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Leya [2.2K]
3 years ago
15

Are these correct? If not help me please??

Mathematics
2 answers:
Verizon [17]3 years ago
3 0

Answer: no, no, yes, no, yes, yes

Step-by-step explanation:

x + 1, 2x, these are not equivalent

no

10x, 5(x+5)

5(x+5) distribute the 5 to get 5(x+5) = 5x + 25

5x + 25 is not equal to 10x, so no

no

1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same

yes

2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not

no

15x -1, 3(x+4x) - (3-2)

3(x+4x) - (3-2) combine like terms

3(5x) - (1) multiply through parentheses

= 15x -1

so 15x - 1 = 3(x+4x) - (3-2), these are equivalent

yes

1/2 * (4x-2),2x-1

1/2 * (4x-2) multiply through parentheses to get

2x - 1

so these two are equivalent

yes

Roman55 [17]3 years ago
3 0

The answer #2 is no and the number #5 is yes.

#2 is no, as you cannot add or subtract if they are not similar. Since in the second part the answer is 5x + 25.

#5 is yes because when there is a subtraction in front of a parenthesis, expressions within the parenthesis must change their sign.

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The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th
siniylev [52]

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

f(x) = x + 2

also

Number of exports  = 2(number of month) + 1

so

g(x) = 2x - 1

Therefore, number of imports equals the number of month plus one. i.e. f(x) = x + 2, which is a linear function.

If we compare it with slope-intercept form of the line

y=mx+b

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. g(x) = 2x - 1

Here,

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3 0
3 years ago
Find the A.P whose second term is 12 and 7th term exceeds the 4th by 15
Art [367]

The 2nd term exists 12 and 7th term exceeds the 4th by 15 exists AP : 7,12,17,....

<h3>How to estimate the arithmetic progression?</h3>

Given : The second term exists 12th and the 7th term exceeds the 4th term by 15

The formula of the nth term :

$a_{n}=a+(n-1) d

Where d exists a common difference

n be the number of terms

a be the first term

Substitute the value of n = 2

$a_{2}=a+(2-1) d=a+d

Let, the second term exists 12

So, a + d = 12 ..........(1)

Substitute the value of n = 7

$a_{7}=a+(7-1) d=a+6 d

Substitute n = 4

$a_{4}=a+(4-1) d=a+3 d

We are given that the 7th term exceeds the 4th term by 15

So, a+6d-a-3d = 15

3d = 15

d = 5

Substitute the value of d in (1)

So, a+5 = 12

a = 12-5

a = 7

AP : a,a+d,a+2d,.... = 5, 7+5, 7+2(5),....=7,12,17,....

Therefore, AP : 7,12,17,....

To learn more about arithmetic progression refer to:

brainly.com/question/24191546

#SPJ9

4 0
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