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nlexa [21]
3 years ago
13

Write without the absolute value sign. |x-3| if x>4

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0
If x>4, then the quantity x-3 inside the absolute value symbol is already positive.  So, in this case, |x-3|  =>  x-3, and   x-3 is all you need to write.
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A kindergarten teacher asked the students’ parents to send their child to school with two fruits (apples and/or oranges). Below
hichkok12 [17]

Answer:

The frequency of oranges is the classroom is 47.37%.

Step-by-step explanation:

The relative frequency of oranges is the number of oranges divided by the total number of fruits.

We have that:

8 students brought 2 apples each. So there are 8*2 = 16 apples

4 students brought an apple and an orange each. So there are 16 + 4*1 = 20 apples and 4*1 = 4 oranges.

7 students brough 2 oranges each. So there are 4 + 2*7 = 18 oranges.

There are 18 oranges, and 20+18 = 38 fruits in total.

So the frequency of oranges in the classrom is

F = \frac{18}{38} = 0.4737

5 0
3 years ago
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Kitty [74]

Answer: ab =6

have:

\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

4 0
3 years ago
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi
olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

10 + 5x=y

Now, it is given that his goal is minimum of 50 countries.

So,

10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0
3 years ago
Need help, please answer!!!
RoseWind [281]
Find urban know first
7 0
3 years ago
Please answer this correctly
alexgriva [62]

Answer:

50% off :)

Step-by-step explanation:

use the purple coupon to take off half of the whole price so you spend less overall. And the only requirement is that it needs to be over the price of 350 (originally) , so your item is eligible.

6 0
3 years ago
Read 2 more answers
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