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Korvikt [17]
2 years ago
11

a 23 centimeter piece of rope is cut into two pieces. If one piece is z centimeter's long, express the other length as an algebr

aic expression in z
Mathematics
1 answer:
olga2289 [7]2 years ago
6 0

Answer:

23 - z

Step-by-step explanation:

Given

Length =23cm

One\ Piece = z

Required

Derive an expression for the second piece

Represent the second piece with x,

So, we have:

x + z = 23cm

x + z = 23

Subtract z from both sides

x + z - z = 23 -z

x = 23 -z

Hence:

An expression for the second piece is 23 - z

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Which product will be positive?
Sladkaya [172]

Answer:

-7 × (-4) will have a positive product.

Step-by-step explanation:

product of the two number are positive only if the two numbers have the same sign either both (+) or both (-).

and -7 × (-4) = 28.

here 28 is positive.

6 0
3 years ago
Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14
fredd [130]

Answer:

see explanation

Step-by-step explanation:

In an arithmetic sequence the common difference d is

d = a₂ - a₁ = 10 - 8 = 2

To obtain the next term in the sequence add d to the previous term, that is

a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2, thus

a_{n} = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

5 0
3 years ago
Answer this question to get marked as brainliest!!!!!!
Law Incorporation [45]

Answer:

8x^5

Step-by-step explanation:

4x³×2x²

=4×2x³+²

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5 0
3 years ago
Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest
Stolb23 [73]

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

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a. 4h(x)

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= 2x+7-x^2+4

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= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

7 0
3 years ago
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