1.) Angle 1 and angle 2 are complementary. If the measure of angle 1 is (8x - 6) and the measure of angle 2 is (14 + 8), find the value of x and the measure of angle 1.

Answer:  The equation: x=-6

Step-by-step explanation: Use desmos for graphing equations

Answer:

49.5

Step-by-step explanation:

11 times 3 is 33 so if you take 33 times 1.5 it is 49.5

Answer:

Step-by-step explanation:

Y=3(x-1)^2 -12

Answer:c

Step-by-step explanation:

The equation of the perpendicular line is [tex]y = -\frac 12x + 1[/tex]

The points are given as:

[tex]F = (4,9)[/tex]

[tex]G = (1,3)[/tex]

Start by calculating the slope (m) of line FG as follows:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute values for x's and y's.

So, we have:

[tex]m = \frac{9 -3}{4 - 1}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m =2[/tex]

The equation of the line is said to be perpendicular to line FG.

So, the slope of the line is:

[tex]m_2 = -\frac 1m[/tex]

This is then calculated as:

[tex]m_2 = -\frac 12[/tex]

The line is said to pass through point (2,0).

So, the equation of the line is:

[tex]y = m_2(x - x_1) +y_1[/tex]

This gives

[tex]y = -\frac 12(x - 2) +0[/tex]

Expand

[tex]y = -\frac 12x + 1 +0[/tex]

[tex]y = -\frac 12x + 1[/tex]

Hence, the equation of the line is [tex]y = -\frac 12x + 1[/tex]

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Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Answer:

Original Plant was 1cm and it grew 2.5 cm per week.

Step-by-step explanation:

Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.

18.5cm-8.5cm/7-3

10cm/4

2.5 cm per week.

The original height of the plant were 1 cm and raised at rate of 2.5 cm per week.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

In 3rd week, plant height = 8.5 cm

In seventh week= 18.5 cm

So, the height in-between 4 weeks = 18.5 - 8.5 = 10

then, the height raised in one week = 10/4 = 2.25 cm

Thus, the original height of the plant were 1 cm and raised at rate of 2.5 cm per week.

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Answer:

$0.30

Step-by-step explanation:

If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30

Step-by-step explanation:

-4(4x-9)=2x

-16x+36= 2x

-16x - 2x = -36

-18x = -36

x = 2

Answer:

x = 2

Step-by-step explanation:

-4 (4(2)-9)=2x

-4 (8-9) = 2x

-4 (-1) = 2x

4 = 2x

divide by 2

2 = x

Answer:

Evan should agree to babysit for less than 18.5 hours (possible answer is 18 hours)

Step-by-step explanation:

let x = amount of hours evan should agree to babysit

10x + 15 < 200

10x < 185

x <18.5

Answer:

9 weeks

Step-by-step explanation:

If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.

This is because:

10 quizzes ÷ 5 weeks = 2 quizzes

We can use this information to solve for 18 quizzes by setting up the equation the same way

If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?

Variable x = total weeks

18 quizzes ÷ x weeks = 2 quizzes

With division, we can switch x weeks and 2 quizzes

18 quizzes ÷ 2 quizzes = x weeks

18 ÷ 2 = 9

9 weeks

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form:  4.3

Mixed Number Form:4  1/3

Step-by-step explanation:

Hope this helps ;)

The table below shows the number of hits for 25 and 50 repetitions.

Answer and Step-by-step explanation: Expected Value or Mean of a probability distribution is calculated as:

E(X) = μ = ∑xP(X)

In a game for the 2012 baseball season, expected value is:

[tex]\mu=0(0.1670)+1(0.3320)+2(0.2864)+3(0.1499)+4(0.0381)+5(0.0266)[/tex]

μ = 1.640

Standard Deviation (σ) of a probability distribution is:

[tex]\sigma=\sqrt{\Sigma (x-\mu)^{2}P(X)}[/tex]

[tex]\sigma = \sqrt{(0-1.640)^{2}(0.1670)+...+(5-1.640)^{2}(0.0266)}[/tex]

σ = 1.1883

The simulate experiment of 25 repetitions shows a table. With this table, it is possible to create a frequency table as follows:

x    |    f

0   |    4

1    |    7

2   |   11

3   |   2

4   |    1

With a frequency table, expected value is calculated as:

[tex]\mu=\frac{\Sigma (fx)}{\Sigma f}[/tex]

[tex]\mu=\frac{0*4+1*7+2*11+3*2+4*1}{25}[/tex]

μ = 1.56

Standard deviation, using a frequency table, is calculated as:

[tex]\sigma = \sqrt{\frac{n\Sigma (fx^{2})-(\Sigma fx)^{2}}{n(n-1)} }[/tex]

[tex]\sigma=\sqrt{\frac{25(0*4^{2}+...+4*1^{2})-(0*4+...+4*1)^{2}}{25(24)} }[/tex]

σ = 0.983

The same can be done for 50 repetitions.

The frequency table is

x      |      f

0     |      6

1      |     18

2     |     16

3     |     9

4     |     1

[tex]\mu=\frac{0*6+1*18+2*16+3*9+4*1}{50}[/tex]

μ = 1.62

[tex]\sigma=\sqrt{\frac{50(0*6^{2}+...+4*1^{2})-(0*6+...4*1)^{2}}{50(49)} }[/tex]

σ = 0.9775

Comparing expected values and standard deviations, observe that the bigger the repetition of the experiment, mean and standard deviation get closer to the theoretical statistical values. This is an example of the Law of Large Numbers, a theorem stating as the number of random, normally distributed values increase, their sample mean approaches the theoretical mean.

Answer:

1/2 a inch was this helpful

Answer:

add all........

Step-by-step explanation:

-3+(-4)+(-3)

-3-4-3

-10

Answer:

x = 13 / sin(55)

Step-by-step explanation:

sin(x)= opposite / hypotenuse

sin(55) = 13 / x

rearrange equation for x and solve

The account which is not protected by the FDIC is Checking Account. Thus option 3rd is correct.

The three kinds of saving accounts are regular deposits, money markets, and Certificates of Deposits. There is a difference in all three types in terms of accessibility and amount of interest.

The Checking account is defined as the account which carries the day-to-day transactions of money. Which ensures easy access to money.

Most people generally use a debit card or checks to make purchases.  Thus option 3rd is correct.

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Answer:

A. Safety deposit boxes

Step-by-step explanation:

I did it right

Answer:

m = -2/3

Step-by-step explanation:

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

m = (-4-4)/(20-8)

m = -8/12

m = -2/3

Answer:

yay

Step-by-step explanation:

yayayayayayayayayayayayayayayayayayayayayayayayayayay

Answer:

28pounds

Step-by-step explanation:

0.45=1pound

12.6

12.6/0.45=28pounds

Answer:

28 lb

I got help from the other answer

Answer:

-4 x + (-2) = 3 x + (-5) 3 x tiles

Hope this Helps!

Answer:

b

Step-by-step explanation:

Took test and ijm smartish lol edge

Answer:

-1/4

Step-by-step explanation:

2-1 over -3-1 = 1/-4

Answer:

18 8/9

Step-by-step explanation:

make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9

[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]

[tex] = \frac{170}{9} [/tex]

[tex] = 18 \frac{8}{9} [/tex]

[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]

Answer:

in the ordered pair; ( x  = 27/4 , y = 1/4 )

Step-by-step explanation:

Given that:

The system of the equation shown below is:

-2x - 14y = 10

 2x + 2y = 14

We are to use the elimination method to determine the ordered pair.

From the above equation:

-2x - 14y = 10  --- (1)

 2x + 2y = 14   --- (2)

Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.

-2x - 14y = 10

 2x + 2y = 14      

 0  - 16y = -4        

- 16 y = - 4

divide both sides by - 16, Then:

-16y /-16 = -4/-16

y = 1/4

Since y = 1/4, Then from equation (2), x will be :

2x + 2y = 14

2x + 2(1/4) = 14

2x + 1/2 = 14

2x = 14 - 1/2

2x = 13.5

x = 13.5/2

x = 27/4

Thus, in the ordered pair; ( x  = 27/4 , y = 1/4 )

Answer:

[tex]64 {a}^{3} {b}^{6} = 16a {b}^{3} \times h[/tex]

[tex] \frac{64 {a}^{3} {b}^{6} }{16a {b}^{3} } = h[/tex]

[tex]4 {a}^{2} {b}^{3} = h[/tex]

Answer:

x = 66

Step-by-step explanation:

So the angle with 104 that's the outside measure of the angle but we need to find the inside measure so first.

180 -104= 76 (so 76 is the measure to the inside angle)

Now

76 + 38 + x = 180 (collect like terms)

114 + x = 180 (minus 114 on both sides)

x = 66

Answer:

x=3

Step-by-step explanation:

x = number of toppings on berts pizza

Berts pizza has 1x toppings

Ernies pizza has 4x toppings

there are 15 toppings on both pizzas

x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3

Answer:

[tex]\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}[/tex]

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

Explanation:

The first line of the answer says "the first term is 2".

The second line says "take any term and multiply by -4 to get the next term".

The [tex]a_n[/tex] represents the nth term while [tex]a_{n-1}[/tex] is the term just before it.

The second line shown above is the same as writing [tex]a_{n+1} = -4*a_n[/tex]

---------------

The -4 is found by dividing any term over its previous one

-8/2 = -4

32/(-8) = -4

-128/32 = -4

512/(-128) = -4

This shows the common ratio is -4 and this sequence is geometric.

Answer:

x = -29/2

Step-by-step explanation: