The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.
(a) 1/2 is not a possible zero of the function
The function is given as:
[tex]f(x) =x^3 - 5x + \frac 25[/tex]
For a function,
[tex]f(x) = px^n +......q[/tex]
The list of possible roots is:
[tex]Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
Multiply both sides of [tex]f(x) =x^3 - 5x + \frac 25[/tex] by 5
[tex]5f(x) = 5x^3 - 25x + 2[/tex]
So, we have:
[tex]p= 5[/tex]
[tex]q = 2[/tex]
The factors are:
[tex]p =\pm 1, \pm 5[/tex]
[tex]q =\pm 1, \pm 2[/tex]
So, the possible roots are:
[tex]Roots = \pm\frac{1,2}{1,5}[/tex]
Split
[tex]Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}[/tex]
Hence, 1/2 is not a possible zero of the function
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What is the factored form of n^3+512 (please answer) picture provided
[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please someone help, I want to know if I’m correct
Answer:
Yes youre correct
Step-by-step explanation:
help ASAP please PLS
Answer:
-103
Step-by-step explanation:
Just subtract
Answer:
-103
Step-by-step explanation:
You add all the numbers then put the negative sign.
Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =
Answer:
y = -5x - 4
Step-by-step explanation:
yeah-ya............ right?
What is 22.6% of 65
Answer:
14.69
Step-by-step explanation:
22.6% = 0.226
65 × 0.226 = 14.69
What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.
The simplified form of the given expression is [tex]5\sqrt{2}[/tex].
Given expression,
[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].
We have to simplify the above expression.
So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]
First solve for the square root,
[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]
[tex]7\sqrt{2} -2\sqrt{2}[/tex]
[tex]5\sqrt{2}[/tex]
Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].
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Which equation represents the line that is perpendicular to and passes through (-12,6)?.
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope of the lne(x1, y1) is any point on the line.Given the equation y = 3/2x + 1, the slope of the line is 3/5The slope of the line perpendicular is -5/3Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
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How I can apply the distribute property to this question?
14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.
14k + 35 = 2•7k + 5•7 = 7 (2k + 5)
(Remember that the distributive property says a (b + c) = ab + ac.)
22 - (+12) - (-4) + (-6)
Answer:
8
Step-by-step explanation:
+- = --- = ++- = -++ = +22-12+4-6 = 8
What is 100 x (81 + 283) - 67 x 4
Answer: 36132
Step-by-step explanation:
81+283=364
100*364=36400
67*4=268
36400-268=36132
Answer:
Step-by-step explanation:
100*(81+283)-67*5
=36400-268
=36132
What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?
4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?
Answer:
$14.61
Step-by-step explanation:
14.05 * 1.04 = 14.612
which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)
Answer:
Given (-4,4),(0,2),(2,1),(4,-1)
Only any two points are on the same line.
Step-by-step explanation:
You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.
Repost if there are different points in the original problem.
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
Enter the value of :
Answer:49
Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.
a desk costs $145. what is the total cost of 23 desks?
Answer:
145*23=3335$
by multiplying cost by sum of desk
3x+12-6x less than or equal to -9
Answer:
less than, it is the answer
i just need to know if this is correct and if i need to fix anything
Answer:
its correct
Step-by-step explanation:
3c+2=20
c
ok anwer this
Answer:
3c =20-2
3c = 18
c = 18÷3
=6
Answer:
Here is Your answer
Step-by-step explanation:
Hope u Like it
C = 2/17
Plz Mark me As Brainiest
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
I need this points for algebra help please
Answer:
ur mom
Step-by-step explanation:
lol
Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length
Answer: c = 6.5I
Step-by-step explanation:
C = the cost of the fabric
I = the length of the fabric
C : I = 13 : 2
C : I = 32.50 : 5
C : I = 6.5
C = 6.5I
Colleen is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Denver was $220 . Now the cost is $320 . What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
The answer is
1. 45.5% (Airline tickets)
The new price (all together) will be
2. 370.1
Step-by-step explanation:
1.);
Going by 10.
220 + 15.5% = 254.1 (Incorrect, not what were looking for)
220 + 25.5% = 276.1 (Incorrect, not what were looking for)
220 + 35.5% = 298.1 (Incorrect, not what were looking for)
220 + 45.5% = 320.1 (Correct, it's what were looking for, but it's .1 above... I hope this doesn't matter.. Right...?)
2.);
220 + 45.5% + 50 = 370.1
I hope this helped.. Have an amazing day!
(Brainliest will highly be appreciated!)
please give me the answer (click on file)
Answer:
x = 122
Step-by-step explanation:
Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]
EASY QUESTION! GET EASY POINTS!
if i paid $3.50 a month, how much would i pay a year?
EASY BRAINLIEST!
yw:)
Therefore, you will pay $42 after a year.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Answer:
42
Step-by-step explanation:
3.5*12=42
can someone help me with this
Answer:
b
Step-by-step explanation:
There are 36 boys for every 54 girls
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =
Answer:answer d
Step-by-step explanation:
i just did the test
NEED HELP ASAP…..plz help
The answer is B) y = 4x
Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.
For example:
y = 4x --> y = 4 (2) --> y = 8
I hope this helped. :)