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SSSSS [86.1K]
3 years ago
15

Which of the following is a one-to-one function?

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:B

Step-by-step explanation:

Individual value of x gives only one certain value of f(x)

2 different value of x will not result in same value of f(x)

Thus it is one-one

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SYSTEM OF LINEAR EQUATIONS
Effectus [21]

Answer:

Step-by-step explanation:

x-y=11

2x+y=19

---------------

x=y+11

2(y+11)+y=19

2y+22+y=19

3y+22=19

3y=19-22

3y=-3

y=-3/3

y=-1

x-(-1)=11

x+1=11

x=11-1

x=10

Answer: x=10, y=-1. (10, -1).

-----------------------------------------

-6x+5y=1

6x+4y=-10

-------------------

9y=-9

y=-9/9

y=-1

6x+4(-1)=-10

6x-4=-10

6x=-10+4

6x=-6

x=-6/6

x=-1

Answer: x=-1, y=-1. (-1, -1).

------------------------------------

2x+9y=25

-4x-9y=-23

-------------------

-2x=2

x=2/-2

x=-1

2(-1)+9y=25

-2+9y=25

9y=25-(-2)

9y=25+2

9y=27

y=27/9

y=3

Answer: x=-1, y=3. (-1, 3).

4 0
3 years ago
Read 2 more answers
Find an equation for the line that passes through the points (1. - 4) and (-5.4).
DIA [1.3K]

Answer:

y=-4/3x-8/3

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3

y=-4/3x + b

Substituting,

-4=-4/3+b

-12/3+4/3=b

b=-8/3

y=-4/3x-8/3

5 0
2 years ago
A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​
sashaice [31]

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

4 0
3 years ago
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
Veronika [31]

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

or

h=-1 means translate left one unit

k=5 means translate up 5 units.  

Choose the first option: left 1 unit, up 5 units

3 0
3 years ago
Read 2 more answers
The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union
Sloan [31]

Answer:

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America.

Why do phase changes occur?

1. Compare: Set the Water temperature to 0 °C and click Play. Observe the water molecules.

Click Reset, set the Water temperature to 100 °C, and click Play again.

What do you notice? The water molecules are moving slightly faster at 100 °C than at 0 °C.

[Note: This difference may be too small to observe easily.]

2. Observe: Click Reset. The mean molecular speed of the water molecules is displayed

below the container. Set the Water temperature to 0 °C and Add/remove heat energy to

400 J/s. Click Play.

A. How does the mean speed of the water molecules change as they are heated?

The average speed of water molecules increases as they are heated.

B. Does the mean molecular speed change as much as the temperature as the

water heats up? Explain.

Sample answer: For each degree of temperature change, the mean molecular

speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about

17% faster than at 0 °C.

3. Explain: How is temperature related to the motions of molecules?

The higher the temperature, the faster the molecules move.

4. Observe: Click Reset. Set the Water temperature to 20 °C and the Ice volume to 50 cc.

Set Add/remove heat energy to 0 J/s. Click Play. How do the molecules in the liquid

interact with the molecules in the solid?

The molecules of the liquid collide with the molecules of solid, gradually breaking the bonds

between the molecules in the solid and causing the ice to melt.

Step-by-step explanation:

7 0
2 years ago
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