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Elden [556K]
3 years ago
6

PLEASE ANSWER ASAP, WITHIN THE NEXT 10 MIN WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0
I would answer but I would want more points lol
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Can you help me with this pls
posledela

Answer:

20% tip is $3.97, add that to 18.97 and you get $22.76, then add 8.25 and you get $31.01

6 0
3 years ago
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
The scatter plot below shows the high temperature for one day and the number of coats in the theater coat check on that same day
Setler [38]

Answer:

the number of coats in the coat check will most likely decrease if the temperatures decrease.

Step-by-step explanation:

Im guessing this answer: Number of coats in the coat check will decrease because the graph shows negative association

But it could also be this answer: Number of coats in the coat check will decrease because the graph shows positive association

I think the graph shows a negative association because when the temperature goes down, the coat check goes down as well

6 0
3 years ago
Read 2 more answers
I am not irrational, I am an integer, I am a natural number, and I am a prime number. What number am I?
LuckyWell [14K]

Answer:

I think 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?​
Irina-Kira [14]

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

  Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

  Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

5 0
3 years ago
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