find the domain of the graphed function

Answer:

x > 3

Step-by-step explanation:

180x > 540

x > 540/180

x > 3

log (x-1)/(x+1) = log 10^3 ; [tex]\frac{x-1}{x+1}[/tex] = 1000; x-1 = (x+1)*1000 ; x-1 = 1000x + 1000 ; 999x = -1001 ; x = -1001/999 ; x ≈ -1

The complete statement is that 6+x is an example of an expression

Expressions are mathematical statements that are represented by variables, coefficients and operators

The parameter is given as

6 + x

The above parameter has the following properties:

Recall that expressions are mathematical statements that are represented by variables, coefficients and operators

Hence, the complete statement is that 6+x is an example of an expression

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Answer:

The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.

Step-by-step explanation:

It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;

=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)

=> 5840 + 0.04b = 0.05b + 3650

=> 0.01b = 2190

=> b = 219,000

=> $219,000

Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.

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Answer:

First Case:

[tex]\displaystyle p=\frac{5}{2}\text{ and } d=-2[/tex]

Second Case:

[tex]\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}[/tex]

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

[tex]6p+2, 4p^2-10, \text{ and } 4p+3[/tex]

Since this is an arithmetic sequence, each subsequent term is d more than the previous term, where d is our common difference.

Therefore, we can write the second term as;

[tex]4p^2-10=(6p+2)+d[/tex]

And, likewise, for the third term:

[tex]4p+3=(6p+2)+2d[/tex]

Let's solve for d for each of the equations.

Subtracting in the first equation yields:

[tex]d=4p^2-6p-12[/tex]

And for the second equation:

[tex]2d=-2p+1[/tex]

To avoid fractions, let's multiply the first equation by 2. Hence:

[tex]2d=8p^2-12p-24[/tex]

Therefore:

[tex]8p^2-12p-24=-2p+1[/tex]

Simplifying yields:

[tex]8p^2-10p-25=0[/tex]

Solve for p. We can factor:

[tex]8p^2+10p-20p-25=0[/tex]

Factor:

[tex]2p(4p+5)-5(4p+5)=0[/tex]

Grouping:

[tex](2p-5)(4p+5)=0[/tex]

Zero Product Property:

[tex]\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}[/tex]

Then, we can use the second equation to solve for d. So:

[tex]2d_1=-2p_1+1[/tex]

Substituting:

[tex]\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}[/tex]

So, for the first case, p is 5/2 and d is -2.

Likewise, for the second case:

[tex]\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}[/tex]

So, for the second case, p is -5/4, and d is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

Answer:

6

Step-by-step explanation:

Since she gave herself 3 pieces of gum, she gave 12 pieces to her friends. She gave 2 pieces to each friends. 12 pieces of gum divided by the 2 pieces given to each friend is 6

The expression 4x < 4 is true, when x is less than 1

The inequality expression is given as

4x < 4

Divide both sides of the inequality by 4

So, we have

4x/4 < 4/4

Evaluate the quotient

x < 1

This means that the expression 4x < 4 is true, when x is less than 1

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Answer:

37

Step-by-step explanation:

180-127=53

180-53-90=37

Answer:

y=6x-8

Step-by-step explanation:

10-4/3-2

m=6/1

y=mx+b

y=6x+b

4=6(2)+b

4=12+b

-8=b

y=6x-8

Answer:

e

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] ( CD - BE ) = 20 ( multiply both sides by 2 )

CD - BE = 40 , substitute values

3x + 10 - 2x - 8 = 40

x + 2 = 40 ( subtract 2 from both sides )

x = 38

Thus

arc CD = 3x + 10 = 3(38) + 10 = 114 + 10 = 124° → e

Answer:

-7/27

Step-by-step explanation:

-14/54

Hope this helped :)

Answer:

X =-9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

–2x +3 = –x + 12

  +x        +x

-x +3 = 12

   -3    -3

 -x = 9

 /-1   /-1

 x = -9

Answer:

ITS A THE FIRST ONE

Step-by-step explanation:

a is the only like term in the expression.

The number of roses that will be less expensive to order from A is 33

In this question, Florist A charges $4.75 per blue rose plus $40 delivery charge and the Florist B charges 5.15 per red pose plus 25$ delivery charge.

If Florist B increases the cost per rose to $5.20, we need to find the number of roses for which it would be less expensive to order from Florist A or Florist B.

Let the total charge be y and the number of rose be x

Florist A : the equation for the total cost would be,

y = 40 + 4.75x                     ---------1

Florist B : the equation for the total cost would be,

y = 25 + 5.2x                       --------2

We solve above equations to find the value of x i .e., to solve for the number of roses.

Equating equation 1 and 2,

40 + 4.75x = 25 + 5.2x

40 - 25 = 5.2x - 4.75x

15 = 0.45x

x = 15/0.45

x = 33.33

x ≈ 33

Therefore, the number of roses that will be less expensive to order from A is 33

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Answer:

0.4

Step-by-step explanation:

8/20 = 0.4

Answer:

1820

Step-by-step explanation:

65 pushups x 28 days

Answer:

Purple y=5/2x - 4

Yellow y=1/5x + 0

Red undefined

Green y = -3/2x - 4

Blue Undefined

Step-by-step explanation:

If a Slope is Vertical, the slope is undefined. I used rise/run for the others.

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

I attached an Image you can visualize it clearly

P.S I ain't that good at drawing though :P

Answer:

2/36 or simplfyed is 1/18

Step-by-step explanation:

Answer:

2/9 ÷ 4 = 2/36

Step-by-step explanation:

2/9 & 4

2/9÷4=?

2/9×1/4

=2/36

So 2/36 is equivalent fraction for 2/9 divided by 4

The set of non negative powers of 10 is given as

  (x | x = 10ⁿ , n = 0,1,2,3....)

Powers of 10 is any integer powers of the number 10. In simple words 10 multiplied by itself several times.

We need to define a set of nonnegative powers of 10 using the given set builder notation .

Powers of 10 is expressed as = 10ⁿ where n = 0,1,2,....

Thus in set builder form we can write

(x | x = 10ⁿ , n = 0,1,2,3....) which states that x is such that (which is denoted as '|' ) x is equal to 10ⁿ where n is equal to 0,1,2,....

Hence the set of non negative powers of 10 is given as

  (x | x = 10ⁿ , n = 0,1,2,3....)

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Answer:

A

Step-by-step explanation:

If each lawn he mows earns him $25, at one lawn mowed he would have $25. At two lawns mowed he would have $50. At three lawns mowed he would have $75. We graph these points to get the graph of answer A.

Answer: Tom is 46 years old and Jerry is 34 years old.

Answer:

katie

Step-by-step explanation:

because 10 is bigger than 8

Answer:

y=0.3x - 7.6

Step-by-step explanation:

line: y=ax+b

a= Δy ÷ Δx

a= (-9 + 7) ÷ (-5 - 2)

a= -2 ÷ -7 = approximately 0.3

y=0.3x + b

Now you can fill in one of the points to find b (or both to make sure you got the answer right).

0.3 × 2 + b = -7

0.6 + b = -7

b = -7 - 0.6 = approximately -7.6

So: an equation of the line that passes through this pair of points is y=0.3x - 7.6

On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.

Answer: $287.50

Step-by-step explanation:

Find out how much each ticket costs: 57.50/3= 19.17

Multiply that by 15: 19.7x15=287.5