3 years ago

17-(4k-2) larger than or equal to 2 (k+3)

Mathematics

1 answer:

Schach [20]3 years ago

3 0

17 - (4k - 2) ≥ 2 (k + 3)

17 - 4k + 2 ≥ 2k + 6

-4k + 19 ≥ 2k + 6

19 - 6 ≥ 2k + 4k

13 ≥ 6k

13/6 ≥ k

Done!

You might be interested in

if you make a scale drawing of a tree using the scake 5in =27ft uf the tree is 67.5 ft tall how tall is the scale drawing

shtirl [24]

To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in

3 0

3 years ago

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Nataly_w [17]

Answer:

Required logarithmic function is :

$f\left(x\right)=\log_3\left(x\right)$

Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

So we can use logarithmic function as

$\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2$

Hence required logarithmic function is :

$f\left(x\right)=\log_3\left(x\right)$

8 0

3 years ago

Solve for x x/6=10 1) x=10 2) x=60 3) x=4 4) x=16

gregori [183]

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

6 0

2 years ago

Read 2 more answers

Anne had 28 pens, but 23 of them ran out of ink. How many of Anne's pens still have ink?

Damm [24]

5 of Anne’s pens still have ink. Since 23 of the 28 pens ran out, 5 pens are still good to write with.

Hope this helped!

5 0

3 years ago

Read 2 more answers

Find the length of the segment with endpoints of (3,2) and (-3,-6).

MakcuM [25]

The formula of the length of the segment AB:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$
We have:
$A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6$
Substitute:
$|AB|=\sqrt{(-3-3)^2+(-6-2)^2}=\sqrt{(-6)^2+(-8)^2}\\\\=\sqrt{36+64}=\sqrt{100}=10$
Answer: B) 10.

5 0

3 years ago