Answer:
(2x^2 + x-3)/(4x^2-9)
Step-by-step explanation:
The denominator looks like an expression in which we have applied the difference of two squares to
In that case, we know that;
a^2-b^2 = (a-b)(a+ b)
That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;
(2x + 3)(2x-3) = 4x^2 - 9
Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial
That means;
(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3
So we have the original expression as;
(2x^2 + x-3)/(4x^2-9)
In a sports club of 150 members, 88 play golf, 63 play bowls, and 45 play golf and bowls. Find the probability that:
a) a member plays golf only.
b) a member doesn't play golf or bowls.
pls explain too if u could. thanks!
Answer:
a) .287
b) .293
Step-by-step explanation:
The answers are boxed in red in the picture.
First I found how many people only golfed. Then I did the same for the people that only bowled. Next I found how many members didn't golf or bowl.
From there I found the probabilities by dividing
a.) # of members that only golf / total # of members
b.) # of members that don't bowl or golf / total # of members
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
Select the correct answer (for Edmentum/PLATO).
Which expression represents the series 1 + 5 + 25 + 125 + 625?
Answers attached in photo.
Answer:
Correct answer is A. Trust me
Step-by-step explanation:
2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report
Answer:
6 -8n
Step-by-step explanation:
2/3 (9-12n)
Distribute
2/3 *9 - 2/3 *12n
6 -8n
Please help please with geometry
Answer:
33
Step-by-step explanation:
HJ = HI + IJ
HJ = 3x - 9, HI = x and IJ = x + 5
So 3x - 9 = x + x + 5
Solve for x
Combine like terms
3x - 9 = 2x + 5
Add 9 to both sides
3x = 2x + 14
Subtract 2x from both sides
x = 14
Find HJ
HJ = 3x - 9
We have found that x = 14
HJ = 3(14) - 9
Multiply 3 and 14
HJ = 42 - 9
Subtract
HJ = 33
Find the common ratio of the geometric sequence 17, -51, 153, ...
Answer:
an = 17 ( − 3 ) n − 1
Step-by-step explanation:
Use the formula an = a 1 r n − 1 to identify the geometric sequence.
Look at the figure. Which step should be taken next to construct a line through point R that is perpendicular to ST ?
Answer:
where is the figure without figure how to find out
{24a - 18b} =24a−18b I neeed help
0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
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The average weight of 10 boys is 77.0 pounds. If the
youngest boy is excluded, the average weight of the
9 remaining boys is 78.0 pounds. What is the weight,
in pounds, of the youngest boy?
Answer:
68 pounds.
Step-by-step explanation:
Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.
I'll let x = total weight.
[tex]\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68[/tex]
Therefore, the youngest boy weighs 68 pounds.
Jacob and Mirit decide to race their pet snails. Jacob's snail moves 25 inches per minute, and Mirit's snail travels 28 inches per minute. How far away from Jacob's snail will Mirit's snail be after an hour?
Answer:
180 inches
Step-by-step explanation:
25 inches per minute
in 1 hour (60 minutes) :
25*60 = 1500
28 inches per minute
in 1 hour (60 minutes) :
28 * 60 = 1680
1680-1500 = 180
What is the vertex of g(x) = 3x2 − 12x + 7?
(−6, −5)
(−2, −5)
(2, −5)
(6, −5)
(h ,k) —> (2 , –5)
g(x)=3x²-12x+7 —> y= 3(x-2)²-5
y=a(x–h)²+k —> a= 3 , h=2 , k= –5
(h ,k ) —> (2, –5)
I hope I helped you^_^
Answer:
C, Option 2, or (2,-5)
Step-by-step explanation:
edge 2021
CP = Rs 720 and SP = Rs 810
Answer:
Bro what to do in this question. Hope you understand me
The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?
The range is the same for both functions: {y | y is a real number}.
The range is the same for both functions: {y | y > 0}.
The range changes from {y | y > 0} to {y | y > 2}.
The range changes from {y | y > 0} to {y | y > 6}.
The range is the same for both functions: {y | y is a real number}.
Translation and range of a functionGiven the parent function expressed as f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;
g(x) = |x + 6| + 2
The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.
Learn more on range of a function here: https://brainly.com/question/1466393
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Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Please help solve x and round all answers to the nearest tenth
ASAP!! Photo attached
Answer:
FG = 120 cm
Step-by-step explanation:
The explanation is in the picture!
In a birthday party, a cake was cut into 30 equal sizes pieces. At the end of the party, 8 pieces were left. What was the percentage of cake consumped?
Answer:
73 1/3 %
Step-by-step explanation:
8 pieces were left
30-8 = 22 so 22 were consumed
22/30 is the percent consumed
.7333333
73.333333%
We know .333333333 is 1/3
73 1/3 %
Look at this cube,,,,,,,
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
can anyone help with this? im confused
A rectangular rug has the perimeter of 36 feet. The length of the rug is twice the width. What is the length
Answer:
12 ft
Step-by-step explanation:
l = 2w
P = 2(l+w)
36 = 2(2w+w)
36 = 2(3w)
36 = 6w
Divide each side by 6
36/6 = 6w/6
6 =w
l = 2w
l = 2(6)
l = 12
Find the value of a,b,c and x from the following figure
Answer:
L=110
d=110
b=70
a=70
c=110
х
у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
Arrange in descending order.
10,-5,-1, 12, 0, -13
Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
write two properties of right angled triangle
Answer:
The properties of right angle triangle are as follows
the hypotenuse is the longest sideone angle is 90 degree then other angle will be also 90 degree.PLEASE HELP!! Find the slant height of the come
Please hell the question is in the photo ^^
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
Answer choices
5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10
Answer:
x^2 -10x+2
Step-by-step explanation:
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
FOIL
(3x^2 - 11x - 4) – (2x^2-4x+3x-6)
Combine like terms
(3x^2 - 11x - 4) – (2x^2 -x-6)
Distribute the minus sign
3x^2 - 11x - 4 – 2x^2 +x+6
Combine like terms
x^2 -10x+2