Could some one please help with question 9b and 11
Answers
factorise
(a^2 + 4)(a^2 - 2)=0
we then get two answers from the brackets
a^2=-4
a= sqrt(-4) or 2j
and the second bracket gives us a^2=2
a= sqrt(2)
11. First expand the brackets.
Ax^3 + Bx^2 - x^2 + Bx +Cx + D
then equate the coefficients, this basically means put all the x^3, x^2 etc values together.
so Ax^3=3x^3 so we know that A=3Then put the x^2 together, so Bx^2-x^2=-x^2 and rearranging this gives B=0
Next we do Bx+Cx = 2x and we know that B is 0 so we can get rid of it and know that C = 2.
finally we can see that D = -7
Related Questions
Compare 7∕8 with 14∕16 using ( <, >, =).A. 7∕8 < 14∕16 B. 7∕8 > 14∕16 C. 7∕8 = 14∕16
Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 100 pounds of blended coffee beans selling at $4.58 per pound. She plans to do this by blending together a high quality bean costing $5.25 per pound and a cheaper coffee bean at $3.00 per pound. To the nearest pound find how much high quality coffee bean and cheaper coffee bean she should blend.
Find the volume of the pyramid. 100 points
Clara played a video game with three levels. It took her 2 hours and 25 minutes to beat the first level and 2 hours and 25 minutes to beat the second level. Clara played the final level for 1 hour and 50 minutes to finish the game. She beat the final level and stopped playing at 5:20 pm . What time did Clara start playing the game
-2
1
B.
1
-1
The midpoint of AB = ([?],[ ])
Answers
Answer:
midpoint of AB = (-1/2 , 0)
Step-by-step explanation:
A(-2 , 1) = (x1 , y1)
B(1 , -1) = (x2 , y2)
midpoint formula:
=(x1 + x2/2 , y1 + y2/2)
=(-2 + 1/2 , 1 + (-1)/2)
=(-1/2 , 0/2)
(-1/2 , 0)
Answers
let m be the angle
tan m=340/450=0.76
therefore m=37.073 degrees
Answers
Answers
Final answer:
To determine the total number of people surveyed when given the number who preferred swimming and the percentage they represent, you set up an equation based on the percentage and then solve for the total. With this data, 40 people were surveyed.
Explanation:
The question pertains to the mathematical concept of percentages. You mention that 27.5 percent of the surveyed population favored swimming and this equaled to 11 people. To calculate the total number of people surveyed, we let the total number be 'x'. Therefore, the mathematical equation, based on the provided data, becomes 27.5% of 'x' = 11. In mathematical terms, it can be written as 0.275x = 11. For finding 'x', divide both sides of the equation by 0.275. Thus 'x' = 11 / 0.275 = 40. Therefore, based on the given percentages and data, it's inferred that a total of 40 people were surveyed.
Learn more about Percentage Problem here:
#SPJ3
Answers
x 2 + y 2 - 10x - 8y + 1 = 0.
(x^2-10x+25-25) +(y^2-8y+16-16) + 1 = 0
(x-5)^2 -25 + (y-4)^2 -16 + 1 = 0
(x-5)^2+(y-4)^2 = 40
center (5,4); radius = sqrt(40)
2)
8x^2+ 6y 2 - 32x + 24y + 8 = 0.
8(x^2-4x+4-4) +6(y^2+4y+4-4) +8=0
8(x-2)^2 -32 + 6(y+2)^2 -24 + 8 = 0
8(x-2)^2+6(y+2)^2 = 48
divide throughout by 48
(x-2)^2 /6 + (y+2)^2 /8 = 1
Ellipse with center (2,-2)
a=sqrt(6)
b=sqrt(8)
c^2= 8-6 = 2
c= sqrt(2)
eccentricity = c/a = sqrt(2)/sqrt(6)
3)
y=x^2-12x+36-36
y=(x-6)^2 - 36
Vertex is (6,-36)
(x-h)^2=4p(y-k)
(x-6)^2 = 4p(y+36)
4p=1
p=1/4
focus : (h, k+p) = (6, -36+1/4) = (6, -143/4)
4)
focus lies on a vertical line, so the major axis is parallel to the y-axis
(x-h)^2/a^2 +(y-b)^2/b^2 = 1
h=-2
k=0
(x+2)^2/a^2+y^2/b^2 = 1
2b=20
b=10
b^2=100
(x+2)^2/a^2 +y^2/100 = 1
e=c/a
c/a = 4/5
c=(4/5) a
c^2 = 16/25 a^2
c^2 = b^2-a^2
(16/25) a^2 = 100 - a^2
a^2(16/25+1) = 100
41a^2/25 = 100
a^2=2500/41
a= sqrt(2500/41)
(x+2)^2/a^2 +y^2/100 = 1
(x+2)^2 /[2500/41] + y^2/100 = 1
Mean | MAD
---------------------------
Hummus 24.3 | 3.1
Baba ghanoush 11.5 | 2.9
Which statement best describes the overlap in the distribution of the two data sets?
A.
The overlap is high because both means are greater than either MAD.
B.
The overlap is high because the sum of the means is large compared to the MAD.
C.
The overlap is low because the difference in the MADs is small.
D.
The overlap is low because the difference in the means is large compared to either MAD.