Answers
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
Related Questions
Leshawn has $580 in a savings account that pays 3% interest.
How much interest will be earned in 5 years?
How much interest will be earned in 6 months?
Answers
Answer:
For 5 years $87
For 6 months $8.7
Step-by-step explanation:
To calculate the interests, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the amount invested called the principal = $580
R is the rate = 3%
Time differs which may be 5 years or 6 months according to the question.
kindly note that 6 months is 0.5 year
For 5 years, we have
I = (580 * 3 * 5)/100 = $87
For 6 months, we have;
I = (580 * 3 * 0.5)/100 = $8.7
How would knowing the slope of a linear function help determine whether a function is increasing or decreasing?
Answers
Answer:
3
Step-by-step explanation:
Answer:
If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line
Nine subtracted from the product of 3 and a number is less than 23
Answers
Answer:
3n-9<23
You can use any variable you want for n
Answer:
32/3
Step-by-step explanation:
Nine subtracted from the product of 3 and a number is less than 23
-9 3n < 23
3n-9 < 23
3n < 23+9
3n < 32
n < 32/3
Don't forget to say THANKS
What is the diameter of the smallest circle that would enclose 2,000 pennies?
Answers
Answer:
Almost about 4500 mm
Step-by-step explanation:
Measure the pennies width and estimate. Multilpy by 2000 and there you go!
The value x is
Please help I’m stuck
Answers
Step-by-step explanation:
EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA
VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON
RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA
HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES
5x° = 55°
DESPEJA x
x = 55°/5° = 11
RSTU is a kite, m∠R= 130, and m∠S=80. Find m∠T.
a. 70
b. 80
c. 35
d. 65
Answers
Answer:
70°
Step-by-step explanation:
RSTU is a kite,
m∠R= 130m∠S=80m∠T=?Sum of 4 internal angles= 360°
m∠U=m∠S=80
m∠T= 360° - (130°+80°+80°)= 70°
What is the length of arc S shown below? In units
Answers
Answer:
24 units
Step-by-step explanation:
2πr(X/2π)
2π(8)(3/2π) = 24
Answer:
24cm
Step-by-step explanation:
i got it right on khan
The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answers
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?
Answers
(4+6n)-(3+8n)= 14n+1
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? reasoning Converse Deductive Inductive Indirect
Answers
Answer:
The correct option is;
Deductive
Step-by-step explanation:
Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain
In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answers
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces. The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area is the total of the area of all the faces of the prism.
Hope this helps!
This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!
Answers
Answer: 302 cm2
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)
Surface area of a cube (SAC)= 6 x side length ^2
Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.
SAC = 5 x (2)^2 = 20 cm2
Since both cubes are equal, we simply multiply it by 2:
20 x 2 = 40 cm2 (surface area of the 2 green cubes)
Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw
Where:
w = width (5); l = length (11); h = height (5)
SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2
Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )
270+40-2(4) = 302 cm2
Please help! Correct answer only!
Belle got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 9 movies are scheduled to show, 7 of which feature an alien as the one main protagonist.
If Belle is randomly assigned to clean up after 6 movies, what is the probability that all of them feature an alien as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
Answers
Answer:
Probability ≈ 0.0833
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\[/tex]
[tex]Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7[/tex]
[tex]Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps![/tex]
Solution; Probability ≈ 0.0833
True or false a multiple of 3 must end in 6 or 9
Answers
Answer: False
Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.
Answer:
True
Step-by-step explanation:
find the volume with the explanation if possible <3
Answers
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia
Answers
Answer:
It is 13 quarters.
Step-by-step explanation:
0.25x=3.25
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is not white? Give your answer as a fraction in lowest terms.
Please help!!!
Answers
Answer:
2/3
Step-by-step explanation:
The first person to make me become Brainliest wins the official contest!!! Hurry!
Answer:
I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!
Can I please get help with the awnser and explanation?
Answers
Answer:
x = 32
y = 16
Step-by-step explanation:
As can be seen in the picture (replace x by z), if the long side length is z√3, the other sides are 2z and z, respectively. (Using z to avoid confusion with your pic).
So z = 16, so x=2z=32, y=x=16
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.
Answers
Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
153 is the product of Matt’s age and 9 use the variable m to represent Matt’s age
Answers
Answer:
m = 153/9
Step-by-step explanation:
since it is the product, you need to divide it to be able to get his age/
hope this helps! :)
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
Answers
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
what is 5 1/6 (-2/5) written as a fraction
Answers
Answer:
-17/5
Use math papa it gives you the answer all you have to do is unput the equation
Step-by-step explanation:
which expression is equivalent to 4(5x+3y)
Answers
Answer:
20x + 12y
Step-by-step explanation:
4 times 5x = 20x
4 times 3y= 12y
Step-by-step explanation:
I am going to assume that the equivalent expression is fully simplified.
To simplify this expression, we use the distributive method.
Using this method we get:
4·(5x+3y) = 4·5x+4·3y
Now that we have the terms seperated, simplify each of them:
4·5x + 4·3y = 20x + 12y
Our expression is now fully simplified so our answer is:
20x + 12y
NEED HELP SOON! What is the value of x? x + StartFraction 4 Over 9 EndFraction = three-fourths StartFraction 11 Over 36 EndFraction One-third 1 and StartFraction 11 Over 16 EndFraction 1 and StartFraction 7 Over 16 EndFraction
Answers
Answer:
x=11/36
Step-by-step explanation:
1. Move the 4/9 to the right side to isolate valu e"x."
2. Create a common denominator between "4/9" and "3/4"
3. Your equation should look like this;
x=3/4-4/9
x=27/36-16/36
x=11/36
Answer:
11/36
Step-by-step explanation:
all work is in the image below!
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
please help very fast! Will mark brainliest!
Answers
Answer:
(D) The Last OptionStep-by-step explanation:
Answer:
D
Step-by-step explanation:
What's the chance of NOT rolling a seven using a pair of dice.
Answers
Answer:
5/6
Step-by-step explanation:
total possible = 36
Favorable = 6
1 6
6 1
2 4
4 2
3 4
4 3
Part/whole
6/36
= 1/6
NOT = 5/6
Can someone please help me on this????
Answers
Simplify (4^-2)^5 Pls help
Answers
Answer:
4^-10
Step-by-step explanation:
(4^-2)^5
4^-2 x 5
= 4^-10
hope this helped have fun doing school haha
Answer:
[tex]\frac{1}{32768}[/tex]
Step-by-step explanation:
[tex](4^{-2})^{5}[/tex]
[tex](\frac{1}{4^{2} }) ^{5}[/tex]
[tex](\frac{1}{8})^{5}[/tex]
[tex]\frac{1}{32768}[/tex]
What is the value of x in the equation below? −3x + 14 = 4x − 7 *
Answers
Answer:
x=3
Step-by-step explanation:
-3x+14=4x-7
-3x going to right and -7 is going to left and change sign
14+7=4x+3x
21=7x
21/7=3 , x=3
Answer:
-The value of [tex]x[/tex]:
[tex]x = 3[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]-3x + 14 = 4x - 7[/tex]
-Subtract both sides by [tex]4x[/tex] and combine [tex]-3x[/tex] and [tex]-4x[/tex] together:
[tex]-3x + 14 - 4x = 4x - 4x - 7[/tex]
[tex]-7x + 14 = -7[/tex]
-Subtract both sides by [tex]14[/tex]:
[tex]-7x + 14 - 14 = -7 -14[/tex]
[tex]-7x = -21[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{-7x}{-7} = \frac{-21}{-7}[/tex]
[tex]x = 3[/tex]
So, the final answer is [tex]x = 3[/tex].
Write each statement as an algebraic expression. The quotient of the square of a number n and the cube of n increased by 5.
Will get brainiest answer
Answers
Answer:
n² / (n³ + 5)
