Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest
Answer:
-3x² -2y² -8xy +5y
34x² + 51xy - 8y + 6y²
7x² - 11xy +12y - 8y²
Step-by-step explanation:
Given:
A: 5x²+3xy +2y
B: 2y²-xy +4x²
С: 12xy+4x²-3y
Find:
1) А-В-С
2) 2A+3B+4C
3) 3A-4B--2C
Computation:
1) А-В-С
5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]
5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y
-3x² -2y² -8xy +5y
2) 2A+3B+4C
2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]
10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y
34x² + 51xy - 8y + 6y²
3) 3A-4B-2C
3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]
15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y
7x² - 11xy +12y - 8y²
Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan
Answer:
288,40 $
Step-by-step explanation:
25,80$ / month * 48 months = 1238,40$ total payment.
1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.
Find the slope of the line that passes through these two points: (-3, -7) and (5, -5) -4 -1/4 1/4 4
Answer:
It will be 1/4
Step-by-step explanation:
Hope this helped
Solve for xxx.
Your answer must be simplified.
15 < -5 x
Answer:
x < - 3
Step-by-step explanation:
Given
15 < - 5x
Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity
- 3 > x , that is
x < - 3
The simplified expression is x < -3.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is 15 < -5x
⇒ [tex]15 < -5 x[/tex]
Divide both sides by -5,
⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]
When we divide an inequality with negative number, we need to change the sign,
⇒ [tex]-3 > x[/tex]
⇒ [tex]x < -3[/tex]
Hence we can conclude that the simplified expression is x < -3.
Learn more about inequalities here
https://brainly.com/question/22406619
#SPJ2
please help mee
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answer:
9x+15, and I used the distributive property
Step-by-step explanation:
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!
Answer: It's the top left because the line passes through 10 on the y axis.
Can you help me please
Answer:
D?
Step-by-step explanation:
if i got it wrong im truly sorry
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?
Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]
Put m in (i) , we get
[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(-4-(-2))
m=-4/(-4+2)=-4/-2=2
choose the two number sentences that are true a.5+7=11+2 b.3+8=20-9 c. 5+9=19-4 d.12+7=5+14 e.18-6=15-2
Answer:
B) 3+8=20-9 & D) 12+7=5+14
Step-by-step explanation:
3 + 8 = 11, 20 - 9 = 11
12 + 7 = 19, 5 + 14 = 19 :)
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?
Answer:
The answer is 7 bc 7 is half of 14
Step-by-step explanation:
Round The Following Number: 194,332.125
how much is 28 yards in feet
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????
Use distributive property to rewrite each algebraic expression: 8(s + 5)
Answer:
8s + 40
Step-by-step explanation:
8*s = 8s
8*s = 40
8s + 40
Answer: The correct answer is 8s+40
Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Felix said quadrilateral ABCD is a parallelogram because
BE = DE. What was his error?
Answer:
There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.
Step-by-step explanation:
To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.
Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"
Suppose f(x) = x^3 + 1. Find the graph of
f(2x).
Step-by-step explanation:
I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.
Answer:
Mga madlang pipol. The answer is graph 2
A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.
1. What is the unit rate of cream cheese for sugar?
2. what is the unit rate of sugar for cream cheese?
(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)
Answer:
the unit rate of cream cheese for sugar is .8
the unit rate of sugar for cream cheese is 1.25
Step-by-step explanation:
I hope this is correct / helps! :)
The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?
Answer:
14 degrees F
Step-by-step explanation:
Answer:
Step-by-step explanation:
from -7 degrees F to 0 are 7 degrees change
from 0 to 7 are also 7 degrees,
in total are 14 degrees in change
Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.
please help me fast.
Answer:
1140
Step-by-step explanation:
7u-> 665
1u->95
7+5=12
12u->1140
Amelia bought 40 plain black T-shirts for $4 each.She painted designs on them and then sold each T-shirt for 7.50.How much profit did Amelia make selling her fancy T-shirts?
I hope this helpfull dor you...But if this not helpfull,im so sorry...
(9r^2+4r-7)+(3r^2-3r)
Answer:
12r2+r−7
Step-by-step explanation:
hope it helped
please help! thank u!
Step-by-step explanation:
I cannot see the correct value so u check yourself. but this is the correct graph.
What is the difference?
5X
X-2
x + 4
2x
9x2 + 2x + 8
2 x(x - 2)
7x²+8
2 x(x - 2)
9x2–2x+8
2 x(x-2)
7x²-8
2X(x-2)
Answer:
Are these the option or what what this suppose to be ??????
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?
Step-by-step explanation:
Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?
Answer:
195.65
Step-by-step explanation:
Answer:
100%-29% = 71%
568/0.71 = 800
price was $800
Step-by-step explanation:
If I'm wrong I'm sorry
If I'm right Thank you and (Brainliest plz )
find the intercept of the line please help
Answer:
x-intercept: -5/2
y-intercept: 15/4
Step-by-step explanation:
to find x-intercept set y = 0
-6x + 4(0) = 15
-6x = 15
x = -15/6
x = -5/2
to find y-intercept set x = 0
-6(0) + 4y = 15
4y = 15
y = 15/4
Answer:
y-intercept is -2.5 and x-intercept is 3.75
Step-by-step explanation:
I posted a photo on how I got this
Hope this helped
