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2 years ago

–4k + 5 ≤ 21 i need help please

Mathematics

2 answers:

Allushta [10]2 years ago

6 0

Answer :
inequality form: k ≥ -4
OR
interval form: [-4, ∞)

Alexandra [31]2 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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Using the slope concept, it is found that:

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<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

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2 years ago

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2 years ago

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2 years ago

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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

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$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

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$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

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2 years ago

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Step-by-step explanation:

According to the definition of mutually exclusive events,

The events which can not occur together and probability of them occurring together is 0 are known as mutually exclusive events.

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The second statement contradict the question about being mutually exclusive events.

The third statement also is a implication that if one event occurs then other does or does not occur.

The last statement is correct one that conforms with the question and obeys the definition of mutually exclusive events.

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2 years ago