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SashulF [63]
3 years ago
12

Part 5 ASAP math ofc

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

First equation solution:

x≤4

Second equation solution:

x≥4

Step-by-step explanation:

1/2x+8≤ 10

subtract 8 from each side

1/2x≤ 2

multiply each side by 2

x≤ 4

-3x-24≤- 36

add 24 to each side

-3x≤ -12

divide by -3 ( when dividing or multiplying by a negative number the </>/≤/≥ flips)

x≥4

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swat32

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × \frac{r}{1+(1-r)^{-t}}      ................1

put here value and we get

monthly payment = 5000 × \frac{0.053}{1+(1-0.053)^{-24}}\\

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4 0
3 years ago
Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}
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Step-by-step explanation:

(a)

Using the definition given from the problem

f(A) = \{x^2  \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2  \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4]  = f(A \cap B)\\

Therefore it is true for intersection. Now for union, we have that

A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]

Therefore, for this case, it would be true that f(A\cup B) = f(A)\cup f(B).

(b)

1 is not a set.

(c)

To begin with  

A\cap B \subset A,B

Therefore

g(A\cap B) \subset g(A) \cap g(B)

Now, given an element of g(A) \cap g(B) it will belong to both sets, therefore it also belongs to g(A\cap B), and you would have that

g(A)\cap g(B) \subset  g(A \cap B), therefore  g(A)\cap g(B)  =  g(A \cap B).

(d)

To begin with A,B  \subset A \cup B, therefore

g(A) \cup g(b) \subset g(A\cup B)

7 0
3 years ago
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Lina20 [59]

Answer:

Step-by-step explanation:

Let Waldo's speed = W

Let Ralph's speed = W + 15

A

Waldo's distance = speed * Time

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B

Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.

C

Ralph traveled  4*(W + 15)

D

4w + 70 + 4(W + 15) = d

You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.

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1/2x-2 <br> One half multiply negative 2
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Answer:

Step-by-step explanation:

11

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