venn diagram given ; we can deduce that H = E

Evaluating the inequalities :

H ≥ E is True because H = E

H ≥ X is True because proportion of H is more than X

H > X is True because proportion of H is more than X

H + 10 ≥ E is must not always be True because H = E ; adding 10 more to H will make H more than E always.

H + 10 ≥ X is False because proportion of H is more than X, adding 10 more to H, the proportion gets bigger

H + 10 > X is True because proportion of H is more than X

Therefore, only the inequalities A, C, E and F must always be true.

Learn more : https://brainly.com/question/12570490

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