Answers
Answer:
[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]
so finallyX=13and y=6-------------------------Related Questions
What does this mean exactly?
Answers
Answer: Choice B [tex]y \le 0[/tex]
========================================================
Explanation:
They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.
The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.
So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]
Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.
The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]
One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".
Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.
a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Answers
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
To know more about Force
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Need all these questions answer plz
Answers
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
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Polynomial root calculator
Polynomial long division
Related links
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Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
the solution of equation x × 3=0 is
Answers
Answer:
x=0
Step-by-step explanation:
Regroup terms:
3x=0
Divide both sides by 3:
3x divided by 3 = x
0 divided by 3 = 0
x=0
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answers
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answers
Answer:
Step-by-step explanation:
I & III look good
help pls ?? anyone ?? :(
Answers
7. yes
8. yes
9. no
10. no
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answers
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?
Answers
Given:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).
To find:
The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.
Solution:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then
[tex]A(2,3)\to A_1(2,-6)[/tex]
[tex]B(5,6)\to B_1(5,-3)[/tex]
[tex]C(8,6)\to C_1(8,-3)[/tex]
[tex]D(8,3)\to D_1(8,-6)[/tex]
Then the figure rotated 180 degrees clockwise about the origin. So,
[tex](x,y)\to (-x,-y)[/tex]
[tex]A_1(2,-6)\to A'(-2,6)[/tex]
[tex]B_1(5,-3)\to B'(-5,3)[/tex]
[tex]C_1(8,-3)\to C'(-8,3)[/tex]
[tex]D_1(8,-6)\to D'(-8,6)[/tex]
So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".
Therefore, the correct option is D.
0 -x + y = 1
9x – 7y = 1
Answers
Answer:
X = 4 and Y = 5
Step-by-step explanation:
The area of a square garden is 9ft. How long is each side of the garden
Answers
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
Learn more about the area, length, and width at https://brainly.com/question/25292087
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someone help with this ASAP I HAVE FEW MINS !!!
Answers
Answer:
Symmetric
Step-by-step explanation:
A computer store pays sales associates $10 per hour
and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total
hours worked by managers is 50, how much will the
store pay in wages?
Answers
Answer:
They pay a total of $1750.
Step-by-step explanation:
You multiply the hours by the pay per hour SO,
Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"
Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"
Add the total sums ($750 + $1000) and get a total of $1750
Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?
Answers
Answer:
the product of the two integers is -80
Answer:
-80
Explanation:
it was on a mathcounts competition
John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.
Answers
Answer:
Step 4!!!
Step-by-step explanation:
Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?
Answers
Answer:
[tex]280 \: dollars[/tex]
Step-by-step explanation:
[tex]3500 \times .08 = 280[/tex]
Simple as that ^^^ Just find 8% of 3500
280,00$
8% of 3500$ equals to
(8/100)*3500=
280,00$=
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answers
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
Find the length of AB if AC = 18 and BC = 7.
Answers
18-7
Answer
AB=11
Find the slope of the line
(1,-5),(-4,0)
Answers
Y^2-Y^1/X^2-X^1
0-(-5)/-4-1
5/-5
-1
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answers
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
Which expression is equivalent to 5 (h + 9)?
Answers
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
12) Which name we can give to these triangle
Answers
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answers
Answer:
Answer is A. I get it right. :3
Answer:
a
Step-by-step explanation:
Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
Which student rounded properly?
Answers
Answer:
c is the answer
Step-by-step explanation:
Line AB is 14 inches long. What is the approximate area of the circle?
615.44 inches
21.98 inches
153.86 inches
43.96 inches
Answers
Answer:
The third one is closest
Step-by-step explanation:
half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804
What is the value of f(x) = 3x -12 for anx = 9
Answers
Answer:
15
Step-by-step explanation:
f(x) = 3x -12 for x = 9
f(9) = 3(9) -12
27-12
15
Which of the following is an example of the atmosphere interacting with the biosphere?
Answers
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answers
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
The sum of triple a number d and 5
(it’s translating expressions)
Answers
Answer:
3d+5
Step-by-step explanation: