A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?
The graph of the function is positive on (2, 4).
The graph of the function is negative on (4, infinity).
The graph of the function is positive on (negative infinity, –7).
The graph of the function is negative on (–7, –1).

Answers

Answer 1

Answer:

C. The graph of the function is positive on (negative infinity, –7).

Step-by-step explanation:

With given conditions we can state:

The graph is positive between (-∞, -7)∪(-7, -1)∪(4, +∞), since it touches -7 and is positive either side of it.The graph is negative between (-1, 2) and (2, 4), since it touches 2 and is negative either side of it.Overall shape is U as leading coefficient is positive and is of even degree.

Comparing with the answer choices, correct choice is C.


Related Questions

simplify root 12 over root 3

Answers

Answer:

4

3

Step-by-step explanation:

pls mark brainliest if possible

Choose the graph that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.

Pls hurry- ill give 100 points.

Answers

C. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1, and 1, negative 2, and is shaded below the line.

Answer:

Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1, and 1, negative 2, and is shaded below the line.

Step-by-step explanation:

help me now right now because i ran out of skips

Answers

Answer:

no question

Step-by-step explanation:

sorry I cant help there's no question

Answer:

Help with what?

Step-by-step explanation:

There is no question.

What is the value of x?

Answers

400 I think but I’m wrong I don’t give answers to stranger gurl xx

Answer:

I think its is 7 cm hope this helped (◡‿◡< 3) .

Step-by-step explanation:

What is the value of x?

Amold uses
fence?
of a tin of paint to cover 1 z m of fence. What is the smallest number of tins he needs to cover 12 m of fence

Answers

12 tins because if he use one tin to cover 1 m of fence he should have to use 12 to cover 12m of fence

F(1)=2, f(n)= f(n-1)+7

Plsss help

Answers

Answer:

6

5

2

3

1

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

20

A right triangle is one that contains a ______ degree angle​

Answers

Answer:

90 degrees

Step-by-step explanation:

......

Answer: 90 degree angle.

Step-by-step explanation: A right triangle must have a right angle.

Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.

They show you their calculations:



Answer the following questions.

What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake

How many containers are needed to store the leftover sugar?

Answers

Answer:

21 containers

Step-by-step explanation:

When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.

The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.

The width of a rectangular parking lot at the meadowlands is 3/8 mile. If the area is 5/8 square mile, what is the length of the parking lot

Answers

let width is x and length is y

x * y = area

=> 3/8 * y = 5/8

=> y = 5/8 ÷ 3/8

=> y = 5/8 * 8/3 = 5/3

the length of the rectangular parking lot is 5/8 mile.

If x = -2, what does y equal if y = x3 + 7?

Answers

Answer:

y=1

Step-by-step explanation:

you plug-2 in for x and then the problem looks like this y=-2(3)+7.

then you follow order of operations and multiply-2 and 3, and you get -6 so the problem now looks like y=-6+7.

you then add -6 and 7 and you get 1. now the problem looks like y=1 and you are finished.

1 trig review please please help

Answers

Answer:

[tex] \sqrt{73} mi[/tex]

A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.

Answers

Step-by-step explanation:

no it does not form a right triangle. 

 

a+b+c = 250

 

1002 + 502 does not equal 1002

nor 1002 + 1002  does not equal 502

 

so therefore the sides are 100, 100, and 50 but these do not make a right triangle

does any one know the Inequality Notation for this [9,∞)

Answers

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

if Ray OC stands on a line AB such that angle AOC = angle COB then s.t angle AOCis equals to 90​

Answers

Answer:

Since ray OC stands on line AB.  

Therefore

∠AOC + ∠COB = 180° (Linear pair of angles)

But ∠AOC = ∠COB (given)

⇒ 2∠AOC = 180°

⇒ ∠AOC = 90

Step-by-step explanation:

I WILL GIVE BRAINIEST, PLEASE HELP

Answers

Answer:

A = (1, 10)

B = (4,10)

C = (4, 14)

D = (1, 16)

Step-by-step explanation:

Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:

P (1, -2) = (1, -10)     Q (4, -2) = (4, - 10)     S (1, -8) = (1, -16)     and R (4, -6) = (4, -14)

Now, we need to rotate this new box into -x, y. So our new points are:

(1, -10) = (-1, 10)     (4, -10) = (-4, 10)     (1, -16) = (-1, 16)     and (4,-14) = (-4, 14)

Now we're reflecting off the y-axis, making our x change. So for our final points:

A(1, 10)   B (4,10)    D(1, 16)    and C(4, 14)

Hope this helps! Please check my math and comment wether this worked or not! :)

Answer:

hi

Step-by-step explanation:

Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.

Answers

Answer:

youngest   17  

middle  19

oldest    21

Step-by-step explanation:

Three sisters have ages that are consecutive odd integers

youngest = x

middle = x + 2

oldest = x + 4

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

The sum of the age of the youngest

x

and three times the age of the oldest

+ 3(x + 4)

is five less than five times the middle sister’s age

= 5(x + 2) - 5

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

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

Distribute

x + 3x + 12 = 5x + 10 - 5

Combine like terms

4x + 12 = 5x - 5

Subtract 4x from both sides

12 = x - 5

Add 5 to both sides

17 = x

youngest   x = 17  

middle     x + 2 = 19

oldest     x + 4 = 21


Consider this function.
h(x) = (x - 2)^2+3

Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4

(Ps: all four answer and larger equal then or smaller equal then

Answers

Answer:

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Step-by-step explanation:

The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3).  If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the  parabolic graph twice.

Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test.  This would also be true for x ≥ 3, x ≥ 4, and so on.  Not so for (a) x < 1.  False for x > -5.  True for x < 3.  True for x > 4.

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

graphically represent
The cuadratic relation

Answers

boberson is after then my mom

simplify the expression below and rewrite it in rational exponent form

Answers

Well its D. 5x^9/10.y^1/3

will mark brainly :)
y=1/2(x-3)^2
y=1/2(x+3)^2
y=2(x-3)^2
y=2(x+3)^2

Answers

Answer:

y = 1/2 (x-3) ^2

Step-by-step explanation:

I hope this helps!

what is the answer, i tried everything but i can’t seem to get the right answer

Answers

Answer:A

Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)

Answer:

A

Step-by-step explanation:

The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.

edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.

If y = ax² + bx + c is the general form of a quadratic function, what is y = a(x - h)² + k? *
a. vertex form
b. general equation
c. point-slope form
d. slope-intercept form

How necessary is the value of a, b and c in transforming quadratic function from general to vertex form? *
a. to find the value of h and k
b. to find the number of roots
c. to determine the degree of the quadratic function
d. to determine the maximum point​

Answers

Step-by-step explanation:

it is the vertex form.

remember, (h, k) is the vertex point.

the vertex being the point of the (quadratic) parabola, where the curve turns around.

depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.

so, the first a. is correct.

and so is the second a., as they play an important role when completing the square and hence finishing the transformation.

Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Step-by-step explanation:

4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²

{Compare with a² + 2ab + b² = (a+ b)²}

                         = (2x + 5)²

                         = (2x +5)*(2x+5)

Side of the square = 2x+ 5

Answer:

Part A is (2x+5)^2. Part B is  (2x+3y)(2x-3y).

Step-by-step explanation:

Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.

Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).

Help please! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is -16(t-2)(t+1)

Step-by-step explanation:

The value of y is directly proportional to x.

Find the constant of proportionality when x = 12 and y = 3.

Answers

Step-by-step explanation:

x=12

y=3

where k is a constant

k=12

=3

cross multiply

3k=x(when x is 12)

where k is a constant

Write an equation of the line in slope-intercept form.



The equation is y=
.

Answers

Answer:

y = x + 2

Step-by-step explanation:

     Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

78 decreased by half a number is 45 Find the number

Answers

78 - 45 = 33
Since it’s half a number you do
33 x 2 = 66
So the answer is 66

Answer:

number is 66

Step-by-step explanation:

let the number be n , then

78 - [tex]\frac{1}{2}[/tex] n = 45 ( subtract 78 from both sides )

- [tex]\frac{1}{2}[/tex] n = - 33 ( multiply both sides by - 2 to clear the fraction )

n = 66

The required number is 66

pls help me I give brainly

Answers

Answer:

B is the answer

Step-by-step explanation:

this is showing 2 being divided by 9 which must give a value less than one, in this case it is .2 repeating

5.3h + 3 = 18.8

A. 2.98
B. 4.11
C. -4.11
D. -2.98​

Answers

Answer:

If you're trying to find h, then the answer is A.

Step-by-step explanation:

5.3 x 2.98 = 15.79, which rounds up to 15.8.

15.8 + 3 = 18.8

Answer:

A. 2.98

Step-by-step explanation:

When you substitute h for the answers shown, you get different numbers.

When you substitute h for 2.98 you are given 15.794

15.794 + 3 is 18.794

Rounding 18.794 to the next tenth is 18.8

Answer: A. 2.98

HELP1!!1!!1!


Solve your word problem using a model. Use complete sentences to describe your model, and interpret the quotient in the context of your word problem. If you wish, you may upload a copy of your model.

Answers

The model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.

Word problem describes real world situations which can be translated into expressions as a model.

For example, if John has 6 apples and John has three friends, how many apples would each of the friend get (x) if he is to share the 6 apples amongst the three of them?

To solve this, we can model the situation as follows:

Let x represent the number of apples each friend would get (quotient).

Thus:

[tex]x = \frac{6}{3}\\\\\mathbf{x = 2}[/tex]

The quotient (x) in this model can be interpreted as the number of apples each of John's friend will get.

Thus, the model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.

Learn more here:

https://brainly.com/question/13818690

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