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lapo4ka [179]
3 years ago
9

If the domain of the square root function f(x) is x <_7, which statement must be true?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
The answer to this isb
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Does anyone know what 3x4/5x6 is
yan [13]

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

7 0
2 years ago
Read 2 more answers
If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
Read 2 more answers
When you have the number 81 as your median and you have to find the missing number out of the following 82,87,77,70,80,88
Natali5045456 [20]
Uh, so, you're median is 81 already.

Since the middle two numbers are 82 and 80, you have to add them together and then divide by 2. 

However, if you're trying to add a number in, adding 81 as it is would work as well.

Hope this helps!
6 0
3 years ago
Work the following problem. Choose the correct answer. If an article costs a store $17.45 and if it sells the article for $22.95
Sedaia [141]
(22.95−17.45)÷17.45)*100=31.52%
5 0
3 years ago
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5.4 divided 0.12 show work on how you got the ansswer
FinnZ [79.3K]
5.4 divide by 0.12 equals 45
6 0
3 years ago
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