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3 years ago

4. Three consecutive even integers are such that the sum of the smallest and 3 times the

Mathematics

1 answer:

Leto [7]3 years ago

4 0

Answer:

Integers are:

14, 16, 18

Step-by-step explanation:

Let three consecutive even integers be:

x (smallest)

x + 2 (second)

x + 4 (third)

According to given conditions:

x + 3(x + 2) = 30+ 2(x + 4)

By simplifying:

x + 3x + 6 = 30 + 2x + 4

By adding like terms

4x + 6 = 34 + 2x

Now taking terms with x on left side and constants on right

4x - 2x = 34 - 6 (sign of transferred terms will be changed)

2x = 28

Dividing both sides with 2

x = 28/2

x = 14

So the consecutive integers will be:

x = 14

x + 2 = 14 + 2= 16

x + 4 = 14 + 4 = 18

I hope it will help you!

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Show that (f o g)(x) = (g o f)(x) = x

cluponka [151]

Answer:

$- \frac{2[1 - x]}{3} = g[f(x)] \\ \\ \frac{3x}{2 - x} = f[g(x)]$

Step-by-step explanation:

They are not.

For the g[f(x)] function, you substitute ³/ₓ ₋ ₁ from the f(x) function in for x in the g(x) function to get this:

$\frac{2}{ \frac{3}{x - 1}}$

Then, you bring x - 1 to the top while changing the expression to its conjugate [same expressions with opposite symbols]:

$- \frac{2[1 - x]}{3}$

You could also do this [attaching another negative would make that positive].

For the f[g(x)] function, ²/ₓ from the g(x) function for x in the f(x) function to get this:

$\frac{3}{ \frac{2}{x} - 1}$

Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:

$\frac{3x}{2 - x}$

When this happens, x leaves the two and gets attached to the three, and 1 gets an x attached to it.

I am joyous to assist you anytime.

6 0

3 years ago

Bruhhh help me please

zheka24 [161]

Answer:

A, (-3,0)

Step-by-step explanation:

Just plug that one in and it works out.

5*-3+2*0= -15

2*-3-2*0= -6

7 0

4 years ago

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Order from greatest to least:show your work❗️ 12,-4,8,-3,0

Aneli [31]

The answer would be 12, 8, 0, -3, -4.

The answer is that because 12 is a positive number so that's higher than negative, 8 goes second because its positive and higher than the others, 0 is third because negatives numbers are LOWER than 0, not higher, -3 is next because higher negative numbers are always lower, not greater than smaller numbers because -8 is LOWER than -4 since its on the left of a number line.

6 0

3 years ago

Need help ASAP.!!!!!

exis [7]

I think a rectangular prism.

Hope this helped.

7 0

3 years ago

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HELP THIS IS DUE SOON PLEASEEEEEEEEEEEE HELPPPPPPPPPP

muminat

Answer:

6x^2 + 4x

Step-by-step explanation:

g(x) + f(x)

= -8x^2 - 3x + 5 + 2x^2 + 7x - 5

= -8x^2 + 2x^2 - 3x + 7x + 5 - 5

= - 6x^2 + 4x

4 0

3 years ago