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2 years ago

What is: k–66≤ – 84 in one-step inequalities?

Mathematics

1 answer:

kykrilka [37]2 years ago

8 0

Answer:

$k\le \:-18$

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: $k-66+66\le \:-84+66$

Finally, you simplify and get: $k\le \:-18$

Hope this helped!

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If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (fºg)(x)?

astra-53 [7]

Answer:

(fog)(x)= 2(2x-3) - 1

(fog)(x)= 4x -6 - 1

(fog)(x)= 4x - 7

Domain of (fog)(x)= 4x-7

(-00,00)

6 0

4 years ago

What is the length of AB

Anettt [7]

Answer:

$\boxed{\boxed{\overline{AB}=16}}$

Step-by-step explanation:

In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.

$\tan \theta=\dfrac{p}{b}=\dfrac{AB}{64}$ --------1

In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

$\cot (90-\theta)=\dfrac{b}{p}=\dfrac{4}{AB}$

As $\cot (90-\theta)=\tan \theta$ , so

$\tan \theta=\dfrac{b}{p}=\dfrac{4}{AB}$ ---------2

From equation 1 and 2,

$\Rightarrow \dfrac{AB}{64}=\dfrac{4}{AB}$

$\Rightarrow AB^2=64\times 4$

$\Rightarrow AB^2=256$

$\Rightarrow AB=\sqrt{256}$

$\Rightarrow AB=16$

5 0

3 years ago

Solve the following problems:

yanalaym [24]

Area of AAFD= 54centimeters squared

4 0

3 years ago

An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. The drain pipe can be used to empty the pool in 34 ho

pav-90 [236]

Answer:

374 hours

Step-by-step explanation:

Filling rate is 1/33
Draining rate is 1/34

<u>The difference is the filling rate with both lines open:</u>

1/33 - 1/34 = 1/1122

The pool is 2/3 full and needs filling the remainder, 1/3.

<u>Time required to fill:</u>

1/3 : 1/1122 = 1122/3 = 374 hours

7 0

3 years ago

Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find t

nekit [7.7K]

Answer:

-48 ÷ 12

Step-by-step explanation:

account balance changed over a year = -$48

In a year, there are 12 months. Above statement can also be written as

account balance changed in 12 months = -$48

we have to find monthly change, so we divide LHS and RHS by 12

account balance changed in 12 /12 months = -$48/12

Thus, account balance changed in 1 months = -$48/12

which is represented option 4 i.e -48 ÷ 12

3 0

4 years ago