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?

Answers

Answer 1
Answer: the graph of the function is positive on ( -infinity, -7)

Reason: f(-8)= 840,000a
840,000a is a positive number
Answer 2

Answer:

The graph of the function is positive on (-∞ –7).

Step-by-step explanation:


Related Questions

What's the slope and y-intercept of the equation 3x + 4y = 8?

Answers

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

[tex]3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2[/tex]

Y intercept is 2
Slope is -3/4

A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply. The sphere has a radius of 4 cm. The sphere has a radius of 16 cm. The diameter’s length is twice the length of the radius. The radius’s length is twice the length of the diameter. The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi centimeters cubed. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answers

Answer:

1,2,4

Step-by-step explanation:

Answer: The sphere has a radius of 4 cm.

The diameter’s length is twice the length of the radius

The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Which of the following appear in the diagram below? Check all that apply

Answers

Answer:

I think it A, B, D but I'm not certain

Answer:

The correct answer is A B and C

Step-by-step explanation:

A is going the correct way through the arrows and not in random order like D. B is also going in the correct way and same with C.

Ming is painting a picture. He has 2/3 pint of red paint, 2/8 pint of yellow paint and 2/6 pint of green paint. Which list orders the fractions frommhreatest to leas

Answers

Answer:

2/3,2/6,2/8

Step-by-step explanation:

// * PLEASE ANSWER * // AB is tangent to circle C. Find AC to two decimal places.

Answers

Answer:

19.92

Step-by-step explanation:

To find the length of AC we need to use the Pythagorean theorem: a^2 + b^2 = c^2

a = 6 b = 19

a^2 = 36

b^2 = 361

36 + 361 = 397

c^2 = 397

to find c we take the square root of 397

[tex]\sqrt{397} = 19.9248588452[/tex]

take the first 2 decimals for the answer

Find the 53rd term of the arithmetic sequence

12
,

1
,
10
,
.
.
.
−12,−1,10,...

Answers

Answer:

560

Step-by-step explanation:

Estimate the product of 67 and 73 by rounding each number to the nearest 10 before multiplying. * 4891 140 4900 5000

Answers

Answer:

490 (the estimate)

Step-by-step explanation:

70*70=490

Use the number line and the additive inverse to find the difference. (Negative 3 and one-half) minus (negative 4 and one-fourth) = Negative StartFraction 7 over 2 EndFraction minus (negative StartFraction 17 over 4 EndFraction

Answers

Answer:

EVERYONE IT IS 3/4 lol

Step-by-step explanation:

The difference of the expression (-3 + 1/2) - (-4 + 1/4) is 3/4.

What is Additive Inverse?

Additive inverse in simple terms is meant to add a number with it's opposite sign to get the result as zero.

Mathematically for any number 'a', a + (-a) = 0 implies that -a is the additive inverse of 'a'.

The given expression is, (-3 + 1/2) - (-4 + 1/4).

(-3 + 1/2) - (-4 + 1/4) = [(-3 × 2 + 1) / 2] - [(-4 × 4 + 1) / 4]

                               = (-7/2) - (-17/4)

The additive inverse of (-7/2) is (+7/2).

Adding and subtracting the additive inverse (+7/2),

(-3 + 1/2) - (-4 + 1/4) = (-7/2) - (-17/4) + (7/2) - (7/2)

                               =  (-7/2) + (17/4) + (7/2) - (7/2)

                               = [(-7/2) - (7/2)] + [(17/4) + (7/2)]

                               = (-14/2) + (31/4)

                               = (-28/4) + (31/4)

                               = 3/4

Hence the difference of the expression given is 3/4.

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PLEASE HELP WILL GIVE BRANLIEST!!! Question is above:)

Answers

Answer:

x = 3

Step-by-step explanation:

Rectangle = length*width = 3(x+12) = 3x+36

Triangle = length*width/2 = 2x*5/2 = 5x

Since the rectangle is 3 times the triangle, thjat gives us:

3x+36 = 3(5x) -> 3x + 36 = 15x

Isolate x and solve:

36 = 12x

x = 3

how many oats dose he eats?need help ​

Answers

Answer:

96 pounds. 4x 4= 16 x 2= 32 x 3= 96

Answer:

The answer is 96 lbs.

Step-by-step explanation:

4 horses each eat 4 pounds

4 x4 =16

16 pounds twice a day is 32.

To find the total for 3 days, we simply multiply 32 by 3 and the answer is 96.

I hope this helps you.

n) The mean is 7. Calculate the median
X, X, 2x - 1, 3x + 2, 6x, 8x -1

Answers

Answer:

The median is 10

Step-by-step explanation:

(x + x + 2x-1 + 3x+2 + 6x + 8x-1)/6 = 7

(x + x + 2x-1 + 3x+2 + 6x + 8x-1) = 42

21x = 42

x = 2

3(2)+2 = 8

6(2) = 12

(8+12) / 2 = 10

Given QR I PT and LQPR A ZSTR
Prove: APQR – ATSR
HI

Answers

Answer:

ΔPQR ~ ΔTSR

Step-by-step explanation:

What is the scale factor of ABC to ADEF?

Answers

Answer:

D. 1

Step-by-step explanation:

Which equations might Miguel write? Check all that
apply.

Plz help

Answers

Answer:C, D, And F

Step-by-step explanation:

Please look at the picture and help me

Answers

Answer:

72

Step-by-step explanation:

it is equivalent to the other angle

12(x-6)=2(x-9) plzzz help

Answers

Answer:

x=5.4

Step-by-step explanation:

12x-72=2x-18   distribute

-2x     =-2x        subtract

10x-72= -18

     +72=+72    add

10x=54   divide

x=5.4      simplify

Answer:

Step-by-step explanation:

12(x−6)=2(x−9)

(12)(x)+(12)(−6)=(2)(x)+(2)(−9)(Distribute)

12x+−72=2x+−18

12x−72=2x−18

Step 2: Subtract 2x from both sides.

12x−72−2x=2x−18−2x

10x−72=−18

Step 3: Add 72 to both sides.

10x−72+72=−18+72

10x=54

Step 4: Divide both sides by 10.

10x

10

=

54

10

x=

27

5

Answer:

x=

27

5

In spherical geometry, lines are called
circles.
O A. semi-
OB. closed
O C. great
O D. open​

Answers

A. semi

Step-by-step explanation:

I hope this helps you

Translate the sentence into an inequality.
The product of w and 3 is greater than 15.​

Answers

Answer:

The product of w and 3 is greater than 15.​

(w x 3)> 15

3w>15

Step-by-step explanation:

"Product" signifies multiplication. "of" means w is being multiplied by 3.

Please help number 9
A living room is 19 feet wide. The carpeted portion of the room is 5x feet long and the adjacent 9) tiled portion of the room is 7y feet long. Use the distributive property to find an expression for the
total area of the living room.
A) 95x + 133y square feet B) 24x + 26y square feet C) 228(x + y) square feet D) 95x + 7y square feet

Answers

Answer:

Option A. 95x + 133y square feet.

Step-by-step explanation:

Area of a rectangular room = Length × Width

Length of the room = Length of carpeted portion + Length of the tiled portion

= (5x + 7y) feet

Width of the living room = 19 feet

Area of the living room = (5x + 7y) × 19

                                      = 95x + 133y Square feet [By distributive property]

Therefore, expression for the total area of the living room is option (A).

If the perimeter of a square garden is 84 feet, what is the area of the garden?
А 21 sq ft
B 84 sq ft
С 336 sq ft
D 441 sq ft

Answers

Answer:

D.441

Step-by-step explanation:

All sides of a square are equal. Due to this, the perimeter can be expressed as 4 times the side of the square. Let x be the side of a square.

Then we have:

4x = 84

x = 21

The area of a square is written as x^2, as x is both the length and the width.

So your answer will be:

(21)^2 = 441

The area of the garden is  441 sq ft

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Perimeter of a square =4 x length

84 = 4 x length

divide both sides of the equation by 4

84/4 = length

length = 21 feet

Area of a square = length²

21² =  441 sq ft

For more information on how to determine the area of a square, check : https://brainly.com/question/13227863?referrer=searchResults

Write 5 as a ratio of two integers

Answers

The number 5 is a rational number, so you must be able to express it as a quotient, and you can. Dividing any number by 1 gives you the original number, so to express an integer like 5 as a quotient, you simply write 5/1. The same is true for negative numbers: -5 = -5/1

-5 = -5/1

Step-by-step explanation: I believe it’s this I had it right on my question.

lizzy borrowed $900 at 18% interest for christmas gifts. how much will she owe in total after 3 years?

Answers

Answer:

$1478.73

Step-by-step explanation:

Use the compound amount factor and assume compounding once per year.  Then:

A = $900(1 + 0.18)^3

   =  $1478.73 due after three years.

Answer:

= $1478.73 or = $1478.72

Step-by-step explanation:

Credit companies charge daily but you only mention yearly question so i will show you yearly and monthly and daily as 3 separate methods.

For years

we use the expression a x {(+1) + b} ^t  = 900 x 1.18^3

For months

we use the expressions a x {( +1) +b ^t * 12

We keep to yearly interest

And prove 900 x 1.18^3 = 1478.7288

= $1478.73

Generally, credit companies round down to $1478.72

We work out a yearly rate = 18% interest and divide amount borrowed by 18%

900/18 = 50

then whatever is paid we minus this from the $900 = 900 x 50 = 45,000

50 x 365 = 18,250 owed if no payments were met if agreed to pay monthly but before end of the 3 year contract = meaning if paid at end of month 12- before start of month 13 the 360th day.

Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.
Write a quadratic function equation that describes the height h at time t.
Write this polynomial in standard form. ax2 + bx + c a≠ 0
Find the maximum height.
Be sure to answer the question using the correct units.
Write a quadratic function equation that describes the height h at time t.


h\left(t\right)=-16t^2+v_0t+h_0
h(t)=−16t
2
+v
0

t+h
0


Answers

Answer:

5t² - 16t + h =0

Step-by-step explanation:

During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).

Therefore; using the equation;

S = 1/2gt² + ut

Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.

Thus; h= 1/2(-10)t² + 16t

We get; h = -5t² + 16t

Therefore; the quadratic equation is 5t² - 16t + h =0

Plz, mark me brainlest!!

i will mark brainliest i just need two answers so i could mark one brainliest David surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram

Answers

Answer:

B. line graph

Step-by-step explanation:

Answer:

it is B.line graph

Step-by-step explanation:

you would use this line graph to answer the questions

line graphs are the best solutions for this question

Solve for y in the equation: 3y=9

Answers

Answer:

y=3

Step-by-step explanation:

3y=9

Divide each side by 3

3y/3 = 9/3

y = 3

Answer:

3

Step-by-step explanation:

3y=9

take the 3 and divide it by 9 and you will get 3

And  y=3

I hope this is right

Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...).
0-2EW
DOCR
OWCZ
ORCW
(0.1.2...] SW
DOEZ
??

Answers

Answer4:

Step-by-step explanation:

X;1

Suppose f(x) is a function such that if p f(x) can be odd or even.
f(x) can be odd but cannot be even.
f(x) can be even but cannot be odd.
f(x) cannot be odd or even.

Answers

Answer:

f(x) can be odd or even.

Step-by-step explanation:

The following information is missing in the question:

Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?

With the information given it is not possible to determine if the function is even or odd.

Even functions: f(-x) = f(x). For examle, (-2)² = 2², then x² is even

Odd functions: f(-x) = -f(x). For examle, (-2)³ = -(2³), then x³ is odd

In both cases, x² and x³, if p < q, f(p) < f(q). For example, 1² < 2², and 1³ < 2³

When the factors of a trinomial are (x - p) and (x + q) then the constant term of the trinomial is: A. The product of -p and q B. The sum of -p and q C. The difference of -p and q D. The quotient of -p and q

Answers

Answer:

A

Step-by-step explanation:

(x-p)(x+q) =

X^2+xq-xp-pq

-pq is the constant

h(x) = 1/x+2 and k(x) = 3x - 4

h[k(x)] =

A.(3x - 4)/(x+2)
B. 1/(4x - 2)
C. 1/(3x - 2)

Answers

Answer:

should be b

Step-by-step explanation:

Answer:f(x+2)=3x+2

Step-by-step explanation: See attached photo

In the diagram below, AB is parallel to CD. What is the value of y?
A
60%
BA
D
O A. 30
OB. 60
O C. 120
D. 90

Answers

y = 60 degrees
Because alternate interior angles are congruent

The value of angle y is equal to 60°

What is alternate interior angles?

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.

What is alternate interior angle theorem?

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

According to the question

AB is parallel to CD

and the line intersect AB and CD is transversal line

Therefore ,

∠y , 60° are Alternate Interior Angles  .

Now ,

According to the Alternate Interior Angles Theorem

When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .  

Therefore,  

y = 60°

Hence. The value of angle y is equal to 60°  .

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