All categories

3 years ago

If x => y and y => z, which statement must be true?

Mathematics

1 answer:

Kruka [31]3 years ago

6 0

The operator $\geq$ is transitive, which means exactly that

$x \geq y,\quad y\geq z \implies x \geq z$

That's the only thing you can deduce from your statement.

You might be interested in

Why must the value of the sine ratio for an acute angle

Fynjy0 [20]

Answer:

Because of the range of the sine function.

Step-by-step explanation:

The reason why the value of the sine ratio for an acute angle

of a right triangle must always be a positive value less

than 1 has to do with the the range of the sine function.

The range of the sine function is

$- 1 \leqslant y \leqslant 1$

But in the first quadrant all y-values are positive and acute angles are less than 90°.

Therefore the range will now be 0≤y<1 for acute angles.

4 0

3 years ago

3) If the speed limit on a highway in the UK is 70 miles per hour and

Afina-wow [57]

Step-by-step explanation:

for this we need to know the conversion rate between miles and kilometers :

1 mile = 1.60934 km

which means

1 km = 0.621371 miles

so,

70 m/h = 70×1.60934 km/h = 112.6538 km/h

compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.

the difference is

7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h

4 0

2 years ago

When planning road development, the road commission estimates the future population using the function represented in the table,

Leokris [45]

Considering that 160,000 is the y-intercept of the function, it's significance is given by:

the initial population at the time of the estimation.

<h3>What is the y-intercept of a function f(x)?</h3>

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:

the initial population at the time of the estimation.

More can be learned about the y-intercept of a function at brainly.com/question/27979095

#SPJ1

7 0

2 years ago

Graph the image of trapezoid ABCD after a translation 3 units left .

Kay [80]

Answer:

A: (-8, -1)

B: (2, -1)

C: (2, 5)

D: (-6, 5)

Step-by-step explanation:

If the trapezoid ABCD was able to translate 3 units to the left, we'll only need to calculate for all the input values!

Trapezoid in present:

A - -5

B - 5

C - 5

D - -3

Now move the units to the left!

Trapezoid in the future:

A - -8

B - 2

C - 2

D - -6

Then add the y values into the units

A: (-8, -1)

B: (2, -1)

C: (2, 5)

D: (-6, 5)

*************************************************

7 0

3 years ago

Help with this question ??

Musya8 [376]

Answer:

-2.6

Step-by-step explanation:

5x - 5 >/ - 18

5x >/ -13

x>/ -13/5

x>/ -2.6

3 0

3 years ago