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DedPeter [7]
3 years ago
12

If 0 < x < 1 and 0 < y < 1, which of the following must be true?

Mathematics
1 answer:
katovenus [111]3 years ago
3 0
0<x<1 and 0<y<1

x>0 so x is positive and y>0 so y is also positive.
When you multiply two positive numbers you always get a positive number, so the product of x and y must be positive, or greater than 0.
xy>0 - it must be true
xy<0 - it can't be true
Also when you divide a positive number by a positive number you always get a positive number, so the quotient of x and y must be positive.
x/y<0 - it can't be true
D and E can be true, but don't have to. It depends on the values of x and y. If x>y, then x-y>0 is true and x-y<0 isn't true; if x<y, then x-y>0 isn't true and x-y<0 is true.

Therefore, only A <u>must</u> be true.
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Find the difference between and 8/15 - -(2/3). Show all calculations in your final answer please!! :)
sasho [114]

Answer:

\boxed{\dfrac{34}{15}}

Step-by-step explanation:

\text{Use }\LaTeX (ノ◕ヮ◕)ノ*:・゚✧

\dfrac{8}{5} - - \left(\dfrac{2}{3}\right)

\dfrac{8}{5} - \left[-\dfrac{2}{3}\right]

\dfrac{8}{5} +\dfrac{2}{3}

\dfrac{8(3)}{5(3)} +\dfrac{2(5)}{3(5)}

\dfrac{24}{15} +\dfrac{10}{15}

\boxed{\dfrac{34}{15}}

3 0
3 years ago
Read 2 more answers
Identify the type of function represented by each graph​
mario62 [17]

Answer:

13. Linear Function

12. Absolute Value Function

11. Quadratic Function

10. Constant and Linear Function

Step-by-step explanation:

13. This graph is in Slope-Intercept Form, y = mx + b. The equation of this line is y = x + 1.

12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".

11. This graph is in the shape of a parabola, so it is considered "Quadratic".

10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of y = mx + b, and the equation of this line is y = -2, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.

I am joyous to assist you anytime.

6 0
3 years ago
PLEASE HELP ASAP
Igoryamba

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

5 0
3 years ago
Y intercept of 3x+5y=-30
ELEN [110]
Substitute x=0
5y=-30
y=-6 is the y intercept
4 0
2 years ago
Name the denominator in:9
Liono4ka [1.6K]

Answer:

1

Step-by-step explanation:

The denominator in 9 is one. This also applies for all numbers without a denominator.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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