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miskamm [114]
3 years ago
15

The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. mc018-1.jpg How many roots of f(x) are rational numbers?

Mathematics
2 answers:
drek231 [11]3 years ago
8 0
There are three rational roots
BaLLatris [955]3 years ago
8 0

Answer: there are 3 root of f(x)  which are rational numbers (2,0), (3,0) and (4.5,0)

Explanation:

Rational numbers are those that can be written in the form of p/q: q should not be equal to zero

since, the graph cuts x-axis at three points but rational are two

all integers are rational numbers

attached is the graph please have a look at it

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(2x + 8) (3x + 17) solve for x
kenny6666 [7]

Answer:

x = 22.66

Step-by-step explanation:

3 0
3 years ago
Please help me out with this guys. No Links Please!
Sergio [31]
I think it is 29%? I am not 100% sure though...
5 0
2 years ago
The polynomial f(x) is written in factored form:
Ray Of Light [21]

Set each set of parentheses to 0 and solve for x.

X—6 = 0

X = 6

X + 5 = 0

X = -5

X-9 = 0

X = 9

The zeros are 6, -5, 9

7 0
3 years ago
Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0
3 years ago
What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56
AnnyKZ [126]

Answer:

a_{24} = 146

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

a_{n} =a_{1} + (n-1)d

We have to find 24th term, therefore n = 24

a_{1} is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first


a9 = 56

Using the above given formula for finding d

put n = 9,  a9= 56

a_{9} =a_{1}+ (9-1)d

56 = 8 + 8d

8d = 48

d = 6


Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

a_{n} =a_{1}+ (n-1)d

a_{24} = 8 + (24-1)6

a_{24} = 8 + 138

a_{24} = 146



5 0
3 years ago
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