Simple algebra 1, one question about linear functions

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

Answer:

(a) The expected value is: $0.40625

(b) The expected value is: $0.4286

Step-by-step explanation:

Solving (a): Raffle 1

Given

[tex]Tickets=800[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$450[/tex] ---- for 1

[tex]Consolation = \$100[/tex] --- for 2

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 800 * \$2[/tex]

[tex]A_1 = \$1600[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]

[tex]A_2 = \$450 +\$200[/tex]

[tex]A_2 = \$650[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$650}{\$1600}[/tex]

[tex]E(x) = \$0.40625[/tex]

Solving (b): Raffle 2

Given

[tex]Tickets=350[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$150[/tex] ---- for 1

[tex]Consolation = \$50[/tex] --- for 3

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 350 * \$2[/tex]

[tex]A_1 = \$700[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]

[tex]A_2 = \$150 +\$150[/tex]

[tex]A_2 = \$300[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$300}{\$700}[/tex]

[tex]E(x) = \$0.4286[/tex]

Answer:

111.21

Step-by-step explanation:

Took the test

Answer:

f(x) = 16x2 + 32x - 9

To find the "zeros", set f(x) = 0:

    0 = 16x2 + 32x - 9

The equation is solvable by factoring or by using the quadratic formula.  The factors (use the "ac" method) are:

    0 = (4x-1)(4x+9)

    x = 1/4 = 0.25 and x = -9/4 = -2.25

Step-by-step explanation:

The zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25. Thus, the correct answer is option B.

To find the zero of the quadratic function f(x) = 16x² + 32x - 9, we need to solve the equation f(x) = 0.

Setting the equation equal to zero:

16x² + 32x - 9 = 0

To solve this quadratic equation, we can use the quadratic formula:

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

For our equation, the coefficients are:

a = 16

b = 32

c = -9

Substituting these values into the quadratic formula:

[tex]x = \dfrac{-32\pm\sqrt{32^2-4\times16\times-9}}{2\times16}\\\\x=\dfrac{-32\pm \:40}{32}\\\\x=\dfrac{-32+40}{32},\dfrac{-32-40}{32}[/tex]

Simplifying further:

x = 8 / 32

= 1/4

= 0.25

x = -72 / 32

= -9/4

= -2.25

Therefore, the zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25.

Learn more about quadratic function here:

brainly.com/question/14083225

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The complete question is as follows:

Which is a zero of the quadratic function f(x) = 16x² + 32x - 9?

A. x = -5.25

B. x = -2.25

C. x = -1.25

D. x = -0.25

Answer:

6/18 or 3/9 they are the same!

Hope this helps! Brainliest thanks!

Answer:

The time in minutes needed to drain the bathtub completely

Step-by-step explanation:

The decreasing graph shows the water being drained over a period of time.

The red line shows the starting amount of water in inches and the final point where there is no more water left in the tub.

Answer:

306 [tex]ft^{2}[/tex]

Step-by-step explanation:

Formula for triangle: bh/2

2 (8*9/2) = 72

Formula for rectange: bh

8*9 = 72

2(9*9) = 162

Add: 72 + 72 + 162 = 306

Answer:

22/90.

Step-by-step explanation:

0.24444... * 100 =    24.4444...

0.244444.. * 10   =     2.44444....

Subtract:

0.244444..  * 90    =  22

So the required fraction is 22/90.

Answer: .41+.34=.75

Step-by-step explanation:

Answer:

923.16

Step-by-step explanation: so what you is you multiply 14x21 the you take half the raidius and divide by 3.14 and thats how you get your answer.

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

Answer:

154 inchs

Step-by-step explanation:

22 * 14 divided by 2

D=7.2

Step-by-step explanation:

To be honest I cant give you an explanation bc i used a calculator. Sorry

Answer:

the answer is B!

hope this helps!

Answer:

x= (-2)

Step-by-step explanation:

brainliest?

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Answer:

not necessarily congruent

Step-by-step explanation:

asa is angle side angle , in this case, none of the sides are marked congruent

sas is side angle side, again, no sides marked congruent

sss, side side side, again, no sides are marked congruent

which only leaves the triangles not being congruent.

Answer:

I think the answer is 3.47

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

Answer:

69.

Step-by-step explanation:

literally just put 69, or dude use photo math ! u can download it on the app store . it's so helpful better than this app

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

To learn more about the profit refer to the link;

https://brainly.com/question/15036999

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Answer:

1/4x=8 which also equals 32

Step-by-step explanation:

12-4=8

5/8-3/8=2/8=1/4

1/4x=8   then you would multiple each side by 4 to cancel out and 4*8=32

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation: