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Wewaii [24]
3 years ago
8

Find (r-s) (t-s) + (s-r) (s-t) for all numbers r, s, and t. (a) 0 (b) 2 (c) 2rt (d) 2(s-r) (t-s) (e) 2(r-s) (t-s)

Mathematics
2 answers:
NeTakaya3 years ago
5 0

Answer:

d

Step-by-step explanation:


lyudmila [28]3 years ago
3 0
Notice that the 2 expressions have 2 common terms.

(r-s) is just (s-r) times (-1)

similarly

(t-s) is just (s-t) times (-1)

this means that :

(r-s) (t-s) + (s-r) (s-t)=-(s-r)[-(s-t)]+(s-r) (s-t)

the 2 minuses in the first multiplication cancel each other so we have:

-(s-r)[-(s-t)]+(s-r) (s-t)=(s-r) (s-t)+(s-r) (s-t)=2(s-r) (s-t)

Answer:

d)<span>2(s-r) (t-s) </span>
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A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
sergejj [24]

Answer:

884

Step-by-step explanation:

We know the ratio of A to B is 5:8

let x = the multiplier

then

5x = amt of compound A

and

8x = amt of compound B

 

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5x + 8x = 884

13x = 884

x = 884/13

x = 68 is the multiplier

therefore

5(68) = 340 millilters of compound A needed

:

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Confirm our answer. Find the amt of B

8(68) = 544 ml of B

340 + 544 = 884

5 0
2 years ago
Greyson is buying a $40 pair of jeans. He has a coupon for 15% off. He must pay 6% sales tax on
daser333 [38]

Answer:

The answer is $36.04

Step-by-step explanation:

Have a nice day/night :)

3 0
2 years ago
The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w
sukhopar [10]

Answer:

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

Step-by-step explanation:

we have

n(x)=\frac{3}{4}x -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to m=\frac{3}{4}\frac{homeruns}{game}

therefore

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

<u>Verify</u>

the average rate of change is equal to

\frac{n(b)-n(a)}{b-a}

In this problem we have

n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns  

n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns  

a=12\ games

b=60\ games

Substitute

\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}

4 0
3 years ago
What is x-3&lt; 1 in interval notation
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6 0
2 years ago
Which of these is divisible by 3 and 4?
Leokris [45]
One number that is divisible by both 3 and 4 is 12. Any multiple of 12 is also divisible by both 3 and 4, such as 24, 36, 48, etc.
7 0
3 years ago
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