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2 years ago

If f(x)=x⁴ + 3x³ - x² + 6, find f(-3)

Mathematics

1 answer:

sineoko [7]2 years ago

3 0

Answer:

3x^{3} -66

Step-by-step explanation:

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PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

3 years ago

What is the 32nd term of 311, 305, 299

nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

$a_n = a_1 + (n - 1)d$

To find $d$ (the common difference) we can simply subtract one of the terms by the last, for example:

$d = 299 - 305 \\d = -6 \\$

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

$d = 305 - 311\\d = -6$

We also have to know that $a_1$ stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

$a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503$

Good luck!

4 0

3 years ago

Read 2 more answers

Solve the compound inequality: 3≤6−3x<15

DerKrebs [107]

solve 3≤−3x+6<153≤−3x+6<15

Answer: (−3,1](−3,1]

Approximate Form: (−3,1]

4 0

3 years ago

Write 3x 3x 3x 3 x 3 using exponents

Ahat [919]

$3\cdot3\cdot3\cdot3\cdot3=3^5$

5 0

3 years ago

Please explain this. I don't get what it means by an equal difference over an equal interval!!!

zzz [600]

I, only. The first situation is a linear function, growing the same amount every day. (Constant slope) The other two are exponential functions with the amount changing from interval to interval. Even if the percentage remains the same.

5 0

3 years ago

If f(x)=x⁴ + 3x³ - x² + 6, find f(-3)​

If f(x)=x⁴ + 3x³ - x² + 6, find f(-3)