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4 years ago

Solve the following equations for ????. Write your answer in set notation.

Mathematics

1 answer:

ddd [48]4 years ago

7 0

Answer:

a. x=7

b. x=4

c. x=5

d. x=4

e. equation b and d have same solution set.

Step-by-step explanation:

3x=21

x=21/3

x=7.

3x+9-5=16

3x+4=16

3x=12

x=12/3

x=4

6x-9-5=16

6x-14=16

6x=30

x=30/6

x=5

6x+18-10=32

6x+8=32

6x=32-8

6x=24

x=24/6

x=4

e. Equation b and d have the same solution set.

The expression on both sides of the equal in the equation d is are twice of the expression in equation b. So, if (right side)=(left side) is true for some values of x, then 2(right side) = 2(left side) will be true for the same values of x.So we can find the solution without finding the solution set of both the equations.

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1. Suppose you invest $1000 at an annual interest rate of 4% compounded continuously. How much will you

BlackZzzverrR [31]

You take the 4% and multiply that by eight then you get 0.32 and you multiply that by 1000 and you get 320.00

4 0

4 years ago

Find the perimeter of a rectangle with length (x-5) and width (3x+1).

Phantasy [73]

Answer:

8x -8 hope this helped

Step-by-step explanation:

3x+1 + 3x + 1= 6x+2

x-5 + x-5 = 2x - 10

6x+2 +2x-10= 8x-8

6 0

3 years ago

Read 2 more answers

The tables show the number of points scored by two basketball teams this season.

masya89 [10]

The answer is, The means differ by only about 0.5, but the standard deviations shows that the hurricanes' number of points is generally closer to the mean.

Step-by-step explanation:

Red hawks and Hurricane in two columns.
Total of both Red hawks and Hurricane 725 and 716.
Mean is the measure of centrality.
Mean = Adding total number of points / by games played.
Formula is Ex/N.
Result mean of Red hawks and Hurricane is 45.31 and 44.75.
The difference between the mean is 0.56 as mentioned.
Standard deviation shows, how much of data is away from mean.
Standard deviation shows the variability of data.
Standard deviation of Red hawks and Hurricane is 8 and 4.
Red hawks is 8 further away from mean.
Hurricane is 4 further away from mean.
Hurricane is closer because they are consistent.

7 0

3 years ago

Using suitable identity evaluate the following : 98^3

stiv31 [10]

941,192

Steps:

$(a-b)^3=a^3-b^3-3a^2b+3ab$

$\begin{gathered} (98)^3=(100-2)^3 \\ (100-2)^{3\text{ }}=(100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ } \\ (100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ = 1,0}00,000\text{ - 3 - 60,000 +1,200} \\ \text{ 1,0}00,000\text{ - 3 - 60,000 +1,200 = 941,192} \end{gathered}$

6 0

1 year ago

Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

8 0

3 years ago