Answer:
Positive i s the correct answer.
I hope it will work out
resolve into partial fraction. (5x+2)/3x²+4x-4
Answer:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
Step-by-step explanation:
Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.
[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]
We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]
Now it's all a matter of writing down what we need:
[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]
Here comes the fun part. Two ways: the fast and loose, and the long one.
Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]
At this point we have B, let's pick a different value of x, let's say 1, to get A:
[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]
More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]
[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]
Again, [tex]A=2, B=1[/tex] is a solution.
Either way, the solution is:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
A ticket to see your favorite baseball team costs $. 45.04That price decreases by $0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 games?
Use the following function rule to find f(0).
f(x)= 12(9)^x
f(0) =
Answer:
12
Step-by-step explanation:
f(0)=12(9)^0
(9)^0=1
f(0)=12(1)=12
[tex]f(x) = 12 \cdot 9^x\\\\f(0) = 12 \cdot 9^0 = 12 \cdot 1 =12[/tex]
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
How to solve this? :)
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
5(2x + 1) = 50
Help me plsss
Answer:
x=9
Step-by-step explanation:
shape it helps
byeeeeee
Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.
I need the answer quick
Applying the tangent ratio, the value of x in the right triangle is approximately: 5.
What is the Tangent Ratio?Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.
Given the following:
∅ = 63°Opp = 10 Adj. = xtan 63 = 10/x
x = 10/tan 63
x ≈ 5
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an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?
2x+5y=25 3x-y=12 con metodo de sustitución
Answer:
x = 5, y = 3
Step-by-step explanation:
2x + 5y = 25
3x - 1y = 12
we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'
5(3x - 1y) = 12(5)
15x - 5y = 60
2x + 5y = 25
+ 15x - 5y = 60
17x = 85
x = 5
plug '5' in for 'x' to solve for 'y':
2(5) + 5y = 25
10 + 5y = 25
5y = 15
y = 3
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.
From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.
Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.
Therefore, the length of the candles at 11:00PM will be:
= 8 - (3/4 × 6)
= 8 - 4.5
= 3.5
In conclusion, the correct option is 3.5 inches tall.
Read related link on:
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Answer: 3.5
just did it
Step-by-step explanation:
what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)
x≥ 0 , everthing to the right of the y-axis
y≥ 0 , everthing above the x-axis
So far you are in quadrant I of the x-y plane
y ≤ 3 , everthing from the above, but also below the horizontal line y = 3
lastly y ≤ -x + 5
sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line
My diagram has a simple trapezoid consisting of a
rectangle with a right-angled triangle attached
now our Objective Function is
C = -5x + 3y , which is a line with slope 5/3
letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.
On my diagram that looks like (5,0)
Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?
Answer:
8 weeks
Step-by-step explanation:
Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.
First, we have to look at the difference which is 2. How many 1/4ths makes 2?
8.
Therefore, 8 weeks would be your answer.
-kiniwih426
Triangle JKL has the following measures:
Side JK = 4 cm
Side KL = 7 cm
Angle J = 38°
Triangle PQR has the following measures:
Side QR = 7 cm
Side PQ = 4 cm
Angle Q = 38°
Which statement is accurate about triangles JKL and PQR?
A. They are not congruent
B. They are based on AAS criteria
C. They are based on SSS criteria
D. They are based on SAS criteria
The triangles are not congruent.
Option A is correct.
I need help i have no clue what to do!
Answer:
Step-by-step explanation:
-6x-2y= -26
3(-6x-2y)= -26*3
-18x-6y= -78
(subtract this from the first equation)
(-2x-6y)-(-18x-6y)= -14+78
16x=64
x=4
Now that we know x= 4 we can plug that into an equation and solve for y
-2(4)-6y= -14
-8-6y= -14
-6= -6y
y= 1
x=4
y= 1
(4,1)
1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical
Answer: B: complementary
Step-by-step explanation: :)
Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.
(36.39- 2.99)/20
Total- chips, so total amount for juice.
Then, divide by 20 because she bought 20 bottles
Answer:
1.67
Step-by-step explanation:
36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67
in the diagram, angle ACB=65
what does angle BCD=
-90
-180
-65
-115
Answer:
65 is the answer.........
Answer:
the answer would be 180-65 so it is 115
How do you write 7460 in standard form?
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you
Solve for x
1−6x = −17
Answer:
x = 3
Step-by-step explanation:
1 - 6x = - 17 ( subtract 1 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
I need help with these
I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answer:
Step-by-step explanation:
solve for x:
4x-14=-2x+24
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
how do you solve this I'm on a time crunch
Answer:
19.59≈20
Step-by-step explanation:
Have a nice day
Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.
Steps are there in the image I attached.
Hope it helps you...
Please mark as Brainlliest!!!
Please help, thanks. NO LINKS!
Answer:
c
Step-by-step explanation:
Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.
I hope this helps! :)
The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?
Answer: I had difficulty reading the problem, so please check my interpretation.
Width is 11x^4 and Length is 5x^2 + 2
Step-by-step explanation:
Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and 22x^4The greatest common factor of 55x^6 and 22x^4 is 11x^4. So the width is 11x^4.
Length = (55x^6+22x^4)/(11x^4)
Length = 5x^2 + 2
what does the x mean in 24x?
Answer:
It means 24 X x
Step-by-step explanation:
Answer:
The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.
you lose one quarter, two dimes, and two nickels.
a. Write the amount as a decimal.
The amount as a decimal is ____.
b. Write the amount as a fraction in the simplest form.
The amount as a fraction is ____.
Answer: .55
55/100
Step-by-step explanation:
Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?
Answer:
144
Step-by-step explanation:
first you gotta do 3x4 which is 12 then 12x12. and then you get 144.
Robert will run a total of 144 miles during the 12 weeks.
Given:
Robert runs 3 times a week for 12 weeks.
So, total number of runs will be:
= 3 runs/week * 12 weeks
= 36 runs
Since each run is 4 miles, multiply the total number of runs by the distance per run:
= 36 runs * 4 miles/run
= 144 miles
Therefore, Robert will run a total of 144 miles.
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