The following function is continuous at all points in the domain of real numbers. What is the value of n?
f(x)= 2x+2, if x > n
4x, if x [tex]\leq[/tex] n
A. -1
B. 0
C. 1/2
D.1

Answers

Answer 1

Answer:

D. 1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression [tex]f(x)=g(x)[/tex], where [tex]f(x) =2x+2[/tex] and [tex]g(x)=4x[/tex]. So,

[tex]2x+2=4x\\2=4x-2x\\2x=2\\x=1[/tex]

Which means [tex]n=1[/tex], that is, if the n is greater than 1, then the function is defined by [tex]f(x)[/tex], if the n is least or equal than 1, then the functioni is defined by [tex]g(x)[/tex]

Therefore, the right answer is D.

Answer 2

Answer:

1. A, -1

2. D, 1

3. B, It is discontinuous because there is a value a for which f(a) is not defined 4. D, It is discontinuous because there is a value a such that lim f(x) does not exist


Related Questions

Ms. Oliveda bought a grapefruit for .89c and three oranges. The total cost of the fruit was $2.15. How much did each orange cost?

Answers

GRAPEFRUIT: .89c
subtract the grapefruit from the total cost: $2.15-.89c= $1.26
There are 3 oranges so you have to divide $1.26 by 3
Money always on top so: $1.26/3= $0.42

Each orange costs $0.42

What are the values of X for which the denominator is equal to zero for y=x^2+3/x^2+2​

Answers

Answer:

16=x

Step-by-step explanation:

John recently purchased $4,897.00 worth of a stock that is expected to grow in value by 9% each year for the next ten years. Assuming this growth forecast holds, which function will show the value of John's stock in t years?
A.
A(t) = $4,897(1.11)t
B.
A(t) = $4,897(1.09)t
C.
A(t) = 1.09($4,897)t
D.
A(t) = $4,897(1.09)(t)

Answers

Answer:

Step-by-step explanation:

B

Answer:

B

This is true because the value increases from the initial value.

So it is 109%

So you multiply by 1.09

Which of these shapes is congruent to the given shape?

Answers

Answer:

THis man confused yall the answr id D

Step-by-step explanation:

The shape which is congruent to the given shape is shape D.

What are Congruent Figures?

Congruent figures are defined as the figures which are exact copies of each other.

That is, the dimensions and angles are equal.

Here given a shape which is in the shape of a parallelogram.

Options A and C are not congruent figures since they are not even a parallelogram.

Option B is a parallelogram which can be clearly seen that there is more width.

Option E is also not the one since it is smaller in size.

The congruent figure is thus, option D.

Hence the correct option is D.

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The complete question is given below.

a bakery offers a sale price of $2.90 for 3 muffins. What is the price per dozen?


PLEASE ANSWER QUICKLY WITH AN EXPLANATION PLEASE!!! I WILL ALSO VOTE U BRAINLIEST AND GIVE U FIVE STARS AND A THANKS!!!!
THANK YOU IN ADVANCE!!!!

Answers

a dozen is 12, divide by 3 since that’s where the deals at, 12/3 = 4 . multiple 4 times 2.90 and the price is $11.60

Answer: $11.60 per dozen

Step-by-step explanation:

2.90=3 muffins

Multiply both sides by 4

3x4=12 ( a dozen)

2.90x4= 11.60

Hope this helps :)

-1/2x + 1/8 = -1/3x - i/4

Answers

Answer:

x= 4/9

Step-by-step explanation:

-1/(2x) + 1/8 = -1/(3x) - 1/4

-1/(2x)+1(3x)= - 1/4 -1/8

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

- 1/(6x) = - 3/8

-1*8 = -3*6x

8=18x

x= 8/18= 4/9

Check:

-1/(2*4/9) + 1/8 = -1/(3*4/9) - 1/4

- 1(8/9) + 1/8 = - 1/(4/3)-1/4

-9/8+1/8 = - 3/4-1/4

-1 = -1

easy question.. giving brainliest
x/16 = 10/36
x=_

Answers

Answer:

x=40/9

Step-by-step explanation:

[tex] \frac{x}{16} = \frac{10}{36} |first \: you \: cross \: multiply| \\ x(36) = 16(10) |open \: bracket | \\ 36x = 160 |divide \: both \: side \:by \: 36 | \\ \frac{36x}{36} = \frac{160}{36} \\ x = \frac{40}{9} [/tex]

Question 5 (5 points)
Find the upper quartile of the data shown on the box-and-whisker plot below
+
+
10
20
30
40
SO
60
7080
90
42
73
56
31​

Answers

Answer:

The upper quartile is 71.5

Step-by-step explanation:

on the attachment

Answer: 56

Step-by-step explanation:

What’s the best estimate?

Answers

Answer:

A   4

Step-by-step explanation:

the given numbers round off to 11 and 3.  11/3 is a bit less than 4.  Answer A (4) is the best approximation of the answers given.

Answer:

4

Step-by-step explanation:

KFC

first convert it into improper fraction

56/5 divided by 11/4

then do KFC

56/5 times 4/11

224/55

then you divide 224 by 55

which gives you 4

What tone do the underlined phrases help to create

Answers

Answer:

restless and nervous (not sure doe)

Step-by-step explanation:

I did the quiz! <3

Answer:

Restless and Nervous.

Step-by-step explanation:

I did the quiz and got it right.

A polynomial function has a root of 5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If th
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
O The graph of the function is positive on (-0, -5).
O The graph of the function is negative on (-5, 3)!
O The graph of the function is positive on (-0, 1).
O The graph of the function is negative on (3,co).

Answers

Answer:

The graph of the function is negative on (3,0)

Step-by-step explanation:

The limiting behavior of a function describes how a function behaves as x ⇒ ±∞. Its behavior is determined by the degree of a polynomial and the sign of its leading coefficient.

Since the function [f(x)] is an even degree polynomial with negative leading coefficient, then f(x) ⇒ -∞ as x ⇒ ±∞. The graph of the function is negative at the root. Since it has a root of 3, The graph of the function is negative on (3,0)

Answer:

The graph of the function is negative on (3, infinity) The answer is D

Step-by-step explanation:


Find an ordered pair (x, y) that is a solution to the equa
4x - y = 5

Answers

Answer:

(xy) (xy) (1−1) (2 3)

Step-by-step explanation:

Slope 4 intercept is -5 we can rearrange with 4x-y=5

We then work out y= -5+ 4x  and y=4x−5

We know there is a 4 intercept and we are ready in negatives -5

The slope goes up again by 4 after -1

4+-1 = 3 to find y

We find x by plugging in these values 3(-1) = 2

The required solution as ordered pairs to the given equation 4x - y = 5 are (5/4,0) and (0,-5)

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The equation is given in the question

4x - y = 5  ....(i)

We have to determine the ordered pair (x, y) that is a solution to the given equation.

Two that to find are (a,0) and (0,b); these points are/contain the x and y intercepts.

Substitute the point coordinate values for x and y in the equation and solve for the remaining variable.

Substituting into the given equation (i):

(a,0): 4a - 0 = 5 ⇒ a = 5/4 and (a,0) = (5/4,0)

(0,b): 4(0) - b = 5 ⇒ b = -5 and (0,b) = (0,-5)

Therefore, the required solution as ordered pairs to the given equation 4x - y = 5 are (5/4,0) and (0,-5)

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Help !

Will mark as brainliest

Answers

Answer:

a... 6x^8y^5

b.... 4x^5z^8

c.... 12a^9b^7

d.... 6s^6t^3

How many terms are in the expression 2x + 3x + 4 + 2y?

Answers

Answer:

7 terms

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.

Answer:

its 4 terms

the coefficients are numbers combined with the variable and 4 is also a term

In a classroom there are 15 boys and 13 girls. One of the girls Samantha moved away. What percent of the classroom are girls after Samantha moved.

Answers

Answer: 44%

Step-by-step explanation: First, let's add up all the children in the classroom...

15 + 12 = 27

There's 15 boys, therefore have to divide 15 by 27...

15 ÷ 27 = 0.55 x 100 = 55%

Now, let's divided the total amount of girls...

12 ÷ 27 = 0.44 x 100 = 44%

44 + 55 = 99%

The perecent of girls in the classroom are 44%, I hope this helps!

Part A:
A truck delivers 32 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck?
Part B:
The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck?
Write out the equations that represent Part A and Part B.

Answers

The correct answer is a. Please give me brainlest I hope this helps let me know if it’s correct or not okay

Identify the pairs of alternate exterior angles in the given figure:figure in answers.

Answers

Answer:

A) 1 & 7, 2 & 8

Step-by-step explanation:

Solve for x: 3x + 2x + 7 = 32

Answers

Answer:

The answer is x = 5

Step-by-step explanation:

I added similar elements, then I subtracted 7 from both sides, next I divided by 5 both sides, and lastly I got x = 5 as my answer.

3x + 2x = 5x
5x + 7 = 32
5x = 32 - 7
5x = 25
5:5 ~ 25:5 = x = 5
The answer is x = 5
I hope this helps!

HELP WILL NAME BRAINLIEST
The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z2 + 2z square meters. Factor this polynomial to find possible expressions for the length and width of the wall. (Assume the factors are polynomials.)

Answers

Answer:

2z(2z+1)

Step-by-step explanation:

Write the equation for the area and then factor the polynomial to find the possible expression for the length and width.

A = 4z2 + 2z The GCF of 4z2 and 2z is 2z.

= 2z(2z) + 2z(1) Write the terms as products using the GCF as a factor.

= 2z(2z + 1) Use the distributive property to factor out the GCF. Possible expressions for the dimensions of the wall are 2z m and (2z + 1) m.

The requried expression of the length and width is (2z + 1) and 2z.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
As mentioned in the question, the amount of paint needed to cover a wall is proportional to its area.

The wall is rectangular and has an area of 4z² + 2z square meters. According to the question, we have factored this polynomial to find possible expressions for the length and width of the wall.
So,
Area =  4z² + 2z

Takin common 2z
Area = 2z × (2z + 1)

Comparing the above expression with
Area of rectangle = width × length

From comparison,

Length = (2z + 1)
Width = 2z

Thus, the requried expression of the length and width is (2z + 1) and 2z.

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A triangle has one angle that measures 15 degrees, one angle that measures 44 degrees, and one angle that measures 121 degrees.

What kind of triangle is it?
A.
scalene triangle
B.
right triangle
C.
isosceles triangle
D.
equilateral triangle

Answers

Answer:

A. Scalene Triangle

Step-by-step explanation:

On a Scalene Triangle all angles are different.

49 points!!!!
..................................

Answers

Answer:

Tell me if its blurry i can send it to you again

Step-by-step explanation:

Answer:

Yeah just look at the other answer i got that answer also

Step-by-step explanation:

what is 22 1/2 of 45 as a fraction

Answers

Answer:

1012.5

Step-by-step explanation:

Answer:

2025/2 = 1012 1/2

Step-by-step explanation:

Of means multiply

22 1/2 * 45

Change the mixed number to an improper fraction

45/2 * 45

2025/2

We can leave this as an improper fraction or as a mixed number

1012 1/2

Which expression is equivalent to g^5

A. 9 x 5

B. 5 x 5 5 x 5 5 x 5 5 x 5 x 5

C. 9 x 9 x 9 x 9 x 9

D. 9 x 9 x 9 x 9 x 9 x 5 x 5 5 x 5 5 x 5 5 x 5 x 5

Answers

Answer: c

Step-by-step explanation: 9*9*9*9*9

C. 9 x 9 x 9 x 9 x 9 is equivalent to 9⁵

Which expression is equivalent to given espression ?

Exponential form : It is an easier way to write repeated multiplication of a number or variable using base(number or variable) and exponents.

Example : 6⁵ is the exponential form of 6×6×6×6×6 (i.e. 5times)

Here, given expression is 9⁵

So, in this expression, 9 multiplied 5 times, i.e. 9×9×9×9×9

Learn more about exponential form here :

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Simplify the expression.
O.O

Answers

Answer:

x raise to 6/7

Step-by-step explanation:

since the base of both the numbers on the numerator is same,

4/7 + 3/7 = 7/7

so, x raise to 7/7

then since the base is same for the numerator and denominator,

7/7-1/7= 6/7

so x raise to 6/7

A farmer has 20 boxes of eggs
There are 6 eggs in each box
Write as a ratio the number of eggs in two boxes to the total number of eggs
Give your answer in its simplest form

Answers

I guess that is 1:10
Hope ur help !;(

Which inequality represents the graph below?
y ≥ 3
y ≤ 3
y ≤ –3
x ≤ 3

Answers

Answer:

sorry i would have answered it but when i downloaded it ,they said i cant open the file.....do you mind snapping it and posting it

Draw a mapping diagram of the set of ordered pairs.
(2,3) (3,5) (4,1) 5,2)
Whoever helps I will brainliest you

Answers

Answer:

Step-by-step explanation:

Which figure is shown?
prism
pyramid
cylinder
cone

Answers

Answer:

That is a cone.

Step-by-step explanation:

I don't think there will be an explanation needed, but remember a pyramid has to be either triangular or rectangular. A cylinder's two bases should be circles, but in this case there's only one.

Answer:

cone

Step-by-step explanation:

The plotted point represents the depth of a scuba diver
in feet How far beneath the water's surface is the
diver?
-20
it
-21

Answers

Answer: —20.7

Step-by-step explanation: Got it right the assignment

Answer:

-20.7

Step-by-step explanation:

did the assignment and got it right good luck <3

Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (negative 1, 2) and (2, negative 1) are plotted.
On a coordinate plane, points (negative 2, negative 3) and (2, 3) are plotted.
On a coordinate plane, points (negative 2, negative 1) and (2, 3) are plotted.
On a coordinate plane, points (negative 1, 3) and (1, 1) are plotted.

Answers

Step-by-step explanation:

B I gotchu

Answer:

b

Step-by-step explanation:

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