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Nataliya [291]
3 years ago
13

Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressio

ns are equivalent.      12(w – 3)     12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
Mathematics
2 answers:
valina [46]3 years ago
5 0

The answer is 84, I took the test.

posledela3 years ago
5 0

Answer: 84

Step-by-step explanation:  You have to substitute the W for 10 on both expressions and solve so for the first expression it would be       12(10-3) and you would solve that to get 84 and the other expression would be           12(10)-36 which would equal also 84 . So that also means the expressions are equivalent .

Hope this helps have a nice day!! 8-) ( can u mark me brainliest pls)    

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Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
What is the answer<br> 5–4÷2?
tangare [24]

First, you divide 4 by 2 before you subtract them by 5 using BODMAS, or BIDMAS.

4 ÷ 2 = 2

5 - 2 = 3

3 is your answer

7 0
3 years ago
Read 2 more answers
Someone help me please
gogolik [260]

x/5 = 6/15
15x = 30
    x = 2

answer
x = 2 ft

y/10 = 6/15
15y = 60
y = 4

answer
y = 4 ft


3 0
3 years ago
Read 2 more answers
What happens to the width of a confidence interval for a population mean if the level of confidence is increased without changin
natulia [17]

Answer: If the level of confidence is increased without changing the sample size then<em> </em><u><em>The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.</em></u>

where;

<em>Margin of error = Critical value × Standard deviation</em>

<em>Here, it can be duly noted that Margin of error has a positive relation with critical value, i.e </em><u><em>The margin of error will decrease because the critical value will decrease.</em></u>

<u><em>whereas;</em></u>

The confidence interval is  <em>the value  ±  the margin of error.</em>

<em>Therefore, </em><u><em>the decreased margin of error will cause the confidence interval to be narrower.</em></u>

7 0
3 years ago
What are the constants in this expression?<br> -10.6+9\10+2\5m-2.4n+3m
Annette [7]
-10.6, and 9/10, are the constants
8 0
3 years ago
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