Answer:
A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction
Step-by-step explanation:
Given:
(2x + 5) / (x² - 3x) - (3x + 5) / (x³ - 9x) - (x + 1) / x² - 9
Factor the denominators
(2x + 5) / x(x - 3) - (3x + 5) / x(x - 3)(x + 3) - (x + 1) / (x - 3)(x + 3)
Lowest common multiple of the 3 fractions is x(x - 3)(x + 3)
= (2x+5)(x+3) - (3x + 5) - (x + 1)x / x(x - 3)(x + 3)
= (2x²+6x+5x+15) - (3x + 5) - (x² + x) / x(x - 3)(x + 3)
= 2x² + 11x + 15 - 3x - 5 - x² - x / x(x - 3)(x + 3)
= x² + 7x + 10 / x(x - 3)(x + 3)
Solve the numerator.
Solve the quadratic expression by finding two numbers whose product is 10 and sum is 7
The numbers are 5 and 2
= x² + 5x + 2x + 10 / x(x - 3)(x + 3)
= x(x + 5) + 2(x + 5) / x(x - 3)(x + 3)
= (x + 5)(x + 2) / x(x - 3)(x + 3)
A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction
Recall,
x(x - 3)(x + 3) is a factor of x³ - 8x
A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction
(x + 5)(x + 2) / x³ - 9x
B. StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction
(x + 5)(x + 4) / x³ - 9x
C. StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction
2x + 11 / x³ - 12x - 9
D. StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction
3(x + 2) / x² - 3x
can someone help pls ? :]]
Answer:
1st option, p and q are both negated
The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )
Answer:
see explanation
Step-by-step explanation:
Given
(a)
3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )
2y = - 3x + 8 ( divide the terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 4
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form
with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and
(c)
c = 4
That is crosses the y- axis at (0, 4 )
Which are the solutions of x2 = –13x – 4?
Answer:
The 3rd dot and 4th dot, you should select to get the correct answer.
What is 7 3/8 rounded to the nearest whole number?
Answer:
7
Step-by-step explanation:
4/8 = 1/2
3/8 is less than 1/2 so round down
7 3/8 rounds to 7
Answer:
7
Step-by-step explanation:
7 3/8 = 7.375
The closest whole number is 7
Answer from Gauthmath
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Answer:
Not any question Lol ?
step by steo explanation
oh ik let me ask by speaking your language
nsjwkskxkcnnejskalzlmxmdneja ?
Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.
Answer:
Net change in money: decrease of $5
Step-by-step explanation:
supposing Jacob started with x dollars:
He gained $80 from babysitting: x+80
Lost 85: x + 80 - 85
--> x - 5
Therefore, at the end of the week, Jacob lost 5 dollars
I need help with this one pls!
Hi there!
[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]
Simplify:
[tex]\frac{a + b}{ab} = c[/tex]
Multiply both sides by ab:
[tex]a + b = cab[/tex]
Move b to the opposite side:
[tex]a = cab - b[/tex]
Factor out b:
[tex]a = b(ac - 1)[/tex]
Divide by (ac - 1):
[tex]\frac{a}{ac - 1} = b[/tex]
a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.
Answer:
16
Step-by-step explanation:
If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:
23-7= 16
Thus, the teacher had 16 students that day after the 7 went away.
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.
Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = [tex]\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}][/tex]
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = [tex]\frac{1}{2}(56^{\circ}-20^{\circ})[/tex]
m(∠C) = 18°
What is the smallest number, which is neither prime nor a square and that has no prime factor smaller than 100?
Answer:
10403.
Step-by-step explanation:
To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.
After multiplying 101 by 103, we get 10403.
To check our answer, we can verify each point.
10403 is not prime, as it has 2 factors, 101 and 103.
10403 is not square, as the square root of 10403 is 101.9951.
10403 has 2 factors 101 and 103, both of which are greater than 100.
Can somebody help me with this problem. And make sure that u can explain how to do it don't just give me the answer.
Answer:
x=50
Step-by-step explanation:
Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.
1/5 of a wall every 1/4 hour what fraction represents the section of a wall jeb can paint in one hour
Answer:
4/5 of the wall
Step-by-step explanation:
In 1/4 of an hour, 1/5 of the wall is painted. That means that
in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.
4/5 is your answer
Find the length of UV. v(2,-1) u(1,-9)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the length of UV, where:
U (1, -9) V (2, -1)[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(1-2)^2+(-9+1)^2}[/tex]
[tex]Distance = \sqrt{(-1)^2+(-8)^2}[/tex]
[tex]Distance = \sqrt{1+64}[/tex]
[tex]Distance = \sqrt{65}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Decide!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a + 1/b = 5
b + 1/c = 12
c + 1/a = 13
manipulating the first line by subtracting 1/b on both sides
a = 5 - 1/b
manipulating the 3rd line by subtracting 1/a on both sides.
c = 13 - 1/a
plugging a into this
c = 13 -1/(5 -1b)
c = 13 -5 +1/b
c= 8 + 1/b
plugging c into the 2nd line
b + 1/(8 +1/b) = 12
b + 1/8 + b = 12
2b + 1/8 = 12
devide both sides by two
b + 1/16 = 6
b = 11 + 15/16
plugging the value for b into the first line to get a
a + 1/(11 + 15/16) = 5
a + 1/11 + 16/15 = 5
a + 15/165 + 176/165 = 5
a + 191/165 = 5
a = 5 + 191/165
a = 1016/165
plugging b into the 2nd line to get c
11 + 15/16 + 1/c = 12
1/c = 1/16
multiply by c on both sides
1 = 1/16c
multiply by 16 on both sides
16 = c
(2/1.3)+(2/3.5)+(2/5.7)+ ... + (2/97.99) > 98%
Step-by-step explanation:
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Suppose we have 12 books.
How many ways are there to put four of them on a shelf?
PLS HELP ME
Answer:
1) first book can be at any of 4 places
2) Second book can be on any of leftover 3 places
3) Similarly third book on 2 and forth on 1 place
total : 4 * 3*2 * 1 = 24 ways .
other way we have formula 4!/1! =24 , here ordering is important
It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.
example if you need to choose 2 friends for a party out of 4 friends ,
answer will be 4!/2!*2! = 6 groups. (Ordering doesn’t matter hence division)
hope it hleps
PLEASE MARK BRAINLIEST
Please help me please and thank you
Answer:
3x² + 2x - 9 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side of the equation:
[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]
√3 is a polynomial of degree ________.
Step-by-step explanation:
Therefore, the degree of polynomial √3 is zero.
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
[tex]\tt{\sqrt{3}}[/tex] is a polynomial of degree 0
[tex]\sf\huge\underline\color{pinl}{༄Note:}[/tex]
The expression is constant, which means it can be rewritten with a factor of x^0. The degree is the largest exponent on the variable.[tex]\color{pink}{==========================}[/tex]
-#CarryOnLearning
-༄⁂✰Park Hana Moon
which one of the following is not true about a rectangle? A. all its angels are right angels B. its opposite angels are equal C.opposite sides are parallel D. all its sides are equal
Answer:
I am not sure but it may be option c .
Step-by-step explanation:
I chose option c because in parallelogram the opposite sides are parallel .
Find the product using suitable property: a.46*102 b.55*1004
Answer:
please
Step-by-step explanation:
follow me
please
please
please
The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)
Answer:
(2,7/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-4+8) /2 = 4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(2+5) /2 = 7/2 =
The midpoint is (2,7/2)
Answer:
(2, [tex]\frac{7}{2}[/tex])
Step-by-step explanation:
Hi there!
We want to find the midpoint of (-4,2) and (8,5)
To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=-4
[tex]y_1[/tex]=2
[tex]x_2[/tex]=8
[tex]y_2[/tex]=5
Now substitute those values into the formula and solve
To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]
x=[tex]\frac{-4+8}{2}[/tex]
Add the numbers together on the numerator
x=[tex]\frac{4}{2}[/tex]
Divide
x=2
The value of the x-coordinate is 2
Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]
y=[tex]\frac{2+5}{2}[/tex]
Add the numbers together on the numerator
y=[tex]\frac{7}{2}[/tex]
So the point is (2, [tex]\frac{7}{2}[/tex])
Hope this helps!
A photograph has a length that is 2 inches longer than its width, x. So its area is given by the expression x(x + 2) square inches. If the area of thi
photograph is 48 square inches, what is the width of the photograph?
The width of the photograph is
inches.
2 1/4 + 3 5/8
I know I am just trying to make sure so please tell me I will give brain thing
Answer:
[tex] \frac{21}{4} + \frac{35}{8} \\ = \frac{77}{8} \\ = 9 \frac{5}{8} [/tex]
Determine the sum of the first 33 terms of the following series:
−52+(−46)+(−40)+...
Answer:
1320
Step-by-step explanation:
Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)
The terms increase by 6, so d is 6
a is the first term, -56
n is the terms you want to find, 33
Plug in the numbers, 33/2 (2(-56)+(32)6)
Simplify into 33(80)/2 and you get 1320
Express -5/8 as a rational number with -24 as the denominator
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24
Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for which the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
josh earns $415 a week plus 3% commision on any sales he makes. in a particular week, he gets paid $600. how much did he make in sales?
Answer:
$185 in commisions
Step-by-step explanation:
600 - 415 = $185
Answer:
6,166.666$ in total sales
Step-by-step explanation:
I. 600$, If 415$ is his earnings then 185 is commision [600 - 415 = 185]
II. Find 3% so 3/100 = 185/x
3x = 18,500
x = 6,166.666
Hope it help :)
Answer quick plsssssssssss
Answer:
$64
Step-by-step explanation:
Let the pay of Bella be x and Glen be y.
ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.
Glen earned 4*16=64 bucks on Friday.
The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?
Answer:
13m
Step-by-step explanation:
volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π
4r^3/3 = 3000
r^3 =2250
r = ∛2250 = 13.10370 = 13
Answer:
Radius of the sphere is 13.1 m.
Step-by-step explanation:
Volume:
[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]
Substitute:
[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]
