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3 years ago

Determine whether the ordered pair is a solution of the liner inequality.

Mathematics

2 answers:

shusha [124]3 years ago

8 0

The given 3rd option is the viable answer.

choli [55]3 years ago

6 0

Answer:

hello : (4, –2)

Step-by-step explanation:

because put : x = 4 and y = - 2 in the inequality y+3 ≤ 2x you have :

- 2 +3 ≤ 2(4)

1 ≤ 8 .... right

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Did we invent math or did we discover it? I need help asap plz. Don't answer if you don't know plz

Wewaii [24]

Answer:

The only reason mathematics is admirably suited describing the physical world is that we invented it to do just that. It is a product of the human mind and we make mathematics up as we go along to suit our purposes. ... Mathematics is not discovered, it is invented.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some sour straws for $1.50

GalinKa [24]

Answer:

x = 5

$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.

1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).

To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.

Let me know if you have any other questions :)

4 0

3 years ago

Read 2 more answers

Write x^5 in expanded form

svetoff [14.1K]

Hi,

x^5 = x * x * x * x * x.

5 0

3 years ago

. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre

MrRa [10]

Answer: 19 degrees is your answer

Step-by-step explanation:

5 0

2 years ago