Simplify the following polynomial and write the answer in standard form.
(-2x^2 +5x² - 4x+8) - (-2x^2 + 2x - 3)
A. 5x^2 - 6x +11
B. –2x+5+5x^2
C. 4x^3 + 5x^2 - 6x - 11
D. 5x^2 - 6x – 11+4x^3
Answers
you wrote it wrong on brainly so i did the work based off the picture you attached.
attached picture work:
(-2x^3+5x^2-4x+8)-(-2x^3+2x-3)
distribute the negative to the second equation and flip the signs inside the parentheses.
(-2x^3+5x^2-4x+8)+(2x^2-2x+3)
cancel out the -2x^3 and the 2x^3
(5x^2-4x+8)+(-2x+3)
add both together
5x^2-6x+11
your answer is A. 5x^2 -6x +11
Related Questions
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
Answers
Answer:
hope this helps you to understand
For 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
W have:
Rate of burning for thicker = h/4
Rate of burning for thinner= h/2
remaining part = h - ht/4
remaining part = h - ht/2
h - ht/4 = 3(h - ht/2)
After solving for t:
t = 8/5 hours
or
t = 96 minutes
Thus, for 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
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A combination lock has 3 dials. The first 2 dials have a setting for digits 0 through 9, and the third has settings for all 26 letters of the alphabet. A combination consists of one setting from each of the dials. How many combinations are possible
Answers
Answer:
There is 2600 combinations possible.
Step-by-step explanation:
The combinations for the first lock has 10 combinations
The combinations for the second lock has 10 combinations
The combinations for the third lock has 26 combinations
The total combinations is the product of all the locks.
There is 2600 combinations possible.
Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of
water, a container with 3.25 liters of water, and a container with 4.85 liters of water. Does she
have enough water? Use estimation only to decide. Explain why you are confident in your
estimate.
Answers
Answer:
Yes, she has enough water.
Explanation:
To estimate the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.
For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13
Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?
To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.
What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.
That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.
A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle.
Answers
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Answer:
a. (-3,2)
b. sqrt(65)
c. (x + 3)² + (y - 2)² = 65
Step-by-step explanation:
Centre:
midpoint of the diameter
(h,k) = (-10+4)/2, (-2+6)/2
(h,k) = (-3,2)
Length of the diameter:
sqrt[(-2-6)² + (-10-4)²]
sqrt(260)
2sqrt(65)
Radius: ½ × diameter
Radius = sqrt(65)
Equation:
(x - h)² + (y - k)² = r²
(x - -3)² + (y - 2)² = (sqrt(65))²
(x + 3)² + (y - 2)² = 65
14, 11,8, 1, 23, 20, 17, 5, 19, 10, 12, 22
Minimum. Q1: Q2: Q3: Maximum
Answers
Answer:
Minimum : 1
Q1 : 8
median or Q2 : 13
Q3 : 20
Maximum : 23
Step-by-step explanation:
Q1 = lower quartile
Q2 = median
Q3 = upper quartile
1 5 8 10 11 12 14 17 19 20 22 23
median or Q2 = 12 + 14 = 26 divided 2 = 13
median = 13
Q1 = 8
Q3 = 20
minimum ( least number) = 1
Maximum ( Greater number ) = 23
Final answer:
The answer explains the statistical measures of minimum, quartiles, and maximum for a given set of numbers in Mathematics at a High School level.
Explanation:
The given numbers are:
Minimum: 1
Q1: 8
Q2: 17
Q3: 20
Maximum: 23
This data represents statistical measures such as minimum, quartiles, and maximum which are essential in data analysis and interpretation in Mathematics at a High School level.
A test has a mean of 65 with standard deviation of 5. What percent of the students would you expect to receive a grade of 55 or more?
a. 2.5%
b. 95%
c. 13.5%
d. 97.5%
e. none of the above
Answers
4x-6 <30
what is the answer?
Answers
Hope this will help u....:)
WORTH BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!What is the solution to the equation x + 3 = 27? 24 30 81 90
Answers
Answer:
should be 24
Step-by-step explanation:
x+3=27
-3 -3 take away 3 on both sides to leave the variable by itself
x = 24
Which two problems below does this model represent?
12 x 2
24 ÷ 6
6 x 4
24 x 6
Answers
Answer:
6 x 4
24 ÷ 6
Step-by-step explanation:
6 x 4 – There are 6 boxes with 4 stars in each box. When something looks like this, it mean multiplication.
24 ÷ 6 – There are 24 stars in total. Those 24 stars are being divided by 6 boxes. In the end there are 4 stars in each box. (So basically, 24 ÷ 6 = 4)
1/7 ÷ 2 =
A.
1
14
B.
5
7
C.
1
2
7
D.
2
1
5
Answers
Hey there!
1/7 ÷ 2
= 1/7 ÷ 2/1
1/7 ÷ 2/1
Revert 2/1 to 1/2
1 × 1 / 7 × 2
1 × 1 = 1 ⬅ your NUMERATOR (top number)
7 × 2 = 14 ⬅ your DENOMINATOR (bottom number)
1(1) / 7(2) = 1/14
Answer: 1/14 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
One number is 6 more than another. Twice the larger number is 5 times the smaller. Which is the smaller number?
Answers
Answer:
4
Step-by-step explanation:
do the math plug it in
4 + 6 = 10,
10 x 2 = 20
20/5 = 4
The value of the smaller number is 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's start by translating the given information into equations.
We can use variables to represent the two numbers, and use the given information to write equations in terms of those variables.
Let x be the smaller number.
Then the larger number is 6 more than x, which we can write as (x + 6).
Twice the larger number is 5 times the smaller, which we can write as:
2(x + 6) = 5x
Now we can solve for x:
2x + 12 = 5x
Subtracting 2x from both sides, we get:
12 = 3x
Dividing both sides by 3, we get:
x = 4
Therefore,
The smaller number is 4.
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The diagram below shows scalene triangle WXY. The measure of ZWXY is 710
Answers
Answer:
[tex]m\angle WYX=46^o[/tex]
[tex]m\angle YWX=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
A scalene triangle has three different interior angles and three different length sides
In this problem
[tex]m\angle WYX=46^o[/tex] ----> by vertical angles
[tex]m\angle WXY=71^o[/tex] ----> is given
Find the measure of the third angle ∠YWX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
[tex]46^o+71^o+m\angle YWX=180^o[/tex]
[tex]m\angle YWX=180^o-117^o=63^o[/tex]
Verify each statement
1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)
2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)
3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees
4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]
5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]
The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.
Explanation:The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.
Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.
How much is 9 1/12 - 7 1/3?
Answers
Answer:
1.75 or 1 3/4
Step-by-step explanation:
Answer:
1 3/4
Step-by-step explanation:
Find a common denominator for both fractions
9 1/12 - 7 4/12 = 1 9/12 = 1 3/4
Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat
and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
Answers
Answer:
A = {KL}
Step-by-step explanation:
Since we have given that
There are three person : Joe, Keitaro, Luis.
And two names will be selected for he game .
Possible events will be
But we want to find the complement of the event in which Joe plays in hte first match,
As we know that complement of any events means eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by
So, complement of this event that Joe plays in the first match is given by
The possible events are:
{JK, JL, KL}
The events where J does not play (the first game) are: {KL}
Answer: A = {KL}
The complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
What is a complement of an event?Complementary events are two events that exist such that one event will occur if and only if the other does not take place.
Given that, Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
There are three persons: Joe, Keitaro, Luis.
There are two names to be selected for the game.
Possible events will be = {JK, JL, KL}
But we want to find the complement of the event in which Joe plays in the first match,
As we know that complement of any events means to eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by = {JK, JL}
So, the complement of this event that Joe plays in the first match is given by = {KL}
Hence, the complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
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Glen received $2,250 loan from bank. After six months, he paid back $2,295 and closed the loan. Find the rate of interest
Answers
Answer: 6.824%
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The rate of interest is 4% and this can be determined by using the formula of simple interest.
Given :
Glen received a $2,250 loan from the bank. After six months, he paid back $2,295 and closed the loan.The formula of simple interest can be used in order to determine the rate of interest. The formula of simple interest is given by:
A = P(1 + rt)
where A is the final amount, r is the rate of interest, t is the time period in year and P is the principal amount.
Now, substitute the values of all the known terms in the above formula.
2295 = 2250(1 + 0.5r)
Simplify the above expression in order to determine the value of 'r'.
2295 = 2250 + 1125r
45 = 1125r
r = 0.04
r = 4%
The rate of interest is 4% and this can be determined by using the formula of simple interest.
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According to the diagram, which statement is true?
A) All rhombuses are squares.
B) All squares are rectangles.
C) All rectangles are squares.
D) All parallelograms are rectangles.
Answers
Answer:
B. All squares are rectangles.
Step-by-step explanation:
Answer:
Every square is a rectangle
Step-by-step explanation:
The table shows the cost and number of minutes for different phone cards offered by a company. Which is the BEST VALUE?
A) 175 minutes
B) 200 minutes
C) 425 minutes
D) 545 minutes
Answers
Answer:
175 MinutesStep-by-step explanation:
175 minutes
Unit cost =
cost
number of minutes
$3.50
175
= 2¢;
$7.00
200
= 3.5¢;
$21.25
425
= 5¢;
$38.15
545
= 7¢;
$37.50
625
= 6¢
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
Answers
Answer:
hope this helps you to understand
What is the volume of a refrigerator that is 6 feet high, 2 feet long, and 3 feet wide?
A. 11 cubic feet
B. 36 cubic feet
C. 24 cubic feet
D. 32 cubic feet
Answers
Answer:
B, 36 cubic feet
Step-by-step explanation:
The volume of a rectangular prism can be found by multiplying together all of the side lengths. 6*2*3=36 cubic feet, or option B. Hope this helps!
Volume of a rectangle [ V = h * l * w ]
V = 6 * 2 * 3
V = 12 * 3
V = 36
Therefore, the answer is B. 36 cubic feet
Best of Luck!
Solve the following expression: 2.12 x 10^4 + 3.24 x 10^4 =
Answers
Answer:
5.44x 10^4
Step-by-step explanation:
hello :
2.12 x 10^4 + 3.24 x 10^4 = (2.2+3.24)10^4 = 5.44x 10^4
Can someone help me with this geometry problem please ?
Answers
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Interior angles are just angles between two transversals(p and q).
Simplify.
5(x+2) + 2(x-5)
Α.7x-3
B. 7x
C 7x+ 20
D.0
Ε. 2x +4
Answers
Answer:
B=7x
Step-by-step explanation:
5(x+2)+2(x-5)
5x+10+2x-10
since 10-10=0, it just won't show, there's no need to say "0"
5x+2x+10-10
7x+0
so just
7x
Answer:7x
Step-by-step explanation:
5 times x 5 times 2 = 5x + 10
2 times x 2 times -5 = 2x -10
5x +2x = 7x
10- 10= 0
Variables and expressions answers
Answers
Answer:
could you explain more?
Jillian has 28.75 inches of ribbon. Each inch is 2.54 centimeters
Answers
Answer:
73.025
Step-by-step explanation:
i just looked it up if this helps give me brainliest plz (it'll be my first)
Jillian has 73.025 centimeters of ribbon.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To convert inches to centimeters, we can multiply the length in inches by 2.54, since 1 inch is equivalent to 2.54 centimeters.
So, to find the length of the ribbon in centimeters, we can multiply 28.75 inches by 2.54 centimeters/inch:
= 28.75 inches x 2.54 centimeters/inch
= 73.025 centimeters
Therefore,
Jillian has 73.025 centimeters of ribbon.
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nstead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?
Answers
Answer:
[tex]2, 3, and, 4[/tex]
Step-by-step explanation:
[tex]Pink=P[/tex]
[tex]White=W[/tex]
The equation in this question is modeled by:
[tex]P=2W[/tex]
So all you need to do is put the numbers in this equation!
[tex]4=2W\\6=2W\\8=2W[/tex]
The answers would be:
[tex]2, 3, and, 4[/tex]
Please help, I really don't understand.
Answers
Answer:
A
Step-by-step explanation:
Basically, the definition of a function is a relation on a graph where no two y values have the same x value. This means that a and b are the only options now.
Since the graph is broken up into points, not one line, the range and domain cannot be intervals. So the only logical answer is a
Thank me later :)
The following numerically ordered sequence of numbers has a mean of 17 and a median of 18.
7, a, 12, 15, 17, b, 20, 22, 24, 25
Given this information, the values of a and b must be:
Answers
Answer:
a = 9
b = 19
Step-by-step explanation:
DO B FIRST
The mean is the average of all the terms (numbers) in the sequence
To find the average you find the sum of the terms and divided the sum by the number of terms there are.
The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A
a = 17(10)-7-12-15-17-19-20-22-24-25
a = 170-161
a = 9
The median is found by taking the average of the two middle terms
Our middle terms are 17 and B
the median times 2 equals the sum of the two terms and then subtract the term you know from the sum
b = 18(2)-17
b = 36-17
b = 19
Find the distance between the points (3,-4) and (3,6)
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I used the the distance formula.
f(x)=x^3-9x
What is the average rate of change of f over the interval (1,6]?
Answers
Answer:
34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 6 ]
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8, thus
average rate of change = [tex]\frac{162-(-8)}{6-1}[/tex] = [tex]\frac{170}{5}[/tex] = 34
Final answer:
The average rate of change of the function f(x) = x^3 - 9x over the interval (1,6] is 34.
Explanation:
The average rate of change of a function f(x) over an interval is calculated by taking the difference in the function values at the end points of the interval divided by the length of the interval. For the function f(x)=x^3-9x over the interval (1,6], we calculate the function values at x=1 and x=6, then find the difference, and divide by the interval length, which is 6-1=5. So f(1)=1^3-9(1)=-8 and f(6)=6^3-9(6)=216-54=162. Therefore, the average rate of change is (162-(-8))/5 = 170/5 = 34.
A crane has a cable with a breaking strain of 6400 kg
measured to 2 significant figures.
It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
What is the greatest number of crates that can safely be lifted
at one time without breaking the cable?
Some working must be shown.
Answers
The greatest number of crates that a crane with a breaking strain of 6400 kg can safely lift at one time (with the crate weight marked to the nearest 90 kg) is 71 crates.
Explanation:In this problem, we need to determine the maximum number of crates a crane can lift without breaking its cable. The breaking strain of the cable can be interpreted as the maximum weight, or load, the cable can safely support. This is given as 6400 kg. Each crate the crane is lifting is said to weigh 90 kg.
To find the maximum number of crates that can be safely lifted, we divide the breaking strain (the total load the cable can bear) by the weight of each individual crate. Therefore:
6400 kg (total load) / 90 kg (load per crate) = 71 crates
However, since we can't lift fractions of a crate, we should round down to the nearest whole number, which gives us a maximum of 71 crates that can be lifted safely without the cable breaking.
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To find the maximum number of crates that can be lifted without exceeding the cable's breaking strain of 6400 kg, divide the breaking strain by the weight of one crate (90 kg) and round down to the nearest whole number, which results in 71 crates.
To determine the greatest number of crates that a crane cable with a breaking strain of 6400 kg can lift at one time, you perform a simple division. The weight of each crate is given as 90 kg (measured to the nearest 10 kg).
To ensure safety, you take the total breaking strain of the cable and divide it by the weight of one crate:
Breaking strain of cable = 6400 kg
Number of crates = Breaking strain of cable / Weight of one crate
Number of crates = 6400 kg / 90 kg/crate
Number of crates = 71.111...
Since you cannot lift a fraction of a crate, round down to the nearest whole number.
The greatest number of crates that can be lifted without breaking the cable is 71 crates.