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3 years ago

True or False? k = 3 over 4 is a solution to the inequality 12k + 2 < 12.

Mathematics

2 answers:

Kaylis [27]3 years ago

4 0

The answer is false
...................................

Finger [1]3 years ago

4 0

Answer: The answer is true.

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Please help thanks!!

Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

√8 x √3 = √24

Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:

12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6

In short, the answer is 24√6, or the first option.

4 0

3 years ago

(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$

5 0

3 years ago

PLEASE HELP!!!!

tresset_1 [31]

Answer:

Step-by-step explanation:

y_2 - y_1 / x_2 - x _1

4 - 2 / 3 - (-1) = 2/4 = 1/2

y +4 = 1/2 (x + 3) distributive property

y + 4 = 1/2x + 1.5

y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)

therefore your equation is y = 1/2x - 5/2

hope this helps :)

7 0

3 years ago

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many ba

Pepsi [2]

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

8 0

2 years ago

Which of the following is the correct ratio for converting kilograms to grams

Brrunno [24]

Answer:

1000 Grams : 1 Kilogram or 1 Kilogram : 1000 Grams

Step-by-step explanation:

In the metric system the value of a kilogram is solved like:

$Kg = \frac{g}{1000}$

When converting from grams to kilograms, we solve it like:

$g = \frac{kg}{0.0010000}$

Let's take for example:

2 KG is how many grams?

We use the grams to kilograms formula like so:

$g = \frac{2}{0.0010000}$

Then we end up with:

g = 2000

6 0

3 years ago