6a − 3a2 − 2ab + a2b
Answers
a(a(b — 3) — 2b + 6)
(a — 2) ab + (6 — 3a) a
EXPLANATION
Step 1.
simplify the following:
a²b — 2ab — 3a² + 6a
Step 2.
Factor a out of a²b — 2ab — 3a² + 6a:
a(ab — 2b — 3a + 6)
Step 3.
Factor terms by grouping. ab — 2b — 3a + 6 = (ab — 2b) + (6 — 3a) = b(a — 2) — 3 (a — 2):
ab(a — 2) — 3(a — 2)
Step 4.
Factor a - 2 from b(a — 2) — 3(a — 2):
a(a — 2)(b — 3)
Hope this helps !.
Related Questions
What do you multiply 6 by in order to get -3
Answers
Answer:
-1/2
Step-by-step explanation:
Help plz! I’m so confused
Answers
Answer:
the answer is behind the head and eyes closed pass
S
What is the percent of 1 - 3√(5/35) ?
Answers
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Select the correct answer.
Which statement is true?
A.
The mean lies to the right of the median for a positively skewed distribution.
B.
The mean lies to the left of the median for a positively skewed distribution.
C.
The mean lies to the left of the median for a symmetric distribution.
D.
A distribution skewed to the right is said to be negatively skewed.
E.
A distribution skewed to the left is said to be positively skewed.
Answers
Answer:
The correct answer would be The mean lies to the left od the median for a positively skewed distribution
Step-by-step explanation:
Answer: The mean lies to the left odd the median for a positively skewed distribution
answer as a decimal with 3 significant digits
Answers
Answer:
0.08330.75Step-by-step explanation:
There are four different color marbles.
Probability of blue:
P(B) = 1/4,Next, there are 3 marbles left in the bag since no replacement.
Probability of red after blue:
P(R) = 1/3The probability of these two steps in order:
P(Blue then Red) = 1/4*1/3 = 1/12 = 0.0833Complement of R is:
P(Rc) = 1 - P(R) = 1 - 1/4 = 3/4 = 0.75how to solve this question?
Answers
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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I need help with this right now before it’s due
Grapes
Answers
Answer:
21, 6, 12
Step-by-step explanation:
your welcome:)
14/7=2
42:2=21
3•2=6
24/2=12
Missing numbers are: 21,6 and, 12
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Answers
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Answers
= 20x^2 - 16
(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4
(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14
The price of an item has been reduced by 15%. The original price was $87.
Answers
Answer:
The new cost is $73.95
The discount was $13. 05
Step-by-step explanation:
Turn the % into a decimal so it would be 0.15.
Then multiply it to the total, 87 x 0.15 = 13. 05
so the discount subtracted $13.05 off of the original price.
87 - 13. 05 = 73.95
What is 2+2+2-2+4-8?
Answers
Answer:
Answer- 0
Step-by-step explanation:
2+2+2-2+4-8= 4-2+4-8=0
hope this helps :)
23) Find the center of the circle
Answers
\(\bull\:\)\(\sf{x^2+y^2 -10x+8y + 1= 0}\)
\(\\\)
Solution:-The general form of circle is given by the equation by the equation -
\(\green{ \underline { \boxed{ \sf{x^2+y^2 + 2gx+2fy + c = 0}}}}\)
in which
coordinate of center = (-g , -f )radius of circle = \(\sqrt{g^2+f^2-c}\)❀ Comparing given equation with general form of circle -
g = -5 f = 4c = 1So, Center of Circle = (-(-5), -4)
➥ (5, -4)
\(\\\)
Also, radius of circle = \(\sqrt{(-5)^2+4^2-1}\)
➥ \(\sqrt{25+16-1}\)
➥ \(\sqrt{40}\)
➥ \(2\sqrt{10}\) units .
Tim is choosing between two cell phone plans that offer the same amount of free minutes. Verizon’s plan charges $39.99 per month with additional minutes costing $0.45. AT&T’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
Answers
Answer:
Step-by-step explanation:
tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingulars plan charges $39.99 per month with additional minutes costing $0.45. Verizons plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
Simplify 3\(\sqrt\)2-√2
Answers
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
WILL GIVE BRAINLIEST!!!
A person is shopping for cereal, oranges, and eggs at a grocery store. Which one of the following is an INPUT in this scenario? (which do you have control over?) *
A.The number of cereal boxes purchased
B.The cost per pound of oranges
C.The amount paid for eggs
Answers
53 dL = ______ daL im struggling with this one
.
Answers
Answer:
0.53 daL
Step-by-step explanation:
Max and Ualan are musicians on a 101010-city tour together. Before each concert, a market researcher asks 333 people which musician they are more excited to see. The data is shown in the table below. "U" represents a fan that prefers Ualan, and "M" represents a fan that prefers Max.
Answers
Answer:
0=0.4
1=0.2
2=0.4
3=0
Step-by-step explanation:
I got the answer from khan
How could Marc mathematically try to prove that he hit the ball near the top of the tower?While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is h(x) = -16xsquared + 120x , where h is the height of the ball and x is the number of seconds the ball is in the air. How could Marc mathematically try to prove that he hit the ball near the top of the tower?While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is h(x) = -16xsquared + 120x , where h is the height of the ball and x is the number of seconds the ball is in the air. How could Marc mathematically try to prove that he hit the ball near the top of the tower?
Answers
Answer:
To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.
First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.
Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.
Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.
However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.
3х + 5x
Pls help (sorry if this question got deleted)
Answers
Answer:
8x
Step-by-step explanation:
3x+5x=8x
3+5=8
x is the same variable.
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answers
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Help me with this question no explanation needed or just give it to me
Answers
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
A 4-digit number has the digits 0,5,9 and 3.To the nearest thousand,it rounds to 10,000. What is the number? Explain.
Answers
Answer: 9530
Step-by-step explanation: It has to be 9 in the thousands place to start of. And for it to round to 10,000, it would have to be 5 since it would round up one more thousand. And I would just say 3 because its bigger. Then 0
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
Answers
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
Answers
Answer:
the lcm would be 30 not 60
Step-by-step explanation:
Answer:
the least common multiple is 30 but instead she found the greatest common mutiple.
Step-by-step explanation:
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answers
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Sally used her calculator to work out the value of a number y. The answer on her calculator display began 8.3 Complete the error interval for y.
............................................................ ≤ y < ............................................................
Answers
Answer:
8.3 is to 1d.p so to find the error interval, you divide 0.1 by 2 = 0.05
8.3 + 0.05 = 8.35
8.3 - 0.05 = 8.25
8.25<y<8.35
NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answers
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
You go out to eat at the Outback Steakhouse. Your meal, drink and desert cost $38.56. You are
going to leave the waitress at 15% tip. How much money will you leave the waiter and what is
the total cost of the meal?
I
Answers
Answer:
44.34
Step-by-step explanation:
\(15 \div 100 \times 38.56 = \)
\( = 5.78\)
\(38.56 + 5.78 = 44.34\)
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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