If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?
Answer:
36
Step-by-step explanation:
Hello,
If [tex]X=x^2[/tex] it becomes
[tex]X^3-289X^2-X+289=(X^2-1)(X-289)[/tex]
and [tex]289=17^2[/tex]
[tex]X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)[/tex]
So,
[tex]x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)[/tex]
a = 1
b = 1
c = 17
d = 17
e = 0
Then a + b + c + d + e = 36
Thanks
To eliminate 6X you would Transform 2x by multiplying what number ?
Answer:
-3
Step-by-step explanation:
to eliminate 6x we need the same no. 6x but that should be negative. so
2X × -3 = -6X
and
6X+(-6X)=0
average cost,average
revenue, average profit
What is the factored form of this expression?
-9x^3 - 12x^2 - 4x
A. x(3x - 2)(3x + 2)
B. -x(3x + 2)^2
C. x(3x - 2)^2
D. -x(3x - 2)(3x + 2)
Answer:
B
Step-by-step explanation:
Given
- 9x³ - 12x² - 4x ← factor out - x from each term
= - x(9x² + 12x + 4) ← perfect square
= - x(3x + 2)(3x + 2)
= - x(3x + 2)² → B
-9x^3-12x^2-4x
Factor out -x from the expression
-x×(9x^2+12x+4)
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
-x×(3x+2)^2
now we do the same thing only different way ok
9x^2+12x+4
write the number in the exponential form with an exponent of 2
3^2 x^2+12x+4
write the expression as a product with the Factors 3x and 2
3^2 x^2 +2×3x×2+4
write the number in the exponential form with an exponent of 2
3^2 x^2+2×3x×2+2^2
Multiply the terms with equal exponents by multiplying their bases
(3x)^2+2×3x×2+2^2
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
(3x+2)^2
Solution: -x×(3x+2)^2
answer:B
PLEASE MARK ME AS BRAINLIEST
Which of the following have a value equal to |37|? Select all that apply.
A. -37
B. 1-371
C. 0
D. -(-37)
E. 37
Answer:
a and e
Step-by-step explanation:
Answer:
A, D, and E
Step-by-step explanation:
Henry's Jewelry Store receives a shipment of 500 jewelry pieces.At this rate.If Henry's Jewelry Store places an order for 5,500 jewelry pieces,how many should they expect to be damaged. They should expect blank pieces of jewelry to be damaged.
Answer:
11
Step-by-step explanation:
What does “of” mean in math
Answer:
multiplying
Step-by-step explanation:
If I have 5 candy bars in a bowl and I take 2 out and set it on the table. How many candy bars do I have?
Answer:
5
Step-by-step explanation:
Is 0.040040004... a rational number? Explain your reasoning.
Choose the correct answer below.
Answer:
The quick answer: No.
Step-by-step explanation:
(pinquancaro)
Given : Number 0.040040004.....
To find : Is the number is rational or irrational ?
Solution :
Rational number is defined as number written in form of p/q where p and q are integers and q is non-zero.
Rational number is terminating and repeating.
Irrational number is defined as number which cannot be written in form of p/q.
Irrational number is non-terminating and non-repeating.
The number given is 0.040040004..... is non-terminating and non-repeating.
Therefore, The number 0.040040004..... is an irrational number.
13. The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Answer:
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Step-by-step explanation:
it is 439.85
James planted 195 flowers in 3 days. There were 4 volunteers, including James, who each planted the same number of flowers. About how many flowers did they plant altogether?
Answer:
About 780 plants
Step-by-step explanation:
195 flowers*4 volenteers=780 plants
One student began to factor 40 as 4×10. Another student began with 2×20. Will they get different answers? Explain
Answer:
Yes because 4x10 and 2x20 are both two different equations/
Step-by-step explanation:
Answer:
They will get the same answer
Step-by-step explanation:
40 = 4*10 = 2*2 * 2*5
40 = 2*20 = 2 * 4*5 = 2 * 2*2*5
Factor the following expression completely. 4b^8-61b^4+225
One bag of grapefruit weighs 5 3/4 pounds. How many pounds of grapefruit are in 2 1/3 bags?
A) 8 1/12
B) 11 1/2
C) 11 2/3
D) 13 5/12
Answer:D is the answer :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Which table shows a proportional relationship between x and y?
Which One Doesn't Belong:
A. 1 + 1/2
B. 6/4
C.3/4
D.30/20
Answer:
30/20
Step-by-step explanation:
7.2 7.21 7.083 least to greatest
Answer:
7.083,7.2,7.21
Step-by-step explanation:
Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.
Answer:
The answer is
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the points is (5, -4) and slope - 2/5
The equation is
[tex]y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4[/tex]
We have the final answer as
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]
Hope this helps you
25 is what percent of 30? (don't forget the % sign and round your answer to the nearest hundredth)
Answer:
83.3% (.3 is recurring)
I need help plzz I need the answer
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
Y-int = (0,2)
Step-by-step explanation:
-28 -54
-21 -40
-14 -26
-7 -12
0 2
Ribbon candy costs $2.50 per foot. How many feet of ribbon can you buy if you have $11.25
Answer:
$4.50
Step-by-step explanation:
11.25 / 2.50 = 4.50
Answer:$4.50
Step-by-step explanation: nothing important
1.) Expand and simplify (6x-7)+(x-3)+(4x-5) *
a.)11x-5
b.)11x-15
c.)10x-15
d.)10×1
Answer:
the answer is b 11x-15
Step-by-step explanation:
your collecting like terms then combining them
Solve for value of B
Answer:
b = 6
Step-by-step explanation:
[tex](6b - 7) \degree + 90 \degree + 61 \degree = 180 \degree \\ \\ (6b - 7) \degree + 151 \degree = 180 \degree \\ \\ (6b - 7) \degree = 180 \degree - 151 \degree\\ \\ (6b - 7) \degree = 29 \degree \\ \\ 6b - 7 = 29 \\ \\ 6b = 29 + 7 \\ \\ 6b = 36 \\ \\ b = \frac{36}{6} \\ \\ \huge \purple{ \boxed{ b = 6}}[/tex]
On a map, 1 inch equals 5 miles. Two cities are 10 inches apart on the map. What is the actual distance between the cities?
Answer:
50 i think. Just count by 5 to 10
Solve.
(6a + 4)(5a + 3)
Johnathan bought a new computer for $1,716 using the electronics store’s finance plan. He will pay $143 a month for 12 months. What equation can he use to find out how much money he still owes after each month of the plan?
Answer:
1,1716 + 143(12)
Step-by-step explanation:
i believe that is correct hope I helped you!
Can someone help me on 4 and 5? I would appreciate it so much
Answer:
5. 12 : 3 is equivalent 4 : 1
6n + 12 what kind of property is it ?
Answer:
Subtractive property of equality
Subtractve property i think