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3 years ago

13

Consider a machine that exchange quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert u

p to five one dollar bills at a time. Is 7 a possible input for the relation this change machine represents ?

1 answer:

Afina-wow [57]3 years ago

8 0

No because it says you can only insert up to 5 Dollar Bills unless you put them in one at a time.

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A family pass to the amusement park costs $54 Using the Distributive Property,write an expression that can be used to fine the c

snow_lady [41]

X represents the amount of children's tickets
y represents the amount of adult's tickets

8(x+y) = 54

7 0

2 years ago

In a carnival game, you roll 2 dice. if the sum is 6, you receive a $5 payoff. if the sum is 12, you receive a $9 payoff. otherw

Ray Of Light [21]

P(sum = 6) = 5/36 ; P(sum = 12) = 1/36

expected payoff = (5/36)(5) + (1/36)(9) = $0.94

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2 years ago

Simplify (6x^-2)^2 (0.5x)^4 Show your work<br> PLEASE HELP THANK YOU!

goldenfox [79]

Use Multiplication Distribute Property: (xy)^a = x^ay^a

6^2(x^-2)^2(0.5x)^4

Simplify 6^2 to 36

36(x^-2)^2(0.5x)^4

Use this rule: (x^a)^b = x^ab

36x^-4(0.5x)^4

Use the Negative Power Rule: x^-a = 1/x^a

36 × 1/x^4(0.5x)^4

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

36 × 1/x^4 × 0.5^4x^4

Simplify 0.5^4 to 0.0625

36 × 1/x^4 × 0.0625x^4

Simplify

2.25x^4/x^4

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<u>2.25</u>

6 0

2 years ago

What Is The Answer<br> 2/3 - 4/12 =

erica [24]

2/3 = 8/12. So the answer is 4/12

8 0

2 years ago

Read 2 more answers

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago