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yan [13]
3 years ago
6

Which equation is represented by the graph below?

Mathematics
2 answers:
kykrilka [37]3 years ago
6 0

Answer: Third option.

Step-by-step explanation:

Observe that the graph tends to zero when x and "y" tends to infinite when x>0

The function y=lnx is not defined for values of "x" less than zero, therefore the equations of the options 1 and 2 do not represent the graph attached.

Observe that the function cuts the y-axis at y=1, while the function y=e^x+1 cuts the y-axis at y=2, therefore the equation of the last option does not represent that graph.

Finally, the equation that represents the graph is:

y=e^x

Papessa [141]3 years ago
3 0

For this case we discard options A and B, since by definition, the graph does not correspond to the function of the Neperian logarithm.

We tested option C:

y = e ^ x

Doing x = 0we have:

y = e ^ 0

Every number raised to zero power is 1.

So, we have:

y = 1

We have the point (0,1)

If we try option D:

y = e ^ x + 1

Doing x = 0 we have:

y = e ^ 0 + 1\\y = 1 + 1\\y = 2

We have the point (0,2)

So, we note that the correct option is option C

ANswer:

Option C

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What are the intercepts of 2x+5y-4z=40
statuscvo [17]
In order to find x-axis interception coordinates you need to set other two variables (y and z) to zero and solve the remaining equation.

So the following simple equations need to be solved:
2x = 40
5y = 40
-4z = 40

It intercepts x-axis at coordinates (20;0;0), y-axis at (0;8;0) and z-axis at (0;0;-10).
7 0
3 years ago
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Căn 84 bình phương trừ 37 bình phương chia 47
BlackZzzverrR [31]

Answer:

\sqrt{84^{2} } -37^{2} /47=257 9/47

Step-by-step explanation:

3 0
3 years ago
June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one
inysia [295]

Answer:

$34

Step-by-step explanation:

I'd work backwards.

For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)

m = 1/2m + 3

1/2m = 3

m = 6

For the second book: (let n = money before book 2)

n - m (money left after book 2) = 1/2n + 2

1/2n +2 is money used up for book, which is the same as n-m.

n = 1/2n + 2 + m

1/2n = 2 + m = 2 + 6

1/2n =8

n = 16

For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):

o - n = 1/2o + 1

o = 1/2o + n + 1 = 1/2o + 16 + 1

1/2o = 17

o = 34

Check!

Spent 17 (half 34) + 1 on book 1

16 left

Spent 8 (half 16) +2 on book 2

6 left

Spent 3 (half 6) + 3 on book 3

0 left

4 0
3 years ago
Y = -4x + 8<br> Y=3/5x - 6/5
VladimirAG [237]

Answer:

x=2 and y=0

Step-by-step explanation:

Rewrite equations:

y=−4x+8;y=

3

5

x+

−6

5

Step: Solvey=−4x+8for y:

y=−4x+8

Step: Substitute−4x+8foryiny=

3

5

x+

−6

5

:

y=

3

5

x+

−6

5

−4x+8=

3

5

x+

−6

5

−4x+8+

−3

5

x=

3

5

x+

−6

5

+

−3

5

x(Add (-3)/5x to both sides)

−23

5

x+8=

−6

5

−23

5

x+8+−8=

−6

5

+−8(Add -8 to both sides)

−23

5

x=

−46

5

−23

5

x

−23

5

=

−46

5

−23

5

(Divide both sides by (-23)/5)

x=2

Step: Substitute2forxiny=−4x+8:

y=−4x+8

y=(−4)(2)+8

y=0(Simplify both sides of the equation)

5 0
3 years ago
The value of x that satisfies the equation 4/3=x+10/15
kenny6666 [7]

For this case we must find the value of "x" that meets the following equation:

\frac {4} {3} = x + \frac {10} {15}

We subtract \frac {10} {15} on both sides of the equation:

\frac {4} {3} - \frac {10} {15} = x\\\frac {15 * 4-3 * 10} {3 * 15} = x\\\frac {60-30} {45} = x\\- \frac {30} {45} = x

We simplify:

x =\frac {6} {9}=\frac{2}{3}

Finally, x =\frac {2} {3}

Answer:

x =\frac {2} {3}

8 0
3 years ago
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