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raketka [301]
2 years ago
7

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul

tiplicative rate of change of the function?
Mathematics
2 answers:
Free_Kalibri [48]2 years ago
8 0
F'x= d (2.5x)/dx
= 2.5x. ln5 ( rate of change)
Sedaia [141]2 years ago
5 0
<h2>Answer:</h2>

The multiplicative rate of change of the function is:

                                5

<h2>Step-by-step explanation:</h2>

We are given a function f(x) in terms of the variable x as:

       f(x)=2\cdot 5^x

The function passes through:

                 (1, 10), (2, 50), and (3, 250).

We know that the multiplicative rate of change of the exponential function :

          f(x)=ab^x

is b.

Here we have:   a=2 and b=5

(i.e. there is a multiplication by a fixed number i.e. 5 as compared to the preceding value )

  Hence, the multiplicative rate of change is:

                             5

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what variable expression should you subtract from both sides of the equation so that you are left with no variables on the right
Scorpion4ik [409]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

What variable expression should you subtract from both sides of the equation so that you are left with no variables on the right-hand side?

The variable expression is: subtract 5x from both sides so that you are left with no variables on the right-hand side

\begin{gathered} 6x\text{ - 10 = 5x + 15} \\ \text{Subtract 5 x from both sides, we have that:} \\ 6x\text{ - 5x - 10 = 5x - 5x + 15} \\ x\text{ - 10 = 15} \\ \text{Now, add 10 to both sides, we have that:} \\ x\text{ - 10 + 10 = 15 + 10} \\ x\text{ = 25} \\ \text{check:} \\ 6x\text{ - 10 = 5x + 15} \\ \sin ce,\text{ x = 25 , we have that:} \\ 6(25)\text{ - 10 = 5(25) + 15 } \\ 150\text{ - 10 = 125+ 15= 140 ( COR}\R ECT) \end{gathered}

CONCLUSION:

The final answer is:

x\text{ = 25}

​

8 0
9 months ago
A scuba diver uses negative numbers to represent her depths below sea level. She was at a depth of -1.5 meters. A few minutes la
Nataliya [291]

Answer:

a). -5.7 meters or 5.7 meters below sea level

b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.

Step-by-step explanation:

a). Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7

Initial depth=-1.5 represented by a negative number since she is below sea level, meaning her reference point(point 0) is the sea level. The more she moves below the sea level the deeper she goes and the more her depth becomes negative

Deeper increment=-4.1, she further moves deeper from her initial depth(-1.5) by a value of -4.1. In order to find her final depth, we have to sum all the depths she covered from her first reference point which is the see level.

The expression is;

Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7 meters

Her final depth=-5.7 meters

b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.

7 0
2 years ago
Which expression is equivalent to 7^3 ⋅ 7^−5? A.7^2 B.7^7 C.1 over 7 to the 2nd power D.1 over 7 to the 7th power
stepladder [879]
7^3\cdot7^{-5}=7^{-2}=\dfrac{1}{7^2}
4 0
3 years ago
Simplify.<br><br> |–4.1| = <br><br> Thanks!
Alisiya [41]

|-4.1|

= 4.1


I hope that's help !

5 0
3 years ago
How can i find the distance of AM.
ozzi

Answer:

AM=5

Step-by-step explanation:

AM=MC

3y-4=2y-1

3y-2y-4=-1

+4            +4

y=3

so

AM=3*3-4=9-4=5

7 0
2 years ago
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