Given:
The function is:
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
To find:
All the possible rational zeros for the given function by using the Rational Zero Theorem.
Solution:
According to the rational root theorem, all the rational roots are of the form [tex]\dfrac{p}{q},q\neq 0[/tex], where p is a factor of constant term and q is a factor of leading coefficient.
We have,
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
Here,
Constant term = -2
Leading coefficient = 10
Factors of -2 are ±1, ±2.
Factors of 10 are ±1, ±2, ±5, ±10.
Using the rational root theorem, all the possible rational roots are:
[tex]x=\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Therefore, all the possible rational roots of the given function are [tex]\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
In a baseball card collection, 40% of the cards are worth more than 100$. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
A male African elephant weighs 6 tons. A male African lion at the local zoo weighs 1/50 of the weight of the male African elephant. How many pounds does the lion weigh?
Answer:
240
Step-by-step explanation:
Take 1/50 as an decimal and multiply it by 12000 pounds (6 tons
.02*12000=240
A farmer sells 6.1 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.6
Step-by-step explanation:
6.1 kilograms - 4.5 kilograms = 1.6 kilograms
Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.
Step-by-step explanation:
here's your solution
=> total money received by them = $1600
=> the given ratio are 7:5:4
=> let the ratio be X ,now
=> Maria = 7X
=> Carolina = 5X
=> Pedro = 4X
=> we know whole money = $1600
=> so, adding all
=>. 7x + 5x + 4x = $1600
=> 16x = $1600
=> x= $1600/16
=>. x = $100
now Maria = 7*100 = $700
Carolina = 5*100 = $500
Pedro = 4*100 = $400
hope it helps
please help, I did it 3 times but can't seem to get is right
Answer:
A' = (-2,0)
Step-by-step explanation:
imagine a mirror being along the line y=2.
Then A's mirror image would appear at -2,0.
Does anyone know this answer??
Answer:
Option B is your answer ☺️☺️☺️
What two things make a graph proportional?
What is the exact volume of the cylinder?
Enter your answer, in terms of it, in the box.
Answer:
volume of cylinder : πr²×h = π × 5² × 15 = 375π ≈ 1177.5 cm³
c) Work out
√6 x √6 x √6
Answer:
√6 × √6 × √6 = 6√6
Step-by-step explanation:
[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]
[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]
[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]
Translate triangle ABC 4 units right and 5 units down H E L P
Identify the solution to the system
Answer:
The solution is where the two lines intersect so
(1, 3)
x= 1
y= 3
Step-by-step explanation:
Over which interval does f(x) have a negative average rate of change?
A.[3,8]
B.[-9,-3]
C.[3,5]
D.[-9,-8]
Answer:
It is A
From the x-value of 3 to the x-value of 8, the y-value goes down from 3 to -6
Uh...I have no clue. Sorry. :(
how to find surface area of trapezoid.
Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u
Step-by-step explanation:
HELPP PLEASE! ASAP!!
Why was the United States interested in rebuilding the Japanese economy after World War II?
A
The United States feared the influence of communist countries in Japan.
B
The United States and Japan had a shared history of colonial oppression.
C
The United States wanted to make the Japanese pay war reparations.
D
The United States planned to occupy Japan for many years to come.
HELP ME PLEASE I NEED IT NOW
find the discriminant of 2x square + x - 6 is equal to zero?
Answer:
When the discriminant value is zero, we get one real solution; When the discriminant value is negative, we get a pair of complex solutions; Standard Form. The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.
Estimated Reading Time: 50 secs
Step-by-step explanation:
What is the equation of a line parallel to the line y = 4x - 5 with a y intercept of
3?*
solve graphically please send me by solving and clicking photo plzzzz
Answer:
Subtract 5x from both sides of the equation.
7y=1−5x
x+4y=−5
Divide each term by 7 and simplify.
y=17−5x/7
x+4y=−5
Subtract x from both sides of the equation.
y=1/7−5x/7
4y=−5−x
y=1/7−5x/7
Divide each term by 4 and simplify.
y=1/7−5x/7
y=−5/4−x/4
y=1/7−5x/7
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. (3,−2)
Step-by-step explanation:
Which of the following length can represent a right triangle?
5,12,15
4,5,6
8,10,12
20,21,29
Answer:
20, 21, 29
Step-by-step explanation:
h²= p²+b²
29² = 20²+ 21²
5 1/3 divided by 2/3
Draw a diagram
[tex]5\frac{1}{3} =\frac{16}{3}[/tex]
[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]
Hope this helped!!!!!!!
Find the value of 5x + 3y - 7z when x = 4, y = -5 and z = 8
Answer:
-51
Step-by-step explanation:
5x + 3y -7z = 5 x 4 + 3 x -5 - 7 x 8
= 20 - 15 - 56
= -51
Answer:
This is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
HELPPPPP please :( thanks
A $3,000 deposit for 66 months compounded at an annual interest rate of 1.6%. What is the interest and the account balance at the end of the 66 months
Answer:
interest: $275.77balance: $3,275.77Step-by-step explanation:
The account value is given by the compound interest formula:
A = P(1 +r/12)^n
Principal P invested at annual rate r compounded monthly for n months.
__
Using your parameters, the account balance would be ...
A = $3000(1 +0.016/12)^66 = $3275.77 . . . account balance
The interest is the difference between this balance and the original investment amount:
interest = $3000 -3275.77 = $275.77 . . . interest
Wha is 3/8×5/6 you will need a paper.
write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88
Answer:
Step-by-step explanation:
write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88
Find the volume of the pyramid, given its slant height. Round them to the nearest tenth please.
Can you help me? I tried but I did not understand and thank you
9514 1404 393
Answer:
4. 1.3 cm³
5. 621.2 mm³
6. 116.5 m³
Step-by-step explanation:
The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):
h = √(s² -(b/2)²)
The volume is found from the formula ...
V = (1/3)b²h
where b is the base length and h is the height found using the previous formula.
The tedious arithmetic is nicely done using a spreadsheet. Results are attached.
Alice takes 4 white, 2 red, and 3 blue shirts on a trip. On the first day Alice will pick a shirt at random. What is the probability that she picks a red shirt?
Answer:2/9
Step-by-step explanation:
Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 4 m de ancho y 2.5 m de alto. V=50m ^3
Answer:
the volume is 50m^3
Step-by-step explanation:
The computation of the volume of the room is shown below:
As we know that
The Volume of the room = length × width × height
volume = 5m × 4m × 2.5m
= 50m^3
Hence, the volume is 50m^3
Lian was asked to write an equation and solve this problem.
Shonda has some small spoons and 40 large spoons. If she has 68 spoons total, how many small spoons does Shonda have?
Lian’s work is shown below.
Steps
Lian’s Work
Step 1
s + 40 = 68
Step 2
s + 40 minus 40 = 68 minus 40
Step 3
s = 28
In which step, if any, did Lian first make a mistake in her work?
step 1
step 2
step 3
no mistake Who wanna mha (my hero academia anime rp wit me plz dont report)
Answer:
Its no mistake
Step-by-step explanation:
I got it right