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hammer [34]
2 years ago
6

62 = 9z + 17 Solve for Z

Mathematics
1 answer:
Lina20 [59]2 years ago
7 0

Answer : Z = 5

Step-by-step explanation :

62 = 9z + 17

-17 -17

45 = 9z

/9 /9

5 = z

Plug it back in :

62 = 9(5) + 17

62 = 45 + 17

62 = 62

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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
2.952 + 39.24 = <br>A: 42.192<br>B: 68.76<br>C: 6.876<br>D: 687.6<br>E: 36.288<br>F: 42.76​
kirill [66]

Answer:

The answer to this question is A

4 0
3 years ago
Read 2 more answers
You are at a restaurant and the check comes to a total of $76. If you want to leave a
Harrizon [31]
You should pat a total of $90.44
4 0
2 years ago
Please help me with this question I will give brainliest
r-ruslan [8.4K]

Answer:

$13.77

Step-by-step explanation:

To find what one yard would cost you would take the price and divide it by the number of yards. In this case, 1 yard happens to cost $4.59. You then multiply 4.59 times 3 to get 13.77

7 0
2 years ago
Read 2 more answers
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus
Iteru [2.4K]
<span>solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left:     ax - bx - c = d

2) Group the constant terms together:          ax - bx = c + d

3) factor out x:                                             x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
                                                       c+d
</span>           x(a - b) = c + d   =>    x = ---------
                                                       a-b

This shows that the given equation CAN be solved for x, but there is a restriction:  a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).

Where is Victoria's solution?  Please share it if you want to discuss this problem further.  Thank you.

8 0
3 years ago
Read 2 more answers
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