Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)

The solution to the quadratic equation x² - 6x + 7 = 0 is found by modifying the equation to the form (x - h)² = k, adding 9 to each side, and then taking the square root of each side to solve for x, resulting in x = 3 ± √2.

To complete the square and solve the quadratic equation x² - 6x + 7 = 0, we need to perform a few steps.

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Answer:

4/15

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28 (there are 7)

19: There is 1

Total: 7+1=8

8/30=4/15

Answer:

A. Novels Hope this helps!

Step-by-step explanation:

Answer:

Justin got 7 rolls of quarters and 4 rolls of dimes.

Step-by-step explanation:

Let the roll of quarters be x

Let the rolls of dimes be y

As total money received is $90, the equation becomes;

[tex]10x+5y=90[/tex]    .....(1)

And he got 11 roll of coins, so equation becomes;

[tex]x+y=11[/tex] or [tex]x=11-y[/tex]    .... (2)

Substituting the value of x from (2) in (1)

[tex]10(11-y)+5y=90[/tex]

[tex]=> 110-10y+5y=90[/tex]

[tex]=> -5y=-110+90[/tex]

[tex]=> -5y=-20[/tex]

So, y = 4

As [tex]x=11-y[/tex]

So, [tex]x=11-4[/tex]

x = 7

Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.

Final answer:

The word that best describes 8(2x + 4) is multiplication. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Simplifying further, 8(2x + 4) becomes 16x + 32.

Explanation:

The word that best describes 8(2x + 4) is multiplication. In this expression, the number 8 is being multiplied by the expression 2x + 4. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Therefore, the expression becomes 8 * 2x + 8 * 4.

Simplifying further, we get 16x + 32. So, the word that best describes 8(2x + 4) is multiplication.

Answer: And... what about the fish tank can you give more detail?

Step-by-step explanation:

The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Given that, (-x²+9)+(-3x²-11x+4).

Here, -x²+9-3x²-11x+4

= (-x²-3x²)-11x+9+4

= -4x²-11x+13

Therefore, option B is the correct answer.

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Answer:

Multiply ,Add , divide

Step-by-step explanation:

Based on the 85% chance of very hot weather, it is reasonable to prepare to use the air conditioner. Weather forecasts with high probabilities can guide us in making practical preparation decisions for comfort and safety.

The weather report indicates there is an 85% chance that it will be very hot tomorrow. Given this high probability, it would be reasonable for you to prepare to use the air conditioner. Decisions based on weather forecasts often involve considering the likelihood of different outcomes and planning accordingly.

Weather is the atmospheric conditions at a particular place over a short period of time, and preparing for it helps us manage daily activities and comfort levels. When the probability of a specific weather event, such as extreme heat, is high, it is generally wise to prepare for that scenario. By planning to use the air conditioner, you can ensure you're able to maintain a comfortable environment during the hot weather.

Answer:

It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

Answer:

A on edge 2021

Step-by-step explanation:

The experimental probability of spinning a B or a C is [tex]\( \frac{1}{4} \)[/tex].

To find the experimental probability of spinning a B or a C, we need to sum up the frequencies of outcomes B and C and then divide that by the total number of spins.

Given frequencies:

Outcome A: 3

Outcome B: 2

Outcome C: 1

Outcome D: 4

Outcome E: 2

Total frequency of B and C: 2 (from outcome B) + 1 (from outcome C) = 3

Total number of spins: Sum of all frequencies = 3 + 2 + 1 + 4 + 2 = 12

Experimental probability of spinning a B or a C: [tex]\(\frac{\text{Total frequency of B and C}}{\text{Total number of spins}} = \frac{3}{12} = \frac{1}{4}\)[/tex]

So, the experimental probability of spinning a B or a C is [tex]\(\frac{1}{4}\)[/tex].

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Answer:

b) Peanuts, $1 per lb

c) $21

Step-by-step explanation:

b)

Peanuts= 12*2=$24

Walnuts= 6*2=$12

1 lb of peanut= 3 lb

1 lb of walnut= 2 lb

24 is greater than 12

3-2=1

$1 greater per lb

c)

1 lb of peanut= 3 lb

1 lb of walnut= 2 lb

3*3=9

2*6=12

9+12= $21

Sorry I only figured out b and c :(

The outcomes of rolling fair six sided die is [tex] \{1,2,3,4,5,6\} [/tex]. The prime numbers in the above outcomes are [tex] \{2,3,5\} [/tex]. The probability of not rolling a prime number is [tex] p=\frac{3}{6}= 0.5 [/tex].

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

[tex] P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100 [/tex]. Since [tex] p=0.5,1-p=0.5 [/tex]

[tex] P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\
P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100 [/tex]