Find the distance between the number and its opposite on a number line.-6The distance between-6amd its opposite is__ units

-1/10.

We want to make the fractions have the same denominator by multiplying both the numerator and denominator of one of the fractions for a number that makes the denominator be the same as the other fraction. For example, if we multiply the numerator and denomimator of the second fraction by 2, we'll make it have the same denominator as fraction 1, so let's go ahead and do just that.

\(\frac{1*2}{5*2}=\frac{2}{10}\)

Now that the fractions have the same denominator, make the substraction like this:

\(\frac{1}{10} -\frac{2}{10}=\frac{1-2}{10}=-\frac{1}{10}\)

3. Express your result.

(1/10) - (1/5) = -1/10.

The argument, filled-in with the student ID 12345678, is sound because the two premises are true and the conclusion follows logically from them.  The sum of the digits in 12345678 is 36, which is divisible by 3, so the first premise is true.

My student ID is 12345678.

The argument, filled-in with my student ID, is sound. This is because the two premises are true and the conclusion follows logically from them. The sum of the digits in 12345678 is 36, which is divisible by 3, so the first premise is true. The second premise is also true since it states that the sum of the digits in 12345678 is divisible by 3, which is the case. Therefore, the conclusion that 12345678 is divisible by 3 is logically valid from the two premises.

Student ID: 12345678

The argument, filled-in with the student ID 12345678, is sound because the two premises are true and the conclusion follows logically from them.

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Question 6

\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)

Question 7

\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)

Answer:

91.66666666666667

Step-by-step explanation:

240,000/100 = 220,000/x

220,000 x 100 = 22,000,000

22,000,000 divided by 240,000 = 91.66666666666667

Answer:

This type of problem requires you to calculate the Percentage decrease

Step-by-step explanation:

Formula: Percentage Decrease=

Starting Value minus Final Value / Starting Value x 100

240,000 - 220,000 = 20,000

so 20,000/240,000 = 0.0833333333

so 0.0833333333 x 100 =8.33333333%

ans.  8.33333333% decrease in the price of the house.

Answer:

80%

Step-by-step explanation:

the probability of y1 being less than 1 is 1, regardless of the actual value of y1. P(y1 < 1) = 1

Since y1 and y2 are both uniformly distributed on the interval (0,1), this means that all possible values of y1 and y2 are equally likely. Therefore, the probability of y1 being less than 1 is 1, since any value of y1 between 0 and 1 has the same probability of occurring. This means that the probability of y1 being less than 1 is 1.

Since y1 and y2 are both uniformly distributed on the interval (0,1), this means that all possible values of y1 and y2 between 0 and 1 are equally likely to occur. This means that the probability of y1 being less than 1 is the same as the probability of y1 being equal to any value between 0 and 1. Since this probability is the same for all possible values of y1, the probability of y1 being less than 1 is 1, regardless of the actual value of y1. This is because any value of y1 between 0 and 1 has the same probability of occurring, meaning that the probability of y1 being less than 1 is 1.

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 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Answer:67 or 66.549674907

Step-by-step explanation:

Man women baby

To the nearest hundredth of a year (period), it will take Olivia's money 0.54 years more to triple than Aria's money to triple.

The additional period it will take Olivia's money to triple than Aria's is determined as the difference between the two investment periods.

The investment periods are computed using an online finance calculator as follows:

I/Y (Interest per year) = 8.375%

PV (Present Value) = $40,000

PMT (Periodic Payment) = $0

FV (Future Value) = $-120000

Results:

Number of Periods (N) = 4,788.531

= 13.119 years (4,788.531/365) or 13 years and 1 month

Total Interest = $80,000.00

I/Y (Interest per year) = 8.125%

PV (Present Value) = $40,000

PMT (Periodic Payment) = $0

FV (Future Value) = $-120000

Results:

N = 54.633

= 13.65825 years (54.633 quarters/4) or 13 years and 8 months

Total Interest $80,000.00

The difference in investment period:

13.66 - 13.12

= 0.54 years

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a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

The writing is blurry. Please snap again in closer range

Answer:

3 and 5

Step-by-step explanation:

Answer:

No value

Step-by-step explanation:

Y has zero solutions

Step-by-step explanation:

To find a, the leading coeffiecent of the quadratic is a.

So a is 2.

To find b, we must use the formula

\( - \frac{b}{2a} \)

\( \frac{ - ( - 3)}{2(2)} = \frac{3}{4} \)

So b=3/4.

To find c, plug in 3/4 into the function,

which we get

\(2( \frac{9}{16} ) - 3( \frac{3}{4} ) + 21\)

\( \frac{9}{8} - \frac{9}{4} + 21 = \frac{9}{8} - \frac{18}{8} + 21 = - \frac{9}{8} + 21 = 19.875\)

So c=19.875

Answer:

6

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(AnB)

n(AUB) can have the minimum number of elements if n(AnB) has the maximum number of elements.

n(AnB) maximum = 3

so n(AUB) = 3+6-3 = 6

The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

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Answer:

The circumference is 44 in.

Step-by-step explanation:

C = 2πr        Use this equation to find the circumference

C = 2π(7)     Multiply

C = 14π        Multiply

C = 43.98 ≈ 44 in

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Answer:

There is $40 saved at the end of the sixth week.

For every week after week zero, you gain an additional five dollars added on to the ten dollars you have saved. So, the table in the question should look something like this:

x (weeks)                                   y (money saved)

0                                                $10

1                                                 $15

2                                                $20

3                                                $25

4                                                $30

5                                                $35

6                                                $40

Answer:

hii

Step-by-step explanation:

0 10

1 15

2 20

3 25

4 30

5 35

6 40

hope this helps!!

f(x) = (x+4)(x+2).

f(x) = x² + 2x + 4x + 8

f(x) = x² + 6x + 8

Dilate by x:

x³ + 6x² + 8x

Answer: its either A or C, but im p sure its C

Insert a picture, please.

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

The right response is Option c ($185,870,742).

Step-by-step explanation:

Given:

n = 30

r = 5.4%

or,

 = 0.054

Periodic payment will be:

\(R = \frac{360000000}{30}\)

   \(=12000000\) ($)

Now,

The present value will be:

= \(R+R(\frac{1-(1+r)^{-n+1}}{r} )\)

By substituting the values, we get

= \(12000000+12000000(\frac{1-(1+0.054)^{-30 + 1}}{0.054} )\)

= \(12000000+12000000\times 14.4892\)

= \(185,870,742\) ($)

Answer:

-7

Step-by-step explanation:

Answer:

in one year you will have total $63.60

Answer:

c. 63.60

Step-by-step explanation:

60(7%)=3.60=63.60

Answer:

32

Step-by-step explanation:

divide each number and you get 32 for all of them which gives you the slope i think