Answer:
-3 37/40
Step-by-step explanation:
which expression is equivalent to the given polynomial expression? (9mn-19m^4n)-(8m^2+12m^4n+9mn)
A. -31m^4n+18mn-8m^2
B. -7m^4n+8m^2
C. -7m^4n+18mn-8m^2
D. -31m^4n-8m^2
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Answer:
D. -31m^4n-8m^2
Step-by-step explanation:
Eliminate parentheses by distributing the minus sign. Then collect terms:
(9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn
= m^4n(-19 -12) +mn(9 -9) +m^2(-8)
= -31m^4n -8m^2 . . . . . matches choice D
Solve the inequality
Step-by-step explanation:
3 - 4(y + 2) <= 6 + 4(2y + 1)
3 - 4y - 8 <= 6 + 8y + 4
-5 <= 10 + 12y
-15 <= 12y
12y >= -15
y >= -15/12 = -5/4
y >= -5/4
y € [‐5/4, oo)
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12
Answer:
B) 5/12, 1/2, 2/3, 3/4, 5/6
Step-by-step explanation:
You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.
2/3 = 8/12
1/2 = 6/12
5/6 = 10/12
3/4 = 9/12
Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)
100x+300y=1.200
(2/3x+10)/100=(y+20)/300
Answer:
x= -4.284 and y= 1.432
Step-by-step explanation:
1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
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Answer:
(x, y) = (4, -2)(x, y) = (3, 2)(x, y) = (7, 12)Step-by-step explanation:
When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.
Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...
ax +by = cdx +ey = gwe can define ...
D = (ae -db)
Then the values of x and y are ...
x = (ce -gb)/D
y = (ag -dc)/D
The attached spreadsheet implements these equations to find the values of x and y.
__
The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:
x -4y = -5
_____
Additional comment
Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]
and the output matrix will look like ...
[tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]
Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
21 and 24
Step-by-step explanation:
21+24=45
Step-by-step explanation:
please mark me as brainlest
Zygmund Oleksik is paid a salary of $800 a week to manage a party store. What amount will he make in one
year working at this job?
x = one week worked
x = $800
Then, Oleksik will earn $416,000 in 52 weeks (one year).
Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
i cant figure out how to do this please help
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Answer:
∠BEC, ∠CED83°139°90°Step-by-step explanation:
When it comes to angles in a plane, the whole is the sum of the parts.
The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.
1. Angles BEC and CED are adjacent complementary angles.
__
2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:
∠AEC = 49° +34° = 83°
__
3. Angle AED is the sum of angle AEB and right angle BED:
∠AED = 49° +90° = 139°
__
4. As we saw above, the marking on the figure tells you ...
∠BED = 90°
Donald is thinking of buying a car but is looking at the annual running costs before he makes a purchase
These are his costs before adding on petrol and maintenance
Cost(£)
Tax - 110
Insurance - 360
Breakdown - 50
What fraction of these costs is his insurance?
3/4
9/13
1/7
5/6
Answer:
Step-by-step explanation:
Can someone help me solve x?
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Answer:
x = 1
Step-by-step explanation:
The diagram is intended to show you that the whole is the sum of the part:
11 = (10x -1) +(2x)
11 = 12x -1 . . . . . . . collect terms
12 = 12x . . . . . . . . add 1 to both sides
1 = x . . . . . . . . . . . divide both sides by 12
The value of x is 1. The lengths of the segments are 9 and 2.
if the lcm of a number is 630 and the HCF is 10 what will be the first number it the second number is 10
Answer:
1000
Step-by-step explanation:
Kara’s Custom Tees experienced fixed costs of $300 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara’s Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 6 shirts.
An equation that can be used to determine the total cost of producing x shirts is C(x)= ___________
The cost of producing 6 shirts is $________
Answer:
c(x)=2x+300 and $312
Step-by-step explanation:
c(6)=2(6)+300
c(6)=12+300=312
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
Evaluate the expression 2b + 5 when b = 3
Answer:
11
Step-by-step explanation:
Step 1:
Since b = 3, substitute 3 into the expression for b
2(3) + 5
Step 2:
2(3) = 6 so the expression is now 6 + 5
Step 3:
6 + 5 = 11
<3 is a supplement of <2 and m<3= 76* Find m<2
Answer:
m < 2 = 104°
Step-by-step explanation:
Given that < 3 is a supplement of < 2, and that m < 3 = 76°, then:
To find the measure of m < 2, all you need to do is subtract the m < 3 from 180°.
m < 2 = 180° - m < 3
m < 2 = 180° - 76°
m < 2 = 104°
y = x ^ 3 - 5x ^ 2 + 6x
Answer:
Step-by-step explanation:
y = x(x^2 -5x + 6) Factor out a common term (GCF)
y = x(x - 2) (x - 3) Factor the trinomial
(x - 2) = 0 (x - 3) = 0 x = 0
Therefore x = 2, 3, or 0
Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)
The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
−5x + 3y > 12
a) (3, 9)
−5x + 3y > 12
-5(3) + 3 (9) > 12
-15 + 27 > 12
12>12
b) (-5, 5)
−5x + 3y > 12
-25 + 15 > 12
-10>12
c) (3, -6)
−5x + 3y > 12
-15 -18 > -12
-23> -12
d) (-2, -5)
−5x + 3y > 12
10 - 15 > 12
-5> 12
e) (2, 8)
−5x + 3y > 12
-10 + 24 > 12
14>12
f) (-6, 0)
−5x + 3y > 12
30 + 0 > 12
30>12
Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
Learn more about inequality here:
https://brainly.com/question/28823603
#SPJ5
Can someone help me pls
Answer:
2.85 x 10^4
Step-by-step explanation:
graph the equation
y=-2x+1
Start by plotting the y-intercept at (0,1).
From that point, count "up 2, right 1" to get a second point on your graph.
If needed repeat that "up 2, right 1" from that second point to get a third point.
Draw the line that connects these 2 or 3 points.
please help me with this sum
Answer:
2880
1950
3960
2240
920
5220
4320
3760
6650
1080
32980 is the sum of all combined
Please allow me to know if this helped you by clicking thank you, rating or brainly!
Miss Hawaii
Answer:
1. 2880
2. 1950
3. 3960
4. 2240
5. 920
6. 5220
7. 5760
8. 3760
9. 6650
10. 1080
Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2
Someone please help ASAP!
Answer:
C -2
Step-by-step explanation:
it's -2 since lxl = -2 or 2
The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?
PLEASE PLEASE HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?
Answer:
75 times
Step-by-step explanation:
Determine the value of x if KL = 4x-2, LM = x +18, and KM = 7x +4.
Answer:
x=6
Step-by-step explanation:
7x+4=4x-2+x+18
2x=12
x=6
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.
2. Convert the following lengths to cm. (a) 15 mm (b) 27 mm (c) 48 mm
Answer:
15 mm = 1.5 cm
27 mm = 2.7 cm
48 mm = 4.8 cm
Which set of ordered pairs does not represent a function?
O {(5, -1),(-3, -3), (8,4),(4, -3)}
O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
O {(-2,1),(-8,0), (6, 7), (8, 7)}
O {(5,-3), (-6,2), (-5,3), (1, 2)}
Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.
Given the diagram, complete the two-column proof and
solve for x.
Answer:
x=7
Step-by-step explanation:
11x+57=15x+29 [Alternate exterior angles]
57-29=15x-11x
28/4=x
7=x
Answer:
Nnnnnnnnnnnnnnn
7x =x
What is the value of the 3 in the number 2.703?
Given number is 2.703.
Its a decimal number
Hence three is not the hundredth place holder.
3 is decimal 1/thousand place holder.See below
[tex]\\ \sf\longmapsto 3\times \dfrac{1}{1000}[/tex]