Answer:
The answer is "Zeros are 0 and 4".
Step-by-step explanation:
Given equation:
[tex]\to x^5+3x^3+x^2+2x[/tex]
applying the by direct verification:
[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]
[tex]= 0 \ mod \ 5 \\\\[/tex]
[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]
[tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]
[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]
[tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]
[tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]
[tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]
Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.
Step-by-step explanation:
the oak tree is 17 years old
What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697
Answer:
22
Step-by-step explanation:
because it just is
Simplify (-32) ÷ (-4)
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{Guide\downarrow}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{(-32)\div(-4)}[/tex]
[tex]\bold{=32\div4}[/tex]
[tex]\bold{=8}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
4
Step-by-step explanation:
Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.
-32/ -8 = 4
Check....
-8 * 4 = -32
-32 / 4 = -8
When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
What is the implicit premise in the following argument? Because it is hard to find four-leaf clovers, I will be lucky to find one.
Answer: Either it is not hard to find four leaf clovers, or i would be lucky to find one.
Step-by-step explanation:
An assumption is any assertion or concept that is taken to be true and on which an argument or argument may be based.
From the argument is centered on the probability of finding a four leaf clover.
It is an already established fact that four leaf clovers are rear to come by so it would require a lot of luck to actually find one.
m= 12 and the y-intercept is (0, 11)
Answer:
y=12x+11
Step-by-step explanation:
using y=mx+b
m is the slope and b is the y intercept, using that you just plug in the numbers.
Four more than twice a number is the same as 8 less than three times the same
number. What is the number?
Answer:
Step-by-step explanation:
is the relationship linear, exponential, or neither?
Your answer is linear.
Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c
Answer:
a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3
Let's assume the number be n.
So, sum of number and four can be written as n+4.
Now one-half of n+4 will be .
Quotient of five and the number can be written as .
Now three less \frac{5}{n} can be written as \frac{5}{n} -3.
So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:
So, b is the correct choice.
Step-by-step explanation:
Can you mark brainliest
Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get
Can anyone give me any answers for the first 2 in each coloured section please
Please I need help! Answer as soon as possible
To make enough chili for the chili cook-off, Lee needs 20 pounds of ground
turkey. The market sells 2 pounds of ground turkey for $5.00. How much should
Lee expect to pay for 20 pounds of ground turkey?
Pls answear im on a test
Answer:
50 dollars
Step-by-step explanation:
HELP! whoever gets it right gets brainliest!!
Help pleaseee like ASAP
Answer: B,C,E,F
Step-by-step explanation:1/6 times 5 on top and bottom to get choice B. 1/6 times 3 on top and bottom to get choice C . 1/6 times 4 on top and bottom to get choice E .1/6 times 2 on top and bottom to get choice F.
Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
Answer:
it's 3a+.50b
Step-by-step explanation:
HELP PLS! whoever gets it right gets brainliest!!
Answer:
(7, -4)
Step-by-step explanation:
it's the only one remotely close to the line.
Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?
Answer:b
Step-by-step explanation:
Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given number line,
If a number is going to the left of a number line then it will become lower and lower.
Since a is on the left of b so a < b.
It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.
Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".
For more about inequality,
brainly.com/question/20383699
#SPJ2
Does anyone know how to do this, I’m failing math and I need this to boost my grade. Someone help please
Answer:
Step-by-step explanation:
Hey, I'm not sure if I am right, but I hope it can create a spark or something.
8. Find x
10x - 1 = 14x - 37 Combine like terms
+37 +37
10x + 36 = 14x Combine like terms
-10x -10x
36 = 4x Divide to isolate x
36 = 4x
4 4
9 = x
You can also do this method with the others.
PS: I am still not sure if this is the right method, lol. I just really want to help.
Righteousness is not found.
Answer:
why not
Step-by-step explanation:)
helpp
please i rlly need thiss
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
4 to the second power is 4x4 and 4x4 is 16.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorter leg. Find the side lengths of the triangle.
a. Find the length of the shorter side
b. Find the length of the longer side
c. Find the length of the hypotenuse
d. Find the side lengths of the triangle.
Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
HELP HELP HELP NOW!!!
Answer:
The 3rd one
Step-by-step explanation:
I think
Answer:
it's the last one
'the slope of ab is different than the slope of BC
Step-by-step explanation:
Will give brainliest
Answer:
First Gardener.
Step-by-step explanation:
1st gardener= 56 divided by 8= 7 bushes <---
2nd gardener= 45 divided by 5= 9 bushes
3rd gardener= 80 divided by 10= 8
Pls help urgently extra points and mark brainlist
Answer:
$9.50
Step-by-step explanation:
47.50 ÷ 5 = 9.5
Answer:
$9.50 you are correct
Step-by-step explanation:
You just divide 47.50 by 5!
Can you give me brainliest if not that's ok! :)
What is the sum of the polynomials?
(8x^2 - 9y^2 - 4x) + (x^2 - 3y^2 - 7x)
* 7x^2 - 6y^2 + 3x
* 9x^2 - 6y^2 + 3x
* 9x^2 - 12y^2 + 3x
* 9x^2 - 12y^2 - 11x
Answer:
Option D
Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
8x^2+x^2-9y^2-3y^2-4x-7x
9x^2-12y^2-11x
The sum of the polynomials is 4x² - 12y² - 11x. The correct answer is an option (D) 4x² - 12y² - 11x.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomials are given as follows:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
By combining like terms, we can add the polynomials:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
= 8x² - 4x² - 9y² - 3y² - 4x - 7x
= 4x² - 12y² - 11x
Therefore, the sum of the polynomials is 4x² - 12y² - 11x.
Hence, the correct answer is option (D) 4x² - 12y² - 11x.
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ7
6. If LMNO is a parallelogram, and LM =2y - 9 and NO = y-2, find the
value of 'y'.
y =
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
Opposite sides are the same length:
LM = NO
2y -9 = y -2
y = 7 . . . . . . . add 9-y to both sides
Write the following equation symbolically.
One-sixth of the sum of x and 5 is 4 minus y.
I believe it is
[tex]\frac{1}{6}(x + 5) = 4 - y[/tex]
The nth term of a sequence is 3n^2/2
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
Huh
Step-by-step explanation:
Answer:
The numbers are 8 and 5!
Step-by-step explanation:
8+5=13
8-5=3
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power
9514 1404 393
Answer:
(x^(1/2))^2 = x^(2/2) = x
Step-by-step explanation:
The square root of a number, when multiplied by itself, gives the original number.
(√x)(√x) = x
The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.
(a^b)(a^c) = a^(b+c)
Also, the first power of a number is that number itself.
__
[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
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