Describe the behavior of the function h around its vertical asymptote at x=-6.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B


Related Questions

PLEASE HELP I NEED THE ANSWER THANK YOU​

Answers

Answer:

B

Step-by-step explanation:

HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent

Answers

Answer:

Grade 7 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Grade 8 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Total -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Conclusions: Everything had the same answer, 33%, 17% , and 50%.

Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y

Answers

The answer to the question is a bc 28 - 16 is 12

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?

Answers

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

State the amplitude and period of f(x) = 3cos9/5t

Answers

Answer:

The amplitude is 3 and the period is 10π/9.

Step-by-step explanation:

The standard cosine function is in the form:

[tex]y=a\cos(b(x-c))+d[/tex]

Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]

We can rewrite this as:

[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]

Therefore, a = 3, b = 9/5, c = 0, and d  = 0.

Hence, our amplitude is |3| = 3.

Our period will be:

[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]

What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.

Answers

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

15/x=10/2
Find x please

Answers

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?

Answers

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30

Answers

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!


A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33

Answers

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

What is the probability?

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.​

Answers

Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3b

3. If 2x +9 32, then x could be
11.5?

Answers

2x+9= 32
2x= 32-9
2x= 23
x= 23:2
x= 11.5

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Help please someone

Answers

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️


What is the area❓ No links or troll answers you’ll be reported

Answers

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?

Answers

90 miles

75/25= 3
so 3*30 = 90

Answer:

90

First, divide: 75/25=3

Last 3x 30= 90

or

  30

x 3

--------

90

What multiplies to 18 and sums up to negative 19

Answers

Answer:

-18 and -1

Step-by-step explanation:

(-18) + (-1) = -19

(-18) × (-1) = 18

which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7​

Answers

Answer:

f( n ) = 7 n - 4

Step-by-step explanation:

Terms : 3,10 , 17, 24, 31

Means this   =  [tex]a_{1}[/tex] = 3

The differences:

d = 10-3=7

our term of the sequence =

f( n ) = 7 n - 4

answer and explain step by step please

Answers

Answer:

m∠6 = 110°

Step-by-step explanation:

∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.

Answer:

11o degree

Step-by-step explanation:

angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.

a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.​

Answers

The park formed like a rectangle so :

Area = length × width

Area = ( 9/10 ) × ( 4/5 )

Area = 9 × 4 / 10 × 5

Area = 9 × 2 × 2 / 5 × 5 × 2

Area = 18 / 25

pls help me solve this

Answers

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?

Answers

Answer:

2.40

Step-by-step explanation:

From the triangle QRS

RQ is the hypotenuse 13

QS is the opposite = 12

SR is the adjacent = 5

According to SOH CAH TOA

tan <R =  opp/adj

Tan <R = qs/sr

Tan <R = 12/5

Tan <R  = 2.40

UHH HELP ME PLS AND I WILL MARK BRAINLIEST

Answers

Answer:

First option: 3619.1 cubic centimetres

Step-by-step explanation:

Use this formula for figure out the volume of a cone:

[tex]V=\pi r^2\frac{h}{3}[/tex]

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

So:

π × 144 × 8 ≈ 3619.1

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

Have a good day :)

What is slope? Describe it and provide an real life example.

Answers

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

help please will be marked as brainliest if correct and first person to respond

Answers

Answer: Unlock code = 76

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

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

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

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

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

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

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

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

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

The unlock code is

E+F+G+H = 2+24+21+29 = 76

76 would be the answer and should be the Code for your assignment or problem you needed help with.

What are the solutions to the system of equations graphed below? Select all
that apply.

Answers

Answer:

A solution to a system of equations is the point(s) where they intersect.  Find the ordered pairs where they intersect and you have your answers.

Step-by-step explanation:

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

Answers

Answer:

(x+7) to the 2nd power + 9

Step-by-step explanation:

a. 4.9
b. 3.7
c. 10.9

Answers

B because the equation

what is the slope of (9,9) and (-11,13) ?

Answers

Answer: The answer is -0.2 or -1/5

-2.0 is the answer or -1/5

4. The table shows a proportional relationship between x and y. For each value of sondy
Y
match it to the correct unit rote
in it's simplest form.
**3 and y27
** and y. 81
* 21 and y 128
x 14 and 84
* 12 and y = 36
* 15 and y 45

Answers

Answer:

21 and y128

Step-by-step explanation:

Answer:

i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D

Step-by-step explanation:

big brain :)

Answer is 5, but i dont know how to solve it ​

Answers

Answer:Extract the formula for the height of a rectangular-based pyramid using your knowledge of algebra. H = V / (L x W) / 3. For instance, V = 60 cubic cm, L = 4 cm and W = 6 cm.

Step-by-step explanation:

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