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stira [4]
3 years ago
6

–4k + 5 ≤ 21 i need help please

Mathematics
2 answers:
Allushta [10]3 years ago
6 0
Answer :
inequality form: k ≥ -4
OR
interval form: [-4, ∞)

Alexandra [31]3 years ago
6 0

Answer:

We conclude that:

-4k+5\le \:21\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The number line graph of the solution is also attached below.

Step-by-step explanation:

Given the equation

-4k+5\le \:21

Subtract 5 from both sides

-4k+5-5\le \:21-5

Simplify

-4k\le \:16

Multiply both sides by -1 (reverse the inequality)

\left(-4k\right)\left(-1\right)\ge \:16\left(-1\right)

Simplify

4k\ge \:-16

Divide both sides by 4

\frac{4k}{4}\ge \frac{-16}{4}

Simplify

k\ge \:-4

Therefore, we conclude that:

-4k+5\le \:21\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The number line graph of the solution is also attached below.

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What is the answer to:
velikii [3]
Weird way to write it but alright! (Sideways) 

19pq^-2 x 5pq^6 = ?

These problems are pretty much single operations between each of the variables / constants. 

So it's like this: 

(19*5)(p*p)(q^-2*q^6) = ?

19*5 is 95.

For p*p remember that when two variables multiply there given powers add. In the case where the powers are not shown (like in the case of p*p) they are always assumed to be 1. So what is 1+1? 2. 

p*p is p^2

For q^-2*q^6 it is the same deal with the previous problem. So now the problem looks like this: 

-2 + 6 = 4 
(The two is negative, because the power is negative 2) 

So, q^4. 

Our final answer is all of the combined.... like a so: 

95p^2q^4
3 0
3 years ago
A flashlight is projecting a triangle onto a wall, as shown below.
zavuch27 [327]

Answer:

Hence the correct option is 3rd option. 40

Step-by-step explanation:

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2 years ago
Find the angle measures in the regular polygon.
DIA [1.3K]

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The quotient of nine less than 3 times a number and four is 21how to translate into a sentence
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Hello,

Let's assume n the number searched.

nine less 3 times n is written 9-3n
 
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