The roots of the given polynomial are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
What is a polynomial ?A polynomial has 2 or more than two terms connected by mathematical operations.A polynomial of degree n has n no. of roots real or imaginary.
A polynomial can be formed as a₁xⁿ + a₂xⁿ⁻¹ + a₃xⁿ⁻² + ...+ aₙx⁰.
According to the given question we have to solve a polynomial of degree 4.
Given, 49k⁴ - 9 = 0
49k⁴ = 9
k⁴ = 9/49
k² = 3/7
k = [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
We know that a polynomial of degree n has n no. of roots.So a polynomial of degree 4 have 4 roots and they are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
learn more about polynomials here :
https://brainly.com/question/9740998
#SPJ4
What is the first difference of the following arithmetic sequence?
{3, 1,-1,-3...}.
A.2
B.3
C.-2
D.5
the answer is C im fairly certain
You and some friends go to a book fair where booths are set out in rows. You
buy drinks at the refreshment stand and then walk 8 rows north and 2 rows
east to the science fiction booth. Then you walk 1 row south and 2 rows west
to the children's book booth. Where is the children's book booth in relation to
the refreshment stand?
Answer:
7 rows north of refreshment stand
Step-by-step explanation:
8 rows north and then 2 rows east followed by 1 row south and then 2 rows west will put you directly north of the refreshment stand but since you have traveled one row south, it will be 8-1 = 7 rows north of the refreshment stand
The attached graphic may help you understand better
Hope that helps
(6)/(7)x-(2)/(5)y+(5)/(7)(y+x)
PLEASE HELP!!!!!
Answer:
55x + 11y/ 35
Step-by-step explanation:
It takes 1/3 cup of rice to make one serving. How many servings of rice can you make with 4 cups? pls answer I will mark brainliest
I would say twelve i think
duuno
ethan claims that [7-3]=4. which statement about ethan claims is true
Answer:
no its not
Step-by-step explanation:
7 - 3 = ? not 4 so sub it
Answer:
Ethan's entire statement is true because he is saying that 7-3=4 and that is correct. If you have seven of something and take away 3 of them then you have 3 left.
Step-by-step explanation:
Take 7 apples for example, if you take away 3 of the apples and then count the left over you will notice that you end up with 4. Also, In a subtraction problem the larger number goes first followed by the smaller number, so that the end result is not a negative number. Hope this helps you.
adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)
Answer:
-160x+264
Step-by-step explanation:
-48+96x-112x+168
-160+264
what is the factors of 125, 135 and 55
Answer:
125 = 1, 5, 25, 125
135= 1, 3, 5, 9, 15, 27, 45, 135
55= 1, 5, 11, 55
the common factor in all three numbers is 5
please help. i'll give brainliest :)
Answer:
Ok, could you put the image a little closer! I have horrible eye-sight!
Please and Thank you!
Step-by-step explanation:
Can someone help me please
Answer:
17 inches
Step-by-step explanation:
I will give you brainlist and 5 stars if you answer :))
Answer:
I'm going to assume the question is asking for a unit rate, and it would be 2 minutes per bag
Step-by-step explanation:
Question8: Find the miss
exponent (y)
(3x³)(4x³) = 12x¹2
Answer: 12x⁶
Step-by-step explanation:
[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]
What is the least common denominator used to add the fractions 1/18 and 5/12
Answer:
6
Step-by-step explanation:
Im right
lol im doing the review to my midterm for math, and i completely forgot how to do this, can someone tell me the steps or something? i wish there was more context but this is all i can give.
Answer:
A
Step-by-step explanation:
Two interior angles on the same side of a transversal intersecting 2 parallel lines are supplementary.
121 + x + 70 = 180
191 + x = 180
x = 180 - 191
x = - 11
need help pls asap
Answer:
D
Step-by-step explanation:
3x+5=2x+5
X^3+y^3=???????????????
Answer:
Well since we don't know what X or Y is, then we can't answer this question.
Step-by-step explanation:
Plz hurry I will give 17 points
their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.
The answers are organize,translate,increase,misplace
Answer:
Organize
Step-by-step explanation:
does anybody know it ??
==========================================================
Work Shown:
The given values are
sin(u) = -12/13cos(v) = -8/17Through the Pythagorean trig identity, we can find
cos(u) = -5/13sin(v) = -15/17I'm skipping these steps, but let me know if you need me to go over them.
Since u and v are in quadrant 3, this means both sine and cosine are negative here
Using those four items, we can then say the following:
cos(v-u) = cos(v)cos(u) + sin(v)sin(u)
cos(v-u) = (-8/17)*(-5/13) + (-15/17)*(-12/13)
cos(v-u) = 40/221 + 180/221
cos(v-u) = (40 + 180)/221
cos(v-u) = 220/221
This is reduced as much as possible because the GCF of n and n+1 is always 1.
A new one-year membership at Roswell Tennis Center costs $160. A registration fee of $28 is paid upfront, and the rest is paid monthly. How much do new members pay each month?
Answer:
11
Step-by-step explanation:
Answer:
x= 13.333333
Step-by-step explanation: 12x = 160 & 160/12 = x
Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?
let x=
let y=
Answer:
13
Step-by-step explanation:
If we want to find out if there are an equal amount of boys and girls, then we do 22/2 which is 11. BUT, it says there are two more girls than boys. So...
11+2 since there are two more boys than girls. 11+2=13 girls.
I I 2x+1 I +2 I >1, step by step solution (I I is absolute value)
The absolute value of x in the inequality I 2x+1 I +2 I >1 showing the step by step solution is x > 2
What is absolute value?The absolute value of a real number x can be defined as the non-negative value of x without regard or consideration to its sign.
It is also known as the modulus of a number.
It is sometimes described as the magnitude of a real number regardless of its sign.
It is important to note that the absolute value must take a positive sign
Given the expression;
I I 2x+1 I +2 I > 1
expand the modulus value
2x + 1 + 2 > 1
collect like terms
2x > 1 + 1 + 2
Add like terms
2x > 4
Make 'x' the subject
x > 4/ 2
x > 2
Thus, the absolute value of x is x > 2
Learn more about absolute value here:
https://brainly.com/question/5012769
#SPJ1
Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?
Answer:
The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Step-by-step explanation:
The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:
210+0.15x≥1,000
Now, you can solve for x:
x≥(1,000-210)/0.15
x≥5,267
According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Finding the slope of the line.
Brainlyst if u are right
Answer:
D. (2, 7)Step-by-step explanation:
The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.
1) What was an advantage the British forces had during the war?
2) What was a disadvantage for the British?
3) What was an advantage for the American forces?
4) What was one disadvantage for the Americans? HELP QUICK
Answer:
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency
How do you do it? Please help
PLEASE HELP ASAPPP!!!!?!!!?
Answer:
5. The minute hand is greater by 5 minutes.
A model rocket is launched from the top of a building. The height (in meters) of the
rocket above the ground is given by f (t) = -4t² + 16+ + 12 where t is the time (in
seconds) since the rocket was launched.
Answer:
boba
Step-by-step explanation:
asbgd hdjdjn126 = 57 round it to 58
Add.
(7v + 6) + (6v + 3)
Answer:
13v + 9
Step-by-step explanation:
(7v + 6) + (6v + 3) ← remove parenthesis
= 7v + 6 + 6v + 3 ← collect like terms
= 7v + 6v + 6 + 3
= 13v + 9
Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.
Answer:
HCF=4
LCM=10080
HCF x LCM = Product of the two given numbers is verified because 403200=40320
Step-by-step explanation:
HCF of 160 and 252
HCF is the product of common prime factors
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
HCF= 2x2
HCF=4
40 and 63 doesn't come in any other table together so,
HCF= 2 x 2 = 4
Now, finding LCM of 160 and 252
LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
In the given factors 2x2 is common so, it is considered once.
LCM= 2x2x2x2x2x3x5x7
LCM= 10080
Now, checking:
HCF x LCM = Product of the two given numbers.
4x10080=160x252
403200=40320
So, It is verified that HCF x LCM = Product of the two given numbers.
help????????!!!!!!!!