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3 years ago

Explain to different ways it is possible to add to rational numbers and get a negative number

1 answer:

4 0

Same sign add different sign subtract that means if their both positive you add and if one is positive and the other is negative you subtract

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what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form

Alina [70]

La formula para sacar la pendiente:

Y2-Y1/X2-X1

Respuesta:

Y2-Y1/X2-X1= -2-(-10)/-1-(-1)

= -2+10/ -1+1= 8

R=8

Espero que te sirva

3 0

3 years ago

Read 2 more answers

How do you find the value of 4!

prohojiy [21]

Answer:

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24

3 0

2 years ago

Heather walked 24 feet to the south and 32 feet to the east, but then she walked in a straight line back to where she started, a

Oksanka [162]

Answer:

96 feet

Step-by-step explanation:

This problem requires the use of pythagorean theorem.

she walks 24 ft south + 32 ft east + $\sqrt{24^2 + 32^2}$ = 56 + $\sqrt{1600} = 56 + 40 = 96$

4 0

3 years ago

Which is a graph of f(x) = (6x-2)/(x-3), with any vertical or horizontal asymptotes indicated by the dashed lines?

Margaret [11]

Answer:

to find the vertical asymptote, you have to put the rational function in the simplest form, which means to cancel any common factor between the numerator and denominator. here we don't have anything to cancel. then take the denominator and equal it to 0. x-3=0 ,x=3

to find the horizontal asymptote, in this situation, the degree of the numerator and denominator are the same which is 1. therefore, y=the coefficient of the numerator ÷ the coefficient of the denominator. y=6÷1 ,y=6

7 0

3 years ago

Read 2 more answers

Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%,

Alisiya [41]

Answer:

a. It will take approximately 40 months

b. The total amount Paul has to pay is approximately $8,000

c. The amount Paul pays each month is approximately $316.59

d. The amount Paul has to pay is approximately $7,598.16

e. Lower monthly payment

f. Lower total payment amount (amount to be paid)

Step-by-step explanation:

a. The loan amount, PV = $7,000

The annual interest rate, r = 8%

Option 1; The amount of equal monthly payment to repay the loan = $200

Option 2; The number of equal monthly payment to repay the loan = 24

The formula for the present value of an annuity is given as follows;

$PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}$

Where;

PMT = The monthly payment

n = The number of months

Where PMT = $200, we have;

$200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}$

$1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}$

$1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}$

$-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988$

∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months

b. The total amount Paul has to pay, A = PMT × n

Therefore, b plugging in the values of PMT, and 'n', we get;

A ≈ $200 × 40 = $8,000

c. Using option 2, we have;

n = 24

Therefore;

$PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59$

The monthly payment, PMT ≈ $316.59

d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16

The total amount Paul has to pay using option 2, A ≈ $7,598.16

e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment

f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.

5 0

3 years ago