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Marina CMI [18]
3 years ago
9

Find a function f such that f''() = - 36x² + 302 – 14, f(0) = 9, f(1) = - 1. f(x) =

Mathematics
1 answer:
hjlf3 years ago
5 0

Answer:

−12x³+15x²-14x+9

After getting the integral, we replace the constant by 9

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What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.
S_A_V [24]

Answer:


Step-by-step explanation:

Since log is defined by all positive real  numbers

therefore domain is all  positive real number that is ( 0,∞)

Range is given by real numbers

inverse of the given function is  (10^x)/7

Whose domain is all real numbers and range is all positive real number

And since we know that domain of function and range of its inverse

& range of a function and domain of its inverse is same

which we are getting in the problem

so  answer is justified

6 0
3 years ago
Read 2 more answers
Can anyone help me?!!
sergij07 [2.7K]
Sorry no i cant have a great day tho
6 0
3 years ago
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used
ycow [4]

The set must have a constant additive rate of change.

Answer: Option A.

<u>Explanation:</u>

A function has an additive rate of change if there is a consistent distinction between any two successive information and yield esteems. From the primary table we can watch a consistent distinction of - 6 among the y-values and a steady contrast of 2 among the x-values.

A linear function has a consistent additive rate of change, while a nonlinear capacity doesn't. For a table of qualities to be direct, the needy variable must have a steady pace of progress as the autonomous variable increments by 1.

8 0
2 years ago
Read 2 more answers
-3x+4y<br> greater than equal to 15
QveST [7]
Depending on if you're solving for X or Y:

X less than or equal to 4y/3 -5

Y greater than or equal to 3x/4+15/4
8 0
2 years ago
Match the system of equations on the left with the number of solutions on the right
erastova [34]

Answer:

top to bottom, the answers are b, c, a

Step-by-step explanation:

One way to find the solution to a system of equations is to substitute values in. For the first one,

y=2x+3

y=2x+5,

we can substitute 2x+3 =y into the second equation to get

y=2x+5

2x+3 = 2x+5

subtract 2x from both sides

3 = 5

As 3 is not equal to 5, this is never equal and therefore has no solution

For the second one,

y= 2x+7

y = (-2/3)x + 10

We can plug y=2x+7 into the second equation to get

2x + 7 = y = (-2/3)x + 10

2x + 7 = (-2/3)x + 10

add (2/3)x to both sides to make all x values on one side

2x + (2/3)x + 7  = 10

subtract 7 from both sides to make only x values on one side and only constants on the other

2x + (2/3)x = 3

(6/3)x + (2/3)x = 3

(8/3)x = 3

multiply both sides by 3 to remove a denominator

8x = 9

divide both sides by 8 to isolate x

x=9/8

There is only one value for when the equations are equal, so this has one solution

For the third one

y = x-5

2y = 2x - 10

Plug x-5 = y into the second equation

2 * y= 2*(x-5)

2 * (x-5) = 2x - 10

2x-10 = 2x-10

add 10 to both sides

2x=2x

As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system

6 0
3 years ago
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