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Oksana_A [137]
3 years ago
15

1+(-2-5)^2+(14-17)×4

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

38

Step-by-step explanation:

1 + (-7)^2 + (-3)x4

1 + 49 + (-12)

38

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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
2 years ago
-3 + 42 &gt; 3<br><br> x &gt; 15<br> x &lt; 15<br> x &gt; 13<br> x &lt; 13
Ilya [14]

Answer:

Where's the x?

I am assuming that the problem must be

-3 + 42 > 3x

if that is true, then

<u>x < 13</u>.

As this statement is, -3 + 42 > 3 is a true statement because -3 + 42 = 39, and

39 > 3 [39 is always greater than 3]

Step-by-step explanation:

Let me know if you need a step by step.

8 0
2 years ago
Read 2 more answers
What is the value of |-6|—|6|-(-6)?<br><br> The solution is
Rzqust [24]

Answer:

6

Step-by-step explanation:

|-6| = 6

|6| = 6

- -6 = +6

so, we have

6 - 6 + 6 = 6

5 0
3 years ago
Using a minimum of two sentences, describe how to write the function, (X) = (x + 2)2 - 3, in standard form
Jobisdone [24]

Answer

It takes two steps to solve this problem. Step 1, you must solve the binomial squared. Then combine similar terms.

8 0
2 years ago
Watch rep
Sveta_85 [38]

Something happened when you copy and pasted the question, was it important to the question?

8 0
2 years ago
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