Find the sum of 2/3 and it’s additive inverse

Mathematics

1 answer:

Rus_ich [418]1 year ago

5 0

Answer:

Step-by-step explanation:

2/3 additive inverse is 2/3

-2/3+2/3 is neutral = zero

-2/3+2/3 = 0

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In a class, every student knows French or German (or both). 15 students know French, and 17 students know German. What is the la

Marina CMI [18]

Solution:

we are given that

In a class, every student knows French or German (or both).

15 students know French, and 17 students know German.

Suppose there are x student who knows both French and German.

Then Total number of student in the class will be $(15+17-x)=32-x$

But to guess the largest possible number of student in the class we can assume x=0

Hence the largest Possible number of Student in the class=32

6 0

3 years ago

Im being timed which number line represents the solution set for the inequality?

Ludmilka [50]

Answer:

The solution is:

$-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}$

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

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

Step-by-step explanation:

Given the inequality

$-\frac{1}{2}x\ge 4$

Let us solve the inequality

$-\frac{1}{2}x\ge 4$

Multiply both sides by -1 (reverse the inequality)

$\left(-\frac{1}{2}x\right)\left(-1\right)\le \:4\left(-1\right)$

Simplify

$\frac{1}{2}x\le \:-4$

Multiply both sides by 2

$2\cdot \frac{1}{2}x\le \:2\left(-4\right)$

Simplify

$x\le \:-8$

Thus, the solution is:

$-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}$

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

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.