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3 years ago

Find the exponential function f(x)=Ca^x whose graph goes through the points (0,4) and (3,32).

1 answer:

8 0

We are given the exponential expression f(x) = Ca^x that should pass through the points (0,4) and (3,32). In this case, we first substitute the first point, (0,4) to the function to yield 4 = Ca ^0; hence Ca is equal to 4. The final expression hence is f(x) = 4^x

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Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6

kirill [66]

Answer:

Option (a) is correct.

The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Step-by-step explanation:

Given : Equation $12x^3-5x=2x^2+x+6$

We have to construct a system of equations that can be used to find the roots of the equation $12x^3-5x=2x^2+x+6$

Consider the given equation $12x^3-5x=2x^2+x+6$

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation $12x^3-5x=2x^2+x+6$

becomes,

$12x^3-5x=y=2x^2+x+6$

Thus, The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Option (a) is correct.

8 0

3 years ago

Read 2 more answers

Which number is closest to - 102 (square root)?<br> A. -11.5<br> B. -10.0<br> C. -9.7<br> D. -11.1

andre [41]

Answer:

B. -10.0

Step-by-step explanation:

-10.0² = -100

thus= -10.0 is the closest to -102 (square root)

3 0

3 years ago

Read 2 more answers

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first

Svetlanka [38]

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X Given Predicted Residual value

1 3.5 4.06 -0.56

2 2.3 2.09 0.21

3 1.1 0.12 0.98

4 2.2 -1.85 4.05

5 -4.1 -3.82 -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224

5 0

2 years ago

If you have the following equation; 4x - 4.5 = 10.73x + 5.7 + 7x, what would you multiply each term by to get rid of the decimal

posledela

Answer:

100

Step-by-step explanation:

You are given the equation

$4x-4.5=10.73+5.7+7x$

There are 5 coefficients:

$4, \ -4.5,\ 10.73,\ 5.7,\ 7$

Two of them are integers

$4,\ 7$

two of them are decimals with one digit after point

$-4.5,\ 5.7$

and one is a decimal with two digits after point

$10.73$

To get rid of fractions, we have to get rid of digits after point. The maximum number of digits after point is 2, then we have to multiply the equation by 100:

$400x-450=1,073x+570+700x$