5) Using limits, describe a function that has a removable discontinuity at x = 5.​

Step-by-step explanation:

Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

Answer:

b

Step-by-step explanation:

The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 30 )

Let the second point be Q ( 8 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = amount of money Janet earns per hour

So , slope m = ( 60 - 30 ) / ( 8 - 4 )

On simplifying , we get

The amount of money Janet earns per hour = 30/4

The amount of money Janet earns per hour = $ 7.50

Hence , the amount of money Janet earns = slope = $ 7.50

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The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]

Answer:

6/1

Step-by-step explanation:

 I believe it is   9(7-b)

Answer:

x=(y+2b)/3m

Step-by-step explanation:

y+2b=3mx

(y+2b)/3m=x

Answer:

14

Step-by-step explanation:

because they are just reflected  that's why 12 and 8 are flipped and have a great day

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

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Answer:

Assuming that the question is  

[tex]f(x)=\frac{3}{5x^5}[/tex]

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

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Answer:

480

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It would be classified as an isosceles triangle.

Hope this helps!

Answer:

63

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.

Then we know

[tex]\rm AM = MB \\\\NC = ND[/tex]

Then we have

[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]

Similarly, we have

[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]

NC = ND = 3 cm

AM = MB = 3 cm

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

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Answer:

[tex]a.\ \dfrac{3}{5}[/tex]

Step-by-step explanation:

We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.

It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].

Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.

Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]

a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]

Alternatively, we could have directly divided the given fractions:

[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]

The fraction of the butter that she should have used did Susan actually use is :

Fractions =5/4 and 3/4 of cups.

Denominator = 4 i.e. the fraction 1/4

Let us suppose,

A unit is equal to 1/4 of a cup.

Susan was supposed to use 5/4 of a cup.

5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

Fraction of butter used=unit of butter used/unit of butter                        

                                                                 that was supposed to      

                                                                         be use

                                        =3/4/5/4

                                        =3/5

The fraction of the butter that she should have been used is 3/5.

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- 4.(6)

Hi there !

- 4  2/3 =

= - 4  6/9

= - 4.(6)

Good luck !

Answer:

5(2c+5)

I hope this helps

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

Answer:

(xy) ^ (-1)

Step-by-step explanation:

Good luck!!

Answer:

The Discriminant is 25

Step-by-step explanation:

For this case, the discriminant will be given by

b ^ 2 - 4 * a * c

Where

b = 7

a = 3

c = 2

substituting

b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25

Therefore the value of the discriminant is 25.

How many x-intercepts does this function have?

It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,

3x2 + 7x + 2 = 0

The results will be the interceptions with x.

What are the number of zeros for this function?

The number of zeros for this function is

two real number solutions

Because it is a quadratic function.

Step-by-step explanation:

-2(3x-12)+4-13

=-6x+24+4-13=-7x-15

=6x-15

4(5x-1)+8x-20=20x-4+8x-20

=28x-24

So this is ur solution.

But if u wnt to solve these eq. together thn it will be:-

6x-15=28x-24

6x-28x=-24+15

-22x=-9

x=22/9=2.44

Hope u like it.

Answer:

-8+9 is problem one

Step-by-st-ep explanation:

Answer:

(-15)

Step-by-step explanation:

10-25 = (-15)

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Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

Answer:

99%

Step-by-step explanation:

25% of 132 is 33 so 132-33 is $99

Answer: 99

Step-by-step explanation:

turn 25% into a decimal which is .25 and multiply it by 132 to get 33. Thats how much 25% of 132 is so you subtract it to get how much it costs with the sale price.

Step-by-step explanation:

I think 12.5 is the answer