Answer:
a. 0
Step-by-step explanation:
hope this helps!
The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, 9/(n²+1) = (n+3)/4.
Here, 9×4=(n²+1)×(n+3)
36=n²(n+3)+1(n+3)
36=n³+3n²+n+3
n³+3n²+n+3-36=0
n³+3n²+n-33=0
The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.
Dividing both sides of the equation by n-1, we get:
n²+3n+33/(n-1)=0
Factorizing the numerator, we get:
(n+11)(n+3)=0
Solving this equation, we get n=-11 and n=-3.
Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
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Subtracting a positive number gives the same result as adding the number which is its opposite. Is the opposite positive or negative?
Answer:
Step-by-step explanation:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
What is the equation of the graphed line written in standard
form?
X-4y=4
X+4y=4
Y=1/4x-1
Y=-1/4x-1
Explanation:
Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.
Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.
To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)
Plug in (x,y) = (0,-1)
x-4y = 4
0-4(-1) = 4 ... replace x with 0, replace y with -1
0+4 = 4
4 = 4 ... true equation, so the point (0,-1) works
Now try the other point
x-4y = 4
4-4(0) = 4 .... plug in (x,y) = (4,0)
4-0 = 4
4 = 4 ... works as well
Both points make the equation true, so they are both on the same line.
PLEASE HELP ME GREATLY APPRECIATE IT
Answer:
D
Step-by-step explanation:
Look at the attachment
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
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PLEASE HALP THIS IS DUE TODAY!!!!!
Abe can paint the room in 15 hours, Bea can paint 50 percent faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paint the room and works alone for the first hour and a half. Then Bea joins Abe, and they work together until half the room is painted. Then Coe joins Abe and Bea, and they work together until the entire room is painted. Find the number of minutes after Abe begins for the three of them to finish painting the room.
90 + 12/5 x 60=90 + 144 +100= 334
so 334 would be your answer
The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes
We are told that Abe can paint the room in 15 hours.
Converting to minutes gives; 15 × 60 = 900 minutes
If the area of the room to be painted is x.
Then area painted per minute is; x/900
Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900
Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900
Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10
Now, Bea joins Abe, and they work together until half the room is painted. Thus;x/10 + (x/900)t + (1.5x/900)t = x/2
Multiply through by 900 to get;
90x + xt + 1.5xt = 450x
Divide through by x to get;
90 + t + 1.5t = 450
2.5t = 360
t = 360/2.5
t1 = 144 minutes
Now, Coe joins Abe and Bea, and they work together until the entire room is painted. Thus;(x/900)t + (1.5x/900)t + (2x/900)t = x/2
Multiply through by 900/x to get;
t + 1.5t + 2t = 450
4.5t = 450
t = 450/4.5
t2 = 100 minutes
Thus, total time = 144 + 100
Total time = 244 minutes
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HELP ME PLEASE!!
I don't understand the question...
If possible, please explain!
Answer:
SSS
Step-by-step explanation:
We know 2 of the sides are equal
The thirds side is the same length by the reflexive property since it is the same side
The triangles are congruent by SSS or the side side side postulate
Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?
Answer:
13.34
Step-by-step explanation:
Answer:
15 miles is the answer, I hope this helps
Step-by-step explanation:
1. Set up a proportion
2. Convert 2 hours to 120 minutes
3. Cross multiply then divide the remaining number in the proportion
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
HELP WITH WORD PROBLEM - The quality control engineer of top notch tool company finds flaws in 8 of 60 wrenches examined. Predict the number of flawed wrenches in a batch of 2400
Answer:
The expected ratio: 8/60 = x/2400
=> The number of flawed wrenches in a batch of 2400:
x = 2400*8/60 = 320
Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone.
Answer:
1st one is 1/3. The 2nd one is πr²h. The Last one is 1/3πr²h.
Step-by-step explanation:
The formula for the volume of a cone with the same base and height will always be 1/3 the volume of a cylinder. The exact formula for the volume of a cylinder is just πr²h. So, if a cone is 1/3 of that, it will result in 1/3πr²h.
What is the answer to this???
Answer:
Option C.
Step-by-step explanation:
It is given that each pair of polygon is similar.
From the given figure it is clear that,
[tex]\angle E=\angle B=83^\circ[/tex]
[tex]\angle F=\angle C=69^\circ[/tex]
[tex]\angle G=\angle D=129^\circ[/tex]
[tex]\angle H=\angle A=79^\circ[/tex]
Corresponding angles of similar figures are congruent. So,
[tex]EFGH\sim BCDA[/tex]
Corresponding sides of similar figures are proportional.
[tex]\dfrac{GH}{DA}=\dfrac{HE}{AB}[/tex]
[tex]\dfrac{6.4}{3.2}=\dfrac{9.6}{4x}[/tex]
[tex]2=\dfrac{9.6}{4x}[/tex]
[tex]8x=9.6[/tex]
[tex]x=1.2[/tex]
The value of x is 1.2 units.
[tex]AB=4x=4(1.2)=4.8[/tex]
[tex]CB=6x-2=6(1.2)-2=7.2-2=5.2[/tex]
Scale factor is
[tex]k=\dfrac{EF}{BC}=\dfrac{10.4}{5.2}=2[/tex]
Therefore, the correct option is C.
what is the answer to 7+6y >19 ?
Answer:
[tex]y>2[/tex]
[tex]\{y\in \mathbb{R}|y>2\}[/tex]
The interval notation is: [tex](2, \infty)[/tex]
Step-by-step explanation:
[tex]7+6y>19[/tex]
[tex]6y>12[/tex]
[tex]y>2[/tex]
Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?
Answer: $4107.74
Step-by-step explanation:
what is the probability of spinning different numbers when the spinner below is spun twice
Answer:
25%
Step-by-step explanation:
Need answer please and thank you ASAP
Answer:
2
Step-by-step explanation:
Answer:
The person above me correct, The answer is 2
Step-by-step explanation:
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
Vanessa drew a line that was 6 inches long. She divided the line into 7 equal-length segments.
How long was each segment?
7/6 in
1/7in
13in
6/7in
Answer:
1/7
Step-by-step explanation:
You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?
Answer:
6/5
Step-by-step explanation:
orginal recipe=8/2=4
Amt of sugar=3/10*4=12/10=6/5
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Which polygon is a base of the triangular prism?
Which polygon is a lateral face of the triangular prism?
D
G
с
Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.
Step-by-step explanation:
(D, G and c in the question are unclear.)
Answer:
polygon face - DFG ;; lateral face - DFBA
Step-by-step explanation:
got it right on edge
Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?
NEED IN 5 MINUTES
Answer:
Average speed is (total distance)/(total time).
To find the total time we need to do some division.
Time for 200 miles=200/50=4 hours.
Time for 100=100/40=5/2 hours.
Total time=13/2 hours. Total distance=200+100=300 miles.
Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.
A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the probability that the marble is red, blue, or black?
A.18
B.38
C.58
D.78
Step-by-step explanation:
Total marbles = 12 + 30 + 20 + 10 + 8 = 80
Probability = 12 + 30 + 8 = 50
= 50 / 80 = 5 / 8
Mark is playing a trivia game on his first turn he lost 100 points his second 55 and his third 65 what is his score after the first three scores.
Answer:
-220
Step-by-step explanation:
I need help hurry, please!!
Answer:
C
Step-by-step explanation:
Hope this helped stay safe!Answer: the answer is C !
Step-by-step explanation:
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
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Lena has painted 3/4 of a room.
She has used 1 1/2 gallons of
paint. How much paint will
she need for the whole room?
Answer:
2 gallons
Step-by-step explanation:
she painted 3/4 of the room already and that took 6/4 to do if you do improper fraction and a common denominator. so it is taking her double the numerator so to paint 4/4 of the room or 1 whole room it would take 2 gallons. I hope this makes sense.
Which is correct?
O A. 463 < 437
OB. 763 > 746
OC. 674 < 643
OD. 734 > 743
O E. 634 > 647
Answer:
B
Step-by-step explanation:
763 is greater 746
Answer:
if my math is right its B
Hey guys, Thank you guys so much for all your help. I need help one more time. Please and Thank you. <3
Answer:
For Figure A, dilation. Figure D, rotation. Figure B, reflection. Figure C, rotation. Figure E, translation. For the bonus: 1 to 2: translation. 2 to 3: rotation.
Step-by-step explanation:
In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Answer:
= 3 3/5 yards
Step-by-step explanation:
If 1 piece = 3/5 yard
What about 6 pieces = ?
= (6 x 3/5) ÷ 1
= 18/5 ÷ 1
= 18/5
= 3 3/5 yards
A customer states that she was shorted in change by receiving only 23 cents change from $3.00
dollars instead of 32 cents. How would you handle this?
Answer:
First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.
(P.S: sorry if it was a little confusing lol)
