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Nezavi [6.7K]
3 years ago
8

Describe what happens to the exponential function when the value of "k" is positive. *

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

Step-by-step explanation:It isn’t. There are really 4 different versions of the exponential function. Positive (like the growth of money invested at 5%), negative (like the US debt constantly becoming more negative), positive decay (like the half life of a radioactive element), or negative decay ( pay half your loan amount in year 1, 1/4 in year two, 1/8 in year three, you in theory will never pay your loan completely but the debt is growing closer to zero.

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Mr. Tanaka is 35 years old, and his son is 5.  In how many years will Mr. Tanaka be exactly three times as old as his son?( show
Kisachek [45]

Answer:

10 years.

Step-by-step explanation:

Present age of Mr. Tanaka = 35 years

Present age of his son = 5 years

Now let the number of years be x. As after x years both of their age will increased by x years, therefore

After x years age of Mr. Tanaka = 35 + x

After x years age of his son = 5 + x

According to question,

Mr.Tanaka's age after x years = 3 (His son's age after x years)

35 + x = 3 (5 + x)

Further solving,

35 + x = 15 + 3x

3x - x = 35 - 15

2x = 20

x = 10

Therefore after 10 years Mr. Tanaka's age will be exactly three times as old as his son. As after 10 years Mr. tanaka's age will be 45 and his son's age will be 15.

7 0
4 years ago
In triangle xyz, z2 = x2 + y2. triangle xyz has sides x, qy, z opposite to the corresponding vertices x, y, z which equation is
Mrac [35]

{\text{In triangle XYZ}},{\text{ square of one side is equal to the sum of squares of other two sides, }} \hfill \\ {\text{,i}}{\text{.e}}{\text{., if triangle XYZ has sides of measure }}x\,{\text{unit, }}y\,{\text{unit and }}z\,{\text{unit}} \hfill \\ {\text{opposite to the corresponding vertices }}X,{\text{ }}Y\,{\text{and }}Z\,{\text{respectively, then}} \hfill \\ {z^2} = {x^2} + {y^2} \hfill \\ {\text{Since, the given triangle satisfying the condition of Pythagoras theorem, }} \hfill \\{\text{thus, the given triangle would be a right angled triangle and thereby the measure}} \hfill \\{\text{of one angle of triangle will be a right angle say at vertex Z}}{\text{.}} \hfill \\\Rightarrow m\left( {\angle Z} \right) = 90^\circ  \hfill \\\Rightarrow m\left( {\angle XZY} \right) = 90^\circ  \hfill \\{\text{Thus,the measure of angle XZY is equal to }}90{\text{ }}degrees. \hfill \\

6 0
3 years ago
Read 2 more answers
I need help with this one math question please!
den301095 [7]

Answer:

see explanation

Step-by-step explanation:

Assuming the fractions are being multiplied

Factorise the denominators of both fractions

x² - 3x - 10 = (x - 5)(x + 2)

x² + x - 12 = (x + 4)(x - 3)

The product can now be expressed as

\frac{x-5}{(x-5)(x+2)} × \frac{x+2}{(x+4)(x-3)}

Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving

\frac{1}{(x+4)(x-3)} = \frac{1}{x^2+x-12}

3 0
3 years ago
2х + Зу = 9
umka2103 [35]

Answer:

3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 9 → (1)

- 2x + 2y = 6 → (2)

Adding the 2 equations term by term will eliminate x

(2x - 2x) + (3y + 2y) = (9 + 6), that is

5y = 15 ( divide both sides by 5 )

y = 3

5 0
4 years ago
(x) 3 5 7 <br> (y) 7 11 15 <br><br> Find x, when y = 21
solniwko [45]

Answer:

x = 10

Step-by-step explanation:

y = 2x + 1

21 = 2x + 1

21 - 1 = 2x

2x = 20

x = 10

3 0
3 years ago
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