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3 years ago

What is best definition of combining like terms

1 answer:

8 0

They are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.

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Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog

vitfil [10]

Answer:

Answer (a):

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Answer (b)

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

A system of equations will be:

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = $\frac{288}{32}$ = 9

So there are 9 large dogs.

8 0

3 years ago

Simplify -6.8+ (-2.71)

vova2212 [387]

Answer:

4.09

Step-by-step explanation

since negatives over power positive numbers

-6.8+(-2.71) - will simplify plus into minus

-6.8 - 2.71 - now just subtract

6.8-2.71=4.09

5 0

3 years ago

Determine whether the relation is a function. find the domain and range

11Alexandr11 [23.1K]

What’s the question

5 0

4 years ago

Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b

elixir [45]

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b: general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b. Then b must be 8, and the desired equation is

y = 5x + 8

3 0

3 years ago

Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

3 years ago