if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then find lim (fg)(x)

a.1
b.0
c.3
d.does not exist

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

5(0)

0

Answer 2

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

What is inequality?

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

=5(0)

=0

Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

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Related Questions

Give three real-world examples of rectangular prisms. Then give two real-world examples of triangular prisms. Explain how you know the object you chose represents a prism.​

Answers

Three real world examples of rectangular prisms include juice boxes, cereal boxes, and even cargo containers. Two real world examples of triangular prisms include camping tents and triangular roofs. I chose these objects to represent triangular and rectangular prisms because triangular prisms have two triangular faces and three rectangular faces and rectangular prisms have six rectangular faces.

Sample Response: Boxes, ice cubes, and brick are examples of rectangular prisms. Ramps and tents are examples of triangular prisms. A rectangular prism has six rectangular faces. A triangular prism has two triangular faces and three rectangular faces.

Sample Response Boxes, ice cubes, and bricks are examples of rectangular prisms. Ramps and tents are examples of triangular prisms.

Three real-world examples of rectangular prisms include juice boxes, cereal boxes, and even cargo containers.

Two real-world examples of triangular prisms include camping tents and triangular roofs.

I chose these objects to represent triangular and rectangular prisms because triangular prisms have two triangular faces and three rectangular faces and rectangular prisms have six rectangular faces.

What is a rectangular prism?

A rectangular prism has six rectangular faces. A triangular prism has two triangular faces and three rectangular faces.

Sample Response Boxes, ice cubes, and bricks are examples of rectangular prisms.

Ramps and tents are examples of triangular prisms.

To learn more about the rectangular prisms visit:

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A bag contains three yellow tickets numbered on to three. The bag also contains four green tickets numbered one to four. What is the probability of randomly picking a ticket that is yellow or has an even number

Answers

Answer:

6/7

Step-by-step explanation:

P(yellow or even) = 3/7 + 3/7  =  6/7

find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly ​

Answers

Answer:

The amount is $1346.86 and the interest is $346.86.

Step-by-step explanation:

To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]

So, P =  $1000, r = 6$, n = 4 and B = 5 years

After plugging it in you get,

                                                  A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵

                                                  A = 1000 x 1.015^20

                                                  A = 1000 x 1.346855

                                                  A = 1346.86

To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:

                                                  1346.86 = 1000 + I

                                                  I = 1346.86 - 1000

                                                  I = 346.86

Then you're finished! Hope this helped!

Brainliest would be appreciated! :)

Which of the following is an equivalent expression to x2 + 6x +11?

Answers

Answer:

Step-by-step explanation:

(x + 3)^2 + 2

= [tex]x^2+6x+9+2 = x^2+6x+11[/tex]

If a rectangle has an area of 48 cm², what would be the area of a similar rectangle if
the dimensions are doubled?
A) 2304 cm^2
B) 192 cm^2
C)96 cm^2
D)216 cm^2

Answers

Answer is
B)192cm^2
Step by step exploration

3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.

Answers

Answer:

D) There are two pairs of opposite parallel sides.

Step-by-step explanation:

A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.

the answer is d there are two pairs of opposite parallel sides

A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
skittles. If one skittle is drawn at random, what is the

P( purple | color name with six letters )

Answers

Answer:   D) 1/3

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

Explanation:

The vertical bar is a shorthand way of saying "Given".

Writing P(A | B) means "probability of A given B"

In this case, we are given that "color name with six letters", so we are 100% certain that whatever was picked has six letters in the color name. That rules out green (5 letters) and red (3 letters). We'll ignore these colors entirely.

Instead we focus on yellow, orange, and purple.

Add up the frequencies for these colors to get: 18 yellow + 10 orange + 14 purple = 42 total

Of that total, there are 14 purple, so....

14/42 = (1*14)/(3*14) = 1/3

represents the probability we're after.

There's a 1 in 3 chance of getting a purple skittle if we are told, or we know 100%, that whatever color we picked has 6 letters in the name.

Side note: 1/3 = 0.333 = 33.3% approximately.

1/3 for people who don’t want to read all of that

6 - 3a=21 whats the answer to that i have a hard time thinking about it.

Answers

Answer:

[tex]a = - 5[/tex]

Step-by-step explanation:

[tex]6 - 3a = 21 \\ - 3a = 21 - 6 \\ - 3a = 15 \\ \frac{ - 3a}{ - 3} = \frac{15}{ - 3} \\ a = - 5[/tex]

Hope this helps you.

Can I have the brainliest please?

Answer:

a = -5

Step-by-step explanation:

When you're solving a question like this, your aim is to get the unknown (in this case 'a') by itself on one side of the equation. You do this by adding/subtracting/multiplying/dividing, whatever is necessary for the question. Note that if you do something to one side of the equation, you must do the same to the other.

6-3a=21

First let's get rid of the 6: subtract 6 from both sides.

6-6-3a=21-6

-3a=15

Now let's get rid of the -3: divide both sides by -3.

-3a=15

-3a/-3 = 15/-3

a= -5

. Suppose that the average score in a statistics test is 84 with a standard deviation

of 4. According to Tchebysheff’s theorem, what percentage of the students have

a grade of at least 72 and at most 96?​

Answers

Answer:

96

Step-by-step explanation:

ahhh helppp i’m almost done with this

Answers

Answer:41 m

Step-by-step explanation:

Lets use the Pythagoras thermos to solve

40^2+9^2=c^2

1600+81=c^2

1681=c^2

41=c

The value of the hypotenuse is 41

I see you already attempted this question and got it right, Good job!

Answer:

41

Step-by-step explanation:

Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve for the unknown,

[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]

podstaw graniastosupa prostego jest rownoleglowbok ktorego boki maja dlugosci 4cm i 6 cm a miara jednego z katow wynosi 30 stopni oblicz objetosc tego graniostoslupa przy zalozeniu ze jego pole powierzchni cakowitej jest rowne 72 cm kwadratowe

Answers

Answer:

which language is it

Step-by-step explanation:

can you please put it in English

what type of triangle is this​

Answers

Answer:

acute scalene triangles

Step-by-step explanation:

WILL SOMEONE PLEASE ANSWER THE MATH QUESTIONS I HAVE POSTED IF I GET ONE MORE FILE IM GONNA OFF MYSELF

Answers

I WILL Post IT !! I got UU

add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]

Answers

Answer:

Step-by-step explanation:

19/4 + 29/5

2.75 + 5.8

= 8.55

Antibiotics in Infancy
Exercise 2.19 describes a Canadian longitudinal study that examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included 616 children and found that 438 of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than 70% of Canadian children receive antibiotics during the first year of life.
(a) State the null and alternative hypotheses
(b) Calculate the z-statistic.
(c) Find the p-value.
(d) Make a generic conclusion about the null hypothesis, using α = 0.05
(e) Make a conclusion in context.

Answers

Answer:

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

Step-by-step explanation:

The proportion we will use for the test is  p  = 70 %

From a random sample we got

n  =  616

x = 438      then   p₁ = 438/616     p₁  =  0,71    p₁  = 71 %

Then  q₁  =  1 - p₁      q₁  = 1 - 0,71    q₁ = 0,29   q₁ = 29 %

a) Hypothesis test:

Null hypothesis                      H₀           p₁   = p

Alternative hypothesis          Hₐ           p₁  > p >70 %

CI = 95 % significance level    α  = 5 %   α = 0,05

z(c) for  α  =  0,05   from z-table is    z(c)  = 1,64

b) To calculate  z(s)  =  ( p₁  -  p ) / √ p₁*q₁ / n

z(s) = ( 0,71  -  0,70 )/ √ 0,71*0,29/616

z(s) = 0,01 /0,01828

z(s) = 0,547 ≈ 0,55

c) p-value for   z(s) is from z-table   p-value ≈ 0,7088

d) p-value > 0,05   then we accept H₀  we don´t have enough evidence to reject H₀

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

NO LINKS PLEASE
What is the missing number

Answers

Isn’t it just 1 bc in y=Mx+b, b= the y intercept

Answer:

1

Step-by-step explanation:

To find this, you simply need input points.

The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.

The negative integers greater than or equal to -12

Answers

Negative integers can be determined or as seen as greater than any number like -2 or - any number above negative twelve
Following numbers are greater than or equal to -12:
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
And so on..................

Helpp I’m begging ty

Answers

Answer:

40

Step-by-step explanation:

i asked siri

Find the value of x to the nearest tenth.

7.8

4.7

8.4

5.2

“No scam Links, if you send me a link K¡ll Y0URSELF PLS”

Answers

5.2 I believe because It has the radius in the right angle of the bottom

Answer:

this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts

Step-by-step explanation:

Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45

Answers

Answer:

x5

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

EDGE 2023

Find the surface area of the pyramid. The triangular base has a height of 8 units and a base of 12 units. What is the base area? What is the lateral area? What is the surface area?

Answers

Answer:

Base area is 48 lateral is 221.6 and surface area is 269.6

Step-by-step explanation:

Answer:

Base area is 48 lateral is 221.6 and surface area is 269.6

Step-by-step explanation:

Is 118.5 bigger than 79?

Answers

Answer:

yes

Step-by-step explanation:

Yes
You can verify this by subtracting
118.5 - 79 = 39.5
You got a positive number as a result
118.5 is 39.5 more than 79

Scott wants to ride his all terrain vehicle on a trail that is 30 miles long. If Scott rides at a constant rate of 15 mph, how long will it take him to ride the whole trail?
A. 2 hr.
B. 3 hr.
C. 5 hr.
D. 8 hr.

Answers

Answer:

3hr

Step-by-step explanation:

Answer:

2 hrs.

Step-by-step explanation:

30 miles of 15 mph.

(of means divided)

30 divided by 15 = 2 (hrs)

I need help and if I can I will give brainilest

Answers

Answer:

8000

Step-by-step explanation:

Total number of homes in given data is 7+33+56+42+12 = 150

Now out of 150 there is 12 homes who have 4 or more phones

Let's set up proportions

150 / 12 = 100,000 / X

x=100000×12 /150

X=8000

If x=4–5i and y=-4– 7i,what is y-x?

Answers

Answer:

I'd do (-4-7i)-(4-5i)=-8-2i

Pleasssssssssssssssssssssssse help ASAP

Answers

Answer:

Yellow = 18 spools of ribbon

Blue = 15 spools of ribbon

Bobby will have 3 more spools of yellow ribbon.

20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!

Answers

Answer:

d i think

Step-by-step explanation:

Write an expression for the following. "The sum of a number and 12 times 4

Answers

Answer:

4(x + 12)

Step-by-step explanation:

The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.

what is:

k/5 + 2.5 = .5?​

Answers

Answer:

k = -10

Step-by-step explanation:

k/5 + 2.5 = 0.5

k/5 = -2

k = -10

K = -10

-10 / 5 = -2

-2 plus 2.5 = .5

I like healthy foods that have a high percentage of my daily vitamins. I bought a bag of apples. There are still six apples left That's 75% of the apples. How many apples did I have to begin with?​

Answers

Answer:

8 apples to begin with.

Step-by-step explanation:

First, we know that 75% is 3/4 of 100%

If 3/4 = 6 apples then we need to divide each side by three to get 1/4.

So 1/4 = 2

Now, we multiply each side by 4 to get 4/4

So 4/4(100%) = 8

8 apples is the answer

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