Answers
x(3x^2+7x-20)=0
x(3x^2+12x-5x-20)=0
x(3x(x+4)-5(x+4))=0
x(3x-5)(x+4)=0
x={-4, 0, 5/3}
Related Questions
It takes an older employee 13 hours to shovel the snow from a sidewalk, but a younger employee can shovel the same sidewalk in 10 hours. how long will it take them to clear the walk if they work together?
Answers
Time taken by both of the older employee and younger employee is 5.6 hrs
What is Componendo-dividendo rule?Componendo-dividendo rule: A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions. The componendo and dividendo rule are used while studying ratios and proportions. If the ratio of any two given numbers is the same as the ratio of the other 2 numbers, then the ratios of the sum total of the numerator and denominator to the difference of the numerator and denominator of the two rational numbers are equal in nature.
Given, older employee needs 13 hours to shovel the snow.
So in 1 hr the older employee will shovel = 1/13
Younger employee needs 10 hours to shovel the snow.
So in 1 hr the younger employee will shovel = 1/10
Now, when they work together
[tex]1/13+1/10 = 1/x \\(10+13)/130 = 1/x \\3/130 = 1/x\\x = 130/23 = 5.6 hrs[/tex]
Hence, the time taken by both of them together is 5.6 hrs
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Final answer:
Two employees working together can clear the sidewalk in approximately 6 hours and 31 minutes. This is determined by finding the individual work rates, combining them, and then taking the reciprocal of the combined rate to find the total time worked together.
Explanation:
To find out how long it will take two employees to shovel snow together, we need to determine their combined work rate. The older employee takes 13 hours, and the younger employee takes 10 hours. First, we calculate each of their work rates per hour by taking the reciprocal of their time.
So, the older employee's work rate is 1/13 sidewalks per hour and the younger employee's 1/10 sidewalks per hour. To find their combined work rate, we add these two rates together:
Combined work rate = (1/13) + (1/10) = (10 + 13) / (13 × 10) = 23/130 sidewalks per hour
Now, to find the total time taken to shovel the sidewalk when working together, we take the reciprocal of the combined work rate:
Time taken working together = 1 / (23/130) = 130/23 hours
To make this more interpretable, we can convert it into a mixed number:
Time taken working together = 5 hours and (130/23 - 5 × 23/23) hours = 5 hours and 35/23 hours
We can convert 35/23 hours into minutes by multiplying by 60:
Additional minutes = (35/23) × 60 minutes = approximately 91 minutes
Therefore, the time taken working together is roughly 5 hours and 91 minutes, which simplifies to 6 hours and 31 minutes.
Find an equation for the nth term of the arithmetic sequence.
a15 = -53, a16 = -5
A) an = -725 - 48(n - 1)
B) an = -725 + 48(n + 1)
C) an = -725 + 48(n - 1)
D) an = -725 - 48(n + 1)
Answers
every term increases by d amount
so [tex]a_n+d=a_{n+1}[/tex]
therefor
[tex]a_{15}+d=a_{15+1}=a_{16}[/tex]
-53+d=-5
add 53 both sides
d=48
alright
an=a1+d(n-1)
an=a1+48(n-1)
use a15=-53
a15=-53=a1+48(15-1)
-53=a1+48(14)
-53=a1+672
minus 672 both sides
-725=a1
the equation is
an=-725+48(n-1)
answer is C
Can some one please help me with this question answer What is 40%of 320
Answers
320 * 0.4 = 128 ← answer
Final answer: 128
In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
24
72
13
18
Answers
A geometric sequence has a common ratio of 2/9 and the first term is 729 what is the 8th term?
Answers
an=ar(n-1)
where;
a=first term
r=common ratio
n=nth term
thus the 8th term will be:
8th=728*(2/9)^(8-1)
=728*(2/9)^7
=128/6561
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a downward sloped line crossing the y axis at two that ends at the open point 2, 1.3, a closed point at 2, -1, and an upward sloped line starting at the open point 2, 4. Find = limit as x approaches two from the right of f of x..
Answers
-------------------------------
Start on the right side of the value x = 2. In other words, start at some value larger than 2, say x = 4. Starting at x = 4, move closer to x = 2. Move as close as you can. The closer x gets to 2, the closer y gets to 4. You'll never actually get to x = 2 or y = 4 because of the hole. However, the right-hand limiting value is 4 assuming you can keep getting closer and closer.
Note: if you approach x = 2 from the left side, you arrive at a different y value So this suggests that overall, the limit at x = 2 doesn't exist. But the right hand limit (RHL) does exist as described above.
What is the graph of x = -5?
Answers
the graph is the line parralle of axis- y passing by the point : (-5 , 0 )
the price of a television decreased from 1000.00 to 800.00.what is the percent of decrease.
Answers
So....
100((800 - 1000) / 1000)
= 100(-1/5) = -20%
Considering the question asks what is the percentage 'decrease' and thus has mentioned that the price is decreasing, you should just give the answer as 20%. If it was not mentioned that the value increases or decreases, it would be correct to put it as -20%
Answer:
The decrease is 20%
Step-by-step explanation:
What is the answer to
-18= 117/p-9
Answers
(p-9)(-18) = 117
p-9 = 117/-18
p = (117/-18) +9
p = 2.5
So here are the steps you need to follow to get the answer!
-18 = 117/(p - 9)
-18(p - 9) = 117 -----> multiply "(p - 9)" on both sides
-18p + 162 = 117 ------> distribute the "-18"
-18p = -45 ------> subtract "162" on both sides
p = 2.5 ------> divide "-18" on both sides
I hope this helps! :D
Please vote me for Brainliest if there is a second answer!!!
The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer. A coordinate plane is shown. Hakims house is located at negative 3, 1, Jacobs house is located at 1, 5, and Kents house is located at 1, 1. Line segments connect the points to form a right triangle.
Answers
d^2=(x2-x1)^2+(y2-y1)^2 so in this case we have:
d^2=(5-1)^2+(1-3)^2, d^2=(1-5)^2+(1-1)^2, d^2=(1-3)^2+(1-1)^2
d^2=(16+4), d^2=16, d^2=4
So the total distance or perimeter, p, is:
p=√20+√16+√4
p=√20+4+2
p=6+√20 km (exact)
p≈10.47 km (to nearest hundredth of a kilometer)
Answer:
14 km
Step-by-step explanation:
I did FLVS
What's an equation for "Six more then twice a number is 72?"
Answers
the equation would be:
2x+6 = 72
A card is drawn from a standard deck of 52 cards. what is the probability that it is a heart? type in your answer to two decimal places!
Answers
1 suit is a heart
so the probablity is 1 out of 4 or 25% or 0.25
What is the factorization of the polynomial below?
x^3-4x^2+45x
Answers
x³-4x²+45x = x(x² - 4x + 45)
If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial.
The final answer is x(x² - 4x + 45).
In a horse race, how many different finishes among the first 33 places are possible if 20 horses20 horses are running? (exclude ties)
Answers
To solve this problem, let us break this down one by one.
There are 20 possible
horses that could win in first place. Therefore this means that for each of
these possibilities, there are now 19 horses that could come in second. So
meaning there are 20 x 19 possible combinations for the first 2 places.
20 x 19 = 380. And for each of those combinations, there are also
18 possible horses that could come in the third place. So
20 x 19 x 18 = 6,840
There are 6,840 possible horse combinations for the first 3
places in the race.
3/5x+19−3/20x−7/35x+19−3/20x−7 simplified is
Answers
Final answer:
To simplify the expression, combine like terms and then simplify to get (1/4)x+24.
Explanation:
To simplify the expression, 3/5x+19−3/20x−7/35x+19−3/20x−7, we can combine like terms and then simplify:
Combine 3/5x−3/20x−7/35x to get (3/5−3/20−7/35)x = (12/20−3/20−4/20)x = (5/20)x = (1/4)x.Combine 19+19 to get 38.Combine −7−7 to get −14.Combine the results: (1/4)x+38−14 = (1/4)x+24.So, the simplified expression is (1/4)x+24.
Felicia put $175 into a CD that pays 4% interest, compounded semiannually. According to the rule of 72, approximately how long will it take for her money to double?
Answers
A=p(1+r/100)^n
where;
A=amount
p=principle
r=rate
n=time
therefore the time taken for Felicia's money to double will be:
350=175(1+4/100)^n
350/175=1.04^n
2=1.04^n
therefore introducing natural longs we get:
ln2=nln1.04
n=(ln2)/(ln1.04)
n=17.7 years
The answer is 17.7 years
Answer:
the answer is 18 years
Step-by-step explanation:
i just did this on 12/8/18 good luck to cheaters
How to divide fractions with whole numbers
Answers
Hope this helps.
Identify the standard form of the equation by completing the square
Answers
[tex]4 x^{2} -8x-(9 y^{2} +36y)-68=0[/tex]
[tex](2x)^{2} -2*(2x)*2-((3y)^{2} +2*(3y)*6)-68=0[/tex]
add and subtract 2^ to the x-expression and 6^ to the second expression to complete the square.
[tex][(2x)^{2} -2*(2x)*2+4]-4-((3y)^{2} +2*(3y)*6+36-36)-68=0[/tex]
[tex](2x-2)^{2} -4-((3y+6)^{2} -36)-68=0[/tex]
[tex](2x-2)^{2} -(3y+6)^{2} -4+36-68=0[/tex]
[tex](2x-2)^{2} -(3y+6)^{2} -36=0[/tex]
[tex](2x-2)^{2} -(3y+6)^{2} = 6^{2} [/tex]
divide by 6 squared
[tex]( \frac{2x-2 }{6} )^{2} -( \frac{3y+6}{6} )^{2} =1[/tex]
[tex]( \frac{x-1 }{3} )^{2} -( \frac{y+2}{2} )^{2} =1[/tex]
[tex] \frac{ (x-1)^{2} }{9} - \frac{(y+2)^{2}}{4} =1[/tex]
Answer: A
WILL MAKE BRAINLIEST!!! A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims, that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.
Answers
We can use the cosine rule when we know the length of two sides and the angle opposite the side that is unknown. For example, referring to the second diagram, we know the length of side a and side b and we are looking for the length of side c. We also know the angle that is located on the opposite of side c, then to solve this we can use the cosine rule
c² = a² + b² - 2ab(cos(C°))
The third diagram shows a scenario when sine rule can be used. Say we need the length of the side c. We know the length of side a, the size of angle A° and angle C° then we can use the sine rule
[tex] \frac{c}{sin(C)} = \frac{a}{sin(A)} [/tex]
We can also use sine rule if we know length of side b and the size of angle B° instead of side a and angle A°
Lukas graphed the system of equations shown. 2x + 3y = 2 y = x + 3 What is the solution to the system of equations? (–2, 2) (0, 0.67) (0, 3) (1, 0)
Answers
The solution to the given system of linear equations is (-1.4, 1.6).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are 2x+3y=2 -----(i) and y=x+3 -----(ii)
Substitute, equation (ii) in equation (i), we get
2x+3(x+3)=2
2x+3x+9=2
5x=-7
x=-7/5
x=-1.4
Substitute x=-1.4 in equation (ii), we get
2(-1.4)+3y=2
-2.8+3y=2
3y=2+2.8
3y=4.8/3
y=1.6
So, the solution is (-1.4, 1.6)
Therefore, the solution to the given system of linear equations is (-1.4, 1.6).
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[tex]-2y + y - 3 = 6
[/tex]
Answers
If a weighted score for a project is based on just two criteria, fit with strategy, weighted 70% and roi, weighted 30%, what would be the weighted score for a project with scores of 80 on fit with strategy and 50 on roi?
Answers
Final answer:
To calculate the weighted score for a project, apply the weights to the scores for each criterion and sum the results. The calculated weighted score for a project with scores of 80 on 'fit with strategy' (70% weight) and 50 on 'ROI' (30% weight) is 71.
Explanation:
To calculate the weighted score for a project based on the provided criteria, you need to apply the weights to the scores for each criterion and then sum the results. In this case, the criteria are 'fit with strategy' which has a weight of 70% and 'ROI' which has a weight of 30%.
The weighted score for 'fit with strategy' is calculated as follows:
(Score for 'fit with strategy' × Weight of 'fit with strategy') = (80 × 0.7) = 56.
The weighted score for 'ROI' is calculated as follows:
(Score for 'ROI' × Weight of 'ROI') = (50 × 0.3) = 15.
To find the total weighted score for the project, you add these two results together: 56 (from fit with strategy) + 15 (from ROI) = 71.
Therefore, the total weighted score for the project is 71.
Which Act protects consumers against inaccurate and unfair practices from credit card companies and lenders? The ______ in Lending Act protects consumers against inaccurate and unfair practices from credit card companies and lenders.
Answers
Hope this helped!
Answer:
Truth
Step-by-step explanation:
If the problem is 7+(-5) how many spaces do you move to the right or left
Answers
Addition of a negative is the same as subtraction.
"It was you who awoke me last summer out of a life-long stupid dream" write the conclusion for this quote
Answers
hope this helps
Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π? (?
Answers
the x-intercepts of the graph of f, are the zeros of f, that is the solutions of f(x)=0.
so we solve
[tex]-4cos(x- \frac{ \pi }{2})=0[/tex]
[tex]cos(x- \frac{ \pi }{2})=0[/tex]
at this point we ask ourselves, keeping the unit circle in mind, "cosine of what is 0?"
In the unit circle, from 0 to 2π radians,
cos 90° = cos (π/2) rad = 0
and
cos 270° = cos (3π/2) rad = 0
this means that
i)
[tex]x- \frac{ \pi }{2}= \frac{ \pi }{2}[/tex]
[tex]x= \pi [/tex]
and
ii)
[tex]x- \frac{ \pi }{2}= 3\frac{ \pi }{2} [/tex]
[tex]x=3\frac{ \pi }{2} +\frac{ \pi }{2}=2 \pi [/tex]
ii) also, check that [tex]f(0)=-4cos(0- \frac{ \pi }{2})=-4cos(-\frac{ \pi }{2})[/tex] is also 0, because cos (-pi/2)= cos (-90°)=cos 270°=0
Answer:
x=0, x=π, and x=2π
Solve the equation using square roots. x^2-15=34
Answers
First, let's take a look at our equation.
[tex] x^{2} [/tex] - 15 = 34
We need to isolate x^2 to completely square root both sides properly, so let's do so.
Add 15 to both sides to isolate [tex] x^{2} [/tex].
We are now left with:
[tex] x^{2} [/tex] = 49
Now, square root both sides.
[tex] \sqrt{x^2} [/tex] = x
[tex] \sqrt{49} [/tex] = 7
We are now left with the solution:
x = 7
I hope this helps!
X^2=49 square both sides
X=7
Explain 2 other ways other than rotating 180 degrees counterclockwise or clockwise, that would allow the point to find it’s way to the same place from its original position. Hint: You may combine transformations.
Answers
Notice that a 180° rotation clockwise or counterclockwise (around the origin) send any point P(a, b) to a point with coordinates (-a, -b).
this means the number values of the respective x and y coordinates are the same, but the signs are different.
for example rotating point P(-3, 17) 180 degrees results in point (3, -17)
check picture 2.
reflecting point P(a, b) with respect to :
the y-axis results in point (-a, b)
the x-axis results in point (a, -b)
for example , consider point P(-3, 17)
reflecting this point with respect to the y axis, results in (3, 17)
reflecting (3, 17) with respect to the x-axis results in (3, -17)
So the effect of reflecting with respect to the y axis, the x axis (the other way around is the same) results in the same point as rotating 180 degrees.
Answer:
1) reflect with respect to the y-axis, then reflect this last point with respect to the x-axis
2) reflect with respect to the x-axis, then reflect this last point with respect to the y-axis
Find the area of a rectangular almond orchard that is 200 yards long and 100 yards wide.
300 square yards
2100 square yards
2000 square yards
20000 square yards
Answers
A = 200 * 100
A = 20,000 square yards
I NEED THIS ANSWER NOWWWW PICTURE ATTACHED
Which system of inequalities is represented by the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
Answers
For the purple area, let's choose a point (1,0), which is in the area.
For y = 2x -> 2 >0, so the inequality will be y ≤2x
For y = -2x - 1 -> -3 < 0, so the inequality will be y ≥ -2x - 1
You can use the similar approach to find other area representations