2x² - 5x+1 has roots alpha and beta. Find alpha²+beta².
Please answer fast. I will mark the best answer as brainliest.
Answer:
[tex]\dfrac{21}{4}[/tex]
Hello,
Step-by-step explanation:
[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]
What is the slope of the line represented by the equation y = -1/2x+ 1/4
Answer:
y = mx+ b
m=slope
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptBy comparing the formula to the equation given, it is clear the slope of the line is -1/2.
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14 degree decrease
Step-by-step explanation:
8-14= -6
Solve the inequality.
-4 < 2x - 6 < 12
[?]
Hi ;-)
-4 ≤ 2x - 6 ≤ 12
2x - 6 ≥ -4 / + 6
2x ≥ 2 / : 2
x ≥ 1
2x - 6 ≤ 12 / + 6
2x ≤ 18 / : 2
x ≤ 9
1 ≤ x ≤ 9help help help help help help
Answer:
the answer is no c because the translation is done in clockwise taking y intercept in 6 units
If the first term of an A.P is equal to one half of the common difference d, find the eight term of the A. P.
Step-by-step explanation:
The formula for Arithmatic Series is
[tex]a_n=a_1+(n-1)d[/tex]
where a_1 and a_n are the first and n-th term of the series respectively,
d is the common difference of the series.
Now,
The eigth term is given by,
[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]
Mary Lindey wants to purchase pumpkins. She finds different markets advertising pumpkins for sale. What market has the lowest price per pumpkin . 3 for 10.59 , 3.75 per pumpkin , 2 for 7.20
*7th grade*
Identify the terms in the expression. (Enter your answers as a comma-separated list.)
5y3 + y + 3
5y3+y+3
5y4+3
I'm not sure but I think it will help you out
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
50 POINTS HELP WILL MARK BRAINLIEST
find the value of x.
(picture attached)
Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
Enter an inequality that represents the graph in the box.
Answer:
It will be -8≤×≤8
Which of the following demonstrates the distributive property?
A. (r + s)t = (s+r)t
B. (r + s)t=r + (st)
C. (r + s)t = t(r + s)
D. (r + s)t = rt + st
Answer:
D. (r + s)t = rt + st
Step-by-step explanation:
Distribute means that the term outside gets multiplied to each term on the inside of the parentheses
(r + s)t = rt + st
HELP I'M REWARDING 50 POINTS (YA IKR 50 WOW) IF YALL GET THIS RIGHT..
Answer:
232
Step-by-step explanation:
Since the polygon is regular, each side of the polygon is equal
[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]
[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]
[tex] \frac{22}{3} = \frac{1}{3} x[/tex]
[tex]x = 22[/tex]
This means each side is worth
[tex]22 + 7 = 29[/tex]
or
[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]
There is 8 sides so the perimeter is
[tex]29 \times 8 = 232[/tex]
Can someone explain me this please :)
Answer:
39) a) [tex]2^{1}[/tex]= 2
b) [tex]2^{3}[/tex]= 2×2×2=8
c)[tex]2^{t}[/tex]
40) no
Step-by-step explanation:
40) both point A and B is below the point C. therefore it cannot pass through point c
Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30
Create a real-world situational problem to represent the given equation or inequality.
Answer:
wheres the rest of it
Step-by-step explanation:
Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…
Step-by-step explanation:
radius =x+2
diameter=4x
Diameter=2(radius)
4x=2(x+2)
4x=2x+4
4x-2x=4
2x=4
x=4/2
x=2
Subtitute x=2 in radius:
r=2+2=4
Area=πr²
Area=3.14×4²
Area=3.14×16
Area=50.24
Both the circles are identical so area is same.
Note:if you need to ask any question please let me know.
helppppppppppppppppppp
Answer:
x = -4
Step-by-step explanation:
-x+7 = -6x-13
Add 6x to each side
-x+7+6x = -6x-13+6x
5x+7 = -13
Subtract 7 from each side
5x+7-7=-13-7
5x = -20
Divide by 5
5x/5 = -20/5
x = -4
Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]
Answer:
A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣDivide both sides by 2²ˣ
1 + (3/2)ˣ = (3/2)²ˣSubstitute (3/2)ˣ = t
t² - t - 1 = 0Solve for t:
t = (1 ± √5)/2Positive root is considered as (3/2)ˣ can't be negative.
(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028Using the numbers 2,7,13,11,5 can you get the total of 23? (No negatives, No repetitive Numbers and only)
Answer:
7, 11, 5
Step-by-step explanation:
7 + 11 = 18
18 + 5 = 23
[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]
How do you simplify that expression?
Answer:
[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]
rationalise the denomimator:
[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]
The perimeter of the rectangle below is 16 Solve for X
Answer:
x = 5
Step-by-step explanation:
The opposite sides of a rectangle are equal , then perimeter
2(- 2x - 6) + 2(4x + 4) = 16 ← distribute parenthesis and simplify left side
- 4x - 12 + 8x + 8 = 16
4x - 4 = 16 ( add 4 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
x=1/4
Step-by-step explanation:
perimeter of a rectangle
2(L+w)
-2x-6(4x+4)
open the bracket
-2x(4x+4)-6(4x+4)
-8x^2-8x-24x-24
-8x^2-32x-24
2(-8x^2-32x-24)
-16x^2-64x-48
coefficient of x is 64
16=64x
x=1/4
Which best describes the meaning of the statement "If A and B ? i dont understand this
A. If A is false then B must be false
B. If A is true then B must be true
C. If A is false , then B must be false
D. if A is true then B might be true
HELPPGPPGPFPPDPSPPSS MEEEEK
Answer:
jsjwbsihdn3oiansjsos
If V(r)=4/3pir³, find V(3/4)
Answer:
Step-by-step explanation:
r = 3/4
[tex]V(r) =\dfrac{4}{3}\pir^{3}\\\\V(\dfrac{3}{4})=\dfrac{4}{3}*\pi \dfrac{3}{4}*\dfrac{3}{4}*\dfrac{3}{4}\\\\=\dfrac{3*3}{4*4}\pi \\\\=\dfrac{9}{16}*3.14\\\\=1.77[/tex]
. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.
Class 10 cbse maths
the answer is 7/9. ...........
Write the equation of the line that passes through the points (-3,6) and (4,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y = -5/7x + 27/7
Step-by-step explanation:
y2 - y1 / x2 - x1
1 - 6 / 4 - (-3)
-5 / 7
= -5/7
y = -5/7x + b
1 = -5/7(4) + b
1 = -20/7 + b
27/7 = b
Which is the graph of the equation y- 1= 5(x-3)?
Answer:
linked below
Step-by-step explanation:
If you use desmos, it show this which is the correct graph :)
Geometry question. “Find the value of x that will make A||B.” Brainliest to whoever is correct
Answer:
Step-by-step explanation:
The two angles are interior angles on the same side of the transversal. They are supplementary.
2x + 50 + 5x - 80 = 180 Combine like terms
7x - 30 = 180 Add 30 to both sides
7x = 210 Divide by 7 on both sides
x = 210/7
x = 30