Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

Answer:

Draw a square and shade half of it. Then draw 2 lines to divide the square into 3 equal parts. There will be one shaded piece in each group, and there are 6 pieces total, so the answer is 1

6

of a gallon.

Step-by-step explanation:

Answer:

Hopefully this helps other people! :) I got it right on the test!

Answer:

[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]

Step-by-step explanation:

The quotient rule of exponential power states that:

[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]

This can be easily understood with the help of an example:[tex]\displaystyle\frac{x^4}{x^2} = \displaystyle\frac{x\times x\times x\times x}{x\times x}  = x^2 = x^{4-2}[/tex]

Basically, this quotient rule helps us to reducing the fractions. Since the numerator and the denominator is same as we have same base, we could simply subtract the powers to get the answer as illustrated in the above example.

When dividing powers with the same base, subtracting exponents simplifies the expression due to the quotient of powers rule is [tex]a^m / a^n = a^{(m - n).[/tex]

When dividing powers with the same base,  subtract the exponents because of the properties of exponents.

The rule is known as the "quotient of powers" rule, and it states that when you divide two powers with the same base,

subtract the exponents to simplify the expression.

The rule can be stated as follows:

[tex]a^m / a^n = a^{(m - n).[/tex]

Here's why this rule works,

Let's say you have a number 'a' raised to two exponents 'm' and 'n':

[tex]a^m[/tex]= a × a × a ×... (m times)

[tex]a^n[/tex] = a × a × a × ... (n times)

Now, to divide these two powers, cancel out the common factors:

[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)

In the numerator and denominator, there are 'm' and 'n' occurrences of 'a', respectively.

Since we are dividing, we can cancel out 'n' occurrences of 'a' from the numerator and denominator:

[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)

          = [tex]a^{(m - n)[/tex]

Therefore, when divide powers with the same base, subtract the exponents to simplify the expression and apply this property of exponents.

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The calculation that is NOT a relevant way to find the value of 14/20 is given by option a: 0.5 + 0.05.

Let's find the value of 14/20 first:

To find 14/20, divide 14 by 20:

14 ÷ 20 = 0.7

Now, let's check each calculation:

a. 0.5 + 0.05 = 0.55 (Not relevant to finding 14/20)

b. 0.75 - 0.05 = 0.7 (Relevant, as this gives us 14/20)

c. 14 ÷ 20 = 0.7 (Relevant, as this is the correct calculation for 14/20)

d. 14 × 0.05 = 0.7 (Relevant to finding 14/20)

Therefore, the calculation that is NOT a way to find 14/20 is option a: 0.5 + 0.05.

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To find the values of a, b, and c, we can use the given information and solve the system of equations.

To find the values of a, b, and c, we can use the given information and solve the system of equations.

From the first two statements, we have a/c = 8 and a*c = 2. This allows us to solve for a and c.

Similarly, from the next two statements, we have a/b = -16 and a*b = -1. Using these equations, we can find the values of a and b.

Finally, the last statement gives us b/c = -0.5, and we can use this equation to find the value of c.

Substituting the appropriate values for a, b, and c, we find that a = 1, b = 0.0211, and c = -0.0211.

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The probability of picking a dime or a quarter is 3/4

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, you have 4 dimes, 5 quarters, and 3 pennies in your pocket.

There are a total of 4 + 5 + 3 = 12 coins in your pocket.

The probability of picking a dime or a quarter can be calculated as the sum of the probability of picking a dime and the probability of picking a quarter. Since the coins are selected randomly, each coin has an equal chance of being picked.

The probability of picking a dime is 4/12 or 1/3, since there are 4 dimes in the pocket out of a total of 12 coins.

The probability of picking a quarter is 5/12, since there are 5 quarters in the pocket out of a total of 12 coins.

Therefore, the probability of picking a dime or a quarter is:

P(dime or quarter) = P(dime) + P(quarter)

P(dime or quarter) = 4/12 + 5/12

P(dime or quarter) = 9/12

P(dime or quarter) = 3/4

So the probability of picking a dime or a quarter is 3/4, or three-fourths.

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Answer:

The answer is 7/8.

Step-by-step explanation:

If you add 11/16 to 3/16, you'll get 14/16.  14/16 has two numbers that are divisible by 2,  so when you divide 14/16 by 2 you'll get 7/8 which is 14/16 in a simplified form.  7 is prime and you can't divide it down any more, but 8 i'snt the same way.  The rule is, whatever you do to one side, you have to do to the other.  You can divide 8, but not 7; therefore, you cannot simplify the fraction any further.

To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same.

To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same. In this case, we have 11/16 + 3/16. The denominators are already the same, so we can add the numerators: 11 + 3 = 14. The fraction 14/16 cannot be simplified further.

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Answer: [tex]\dfrac{3}{5}[/tex]

Step-by-step explanation:

Given : The number of pink marbles in bag= 8

Total number of marbles in bag= [tex]4+5+8+3=20[/tex]

Now, the number of marbles that are not pink =[tex]20-8=12[/tex]

We know that the formula to find the probability is :-

[tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Similarly, [tex]\text{P(not pink)}=\dfrac{12}{20}=\dfrac{3}{5}[/tex]

Answer:

Perimeter of triangle 1 = p1 = 66

Perimeter of triangle 2 = p2 = 44

Answer:

[tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

There are 24 hours in a day, therefore:

The total hour used for sleeping, studying and travelling=7+6+6=19 hours

Hours used for other things=24-19=5 hours

Therefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]

Your answer would be -6! -42= -6 divided by 7 or 7 X -6= -42

Distributive Property

Addition or Subtraction Property of Equality

Multiplication or Division Property of Equality