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3 years ago

Sorry this a lot.

2 answers:

5 0

Your
<span>-4| 3 7 -20
-12 20
______________
3 -5 0
is a bit hard to read. Try this format:
__________
-4 / 3 7 -20
-12 20
-------------------
3 -5 0

Because the remainder is 0, we know that -4 is a root and (x+4) is a factor. Note the new coefficients in the last row: 3 -5. They are the coeff. of the quotient, namely, 3x-5. So (3x-5) is a factor of the original polynomial.

</span>

Tom [10]3 years ago

3 0

The correct answers are,

The number -4 is a root of F(x) = 3^x2 + 7x - 20.

(x + 4) is a factor of 3x^2 + 7x - 20.

(3x^2 + 7x - 20) (x + 4) = (3x - 5)

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Simplify the expression

kow [346]

Answer:

Step-by-step explanation:

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4 0

2 years ago

The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ

Nutka1998 [239]

Answer:

equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

(x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

-18-3 = -21
-18-1 = -19
-18+1 = -17
-18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

(x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

4x +12 = -72 . . . . . collect terms

4x = -84 . . . . . . . . subtract 12

x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0

3 years ago

Which of the following demonstrates the Commutative Property of Multiplication?

Likurg_2 [28]

I believe the answer is d.

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3 years ago

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Help........Write an equation and solve:

Tom [10]

Answer:

5 months

Step-by-step explanation:

Equate the formulas for the weights of the two boys:

J's weight = 120 lb + (10 lb/mo)m = D's weight = 150 lb + (4 lb/mo)m

Solve as follows: Subtract 120 lb from both sides:

(10 lb/mo)m = 30 lb + (4 lb/mo)m.

Then: (6 lb/mo)m = 30 lb, and m = (30 lb) / (6 lb/mo) = 5 months

3 0

3 years ago

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.118.11 and a standard deviation of 1.

shutvik [7]

Answer:

2.5% of American women have shoe sizes that are at least 11.03.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.11

Standard deviation = 1.46

Using the empirical rule, what percentage of American women have shoe sizes that are at least 11.03?

11.03 = 8.11 + 2*1.46

So 11.03 is two standard deviations above the mean.

The empirical rule states that 95% of the measures are within 2 standard deviation of the mean. Since the distribution is symetric, of those 5% farther than two standard deviations of the mean, 2.5% are higher than 2 standard deviations above the mean and 2.5% are lower than 2 standard deviations below the mean.

So 2.5% of American women have shoe sizes that are at least 11.03.

8 0

3 years ago