1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amiraneli [1.4K]
3 years ago
10

According to the Rational Root Theorem, Negative two-fifths is a potential rational root of which function?

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

<h2>Neither expression satisfies the given rational root.</h2>

Step-by-step explanation:

To find the right answer, we just need to replace the given root in each expression and see which one gives zero.

<h3>First expression.</h3>

f(x)=4x^{4} -7x^{2} +x+25\\f(-\frac{2}{5})= 4(-\frac{2}{5})^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+25=\frac{64}{625}-\frac{28}{25} -\frac{2}{5} +25 \approx 23.58

<h3>Second expression.</h3>

f(x)=9x^{4}-7x^{2} +x+10=9(-\frac{2}{5} )^{4}  -7(-\frac{2}{5} )^{2} +\frac{2}{5} +10 \approx 9.5

<h3>Third expression.</h3>

f(x)=10x^{4}-7x^{2} +x+9=10(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+9 \approx 7.7

<h3>Fourth expression.</h3>

f(x)=25x^{4}-7x^{2}  +x+4=25(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+4 \approx 3.12

Therefore, neither expression satisfies the given rational root.

You might be interested in
What is 24.2% of 60?
spayn [35]
The answer is 14.2.... hope this helps
4 0
3 years ago
Read 2 more answers
Please please please please just answer quickly i have short time left
Nastasia [14]

9514 1404 393

Answer:

  (x, y) = (10, 4)

Step-by-step explanation:

Opposite sides are the same length, so ...

  ON = LM

  6x -3 = 4x +17

  2x = 20 . . . . . . . . add 3-4x

  x = 10

__

  OL = NM

  x -5 = 3y -7

  10 -5 + 7 = 3y . . . . . substitute x, add 7

  12/3 = y = 4 . . . . . .  simplify, divide by 3

The values of x and y are 10 and 4, respectively.

5 0
3 years ago
What is the slope of a line that passes through (2, -5 ) and (6, -2 )
Yuki888 [10]

Answer:

3/4

Step-by-step explanation:

-2-(-5) divided into 6-2

-2 +5 divided into 4

3 divided into 4

4 0
3 years ago
Read 2 more answers
You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball ha
riadik2000 [5.3K]

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

  • (Volume of box x 5/8) / volume of gumballs = Amount of gumballs  
  • Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)  
  • Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches  
  • ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
  • (343.1 x 5/8) / 0.523 = X
  • 214.4375 / 0.523 = X
  • 410 = X

Therefore, 410 gumballs will be needed to fill the box.

Learn more in brainly.com/question/1578538

4 0
3 years ago
37. A company is choosing between two tanks for mixing chemicals Bothhave the same price, so the company plans to choose the one
omeli [17]
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.

Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons

Hence the conical tank will contain more chemicals
3 0
4 years ago
Read 2 more answers
Other questions:
  • Write an inequality that represents the verbal expression. 9 less than a number n is less than 17.
    6·2 answers
  • Find the area of the region. Use a graphing utility to verify your result.
    15·1 answer
  • Josie has $80. Addie has $60.
    15·2 answers
  • Which statement must be true if ? <br><br><br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
    5·2 answers
  • Ralph wants to build a rectangular deck with a predefined area of 792 feet squared. One side of the deck will be 54 feet longer
    7·2 answers
  • Using the function f(x) = -3 x -5, calculate f(-7)
    15·1 answer
  • HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!
    15·2 answers
  • Which of the following rational functions are graphed below?
    13·1 answer
  • A line segment has the endpoints P(10,9) and Q(2,5).Find the coordinates of its midpoint M.
    6·1 answer
  • Evaluate 21 + (-3c) when c=-2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!