All categories

3 years ago

Which of the following is a solution of y - x > -3? (6, 2) (2, 6) (2, -1)

Mathematics

2 answers:

marysya [2.9K]3 years ago

6 0

Answer:

(2, 6)

Step-by-step explanation:

For each of the 3 given points, substitute the coordinates into y - x > -3 and determine whether the resulting inequality is true or false:

(6, 2): 2 - 6 > - 3, or -4 > -3. This is FALSE, so (6, 2) is not a solution.

(2, 6): 6 - 2 > - 3, or 4 > -3. This is TRUE, so (2, 6) is a solution.

Savatey [412]3 years ago

5 0

Answer: (2,6)

Step-by-step explanation:

The coordinates are in the form (x,y)

(6,2) 2-6=-3, -3≡-3 thus not the answer

(2,6) 6-2=3, 3>-3

(2,-1) -1-2=-3, -3≡-3 thus not the answer

Hope it helped!

You might be interested in

Jeans are on sale for 80% of the original price of $60. What is the sale price? A.$12 B.$24 C.$36 D.$48

sammy [17]

Answer:

d 48

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Ms Kelly puts more than 5 apples in each bag. Write an inequality to represent the number of apples in a bag

Hunter-Best [27]

Y=5+x is the inaquality you are looking for.

3 0

3 years ago

Verify if 1/2x-2 and g(x) = 2x + 4 are inverses

Triss [41]

They are inverses if f( (g(x)) = x

f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x

so this proves that g(x) is the inverse of f(x)

the other inverse g((f(x)) should also be = x

5 0

3 years ago

A box contains 3 coins. One coin has 2 heads and the other two are fair. A coin is chosen at random from the box and flipped. If

Blababa [14]

Answer: Our required probability is $\dfrac{1}{2}$

Step-by-step explanation:

Since we have given that

Number of coins = 3

Number of coin has 2 heads = 1

Number of fair coins = 2

Probability of getting one of the coin among 3 = $\dfrac{1}{3}$

So, Probability of getting head from fair coin = $\dfrac{1}{2}$

Probability of getting head from baised coin = 1

Using "Bayes theorem" we will find the probability that it is the two headed coin is given by

$\dfrac{\dfrac{1}{3}\times 1}{\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times 1}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{3}}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{2}{3}}\\\\=\dfrac{1}{2}$

Hence, our required probability is $\dfrac{1}{2}$

No, the answer is not $\dfrac{1}{3}$

5 0

3 years ago

Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder

user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

For federal withholding allowance = 3:

Social Security Tax: 6.2% of $810 = $\frac{6.2\times810}{100}$ = $50.22
Medicare tax : 1.45% of $810 = $\frac{1.45\times810}{100}$ = $11.745
State tax: (21% of 3)% of $810= $\frac{21\times3 }{100} \times\frac{810}{100}$ = 0.63% of $810 = $\frac{0.63\times810}{100}$ = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

For Federal Withholding Allowance = 4:

State tax: (21% of 4)% of $810 = $(\frac{21\times4}{100}) \times\frac{810}{100}$ = 0.84% of $810 = $\frac{0.84\times810}{100}$ = $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

4 0

2 years ago