Answers
9514 1404 393
Answer:
(x, y) = (1/2, 1)
Step-by-step explanation:
Subtract twice the second equation from the first to eliminate the x-variable.
(2/x +3/y) -2(1/x -4/y) = (7) -2(-2)
11/y = 11 . . . . . . . simplify
y = 1 . . . . . . . . multiply by y/11
__
Substituting into the second equation gives ...
1/x -4/1 = -2
1/x = 2 . . . . . . add 4
1/2 = x . . . . . . multiply by x/2
The solution is (x, y) = (1/2, 1).
_____
Additional comment
The attached graph seems to show that the graphs of the two equations also intersect at (x, y) = (0, 0). However, careful consideration of these equations leads to the conclusion that x=0 and y=0 are not in the domain of either equation. (Division by 0 is undefined.) So, the only solution is (x, y) = (1/2, 1).
If you were to multiply both equations by xy to eliminate fractions, you would, indeed, arrive at the conclusion that (x, y) = (0, 0) is a solution. As we noted, that "solution" is extraneous. Whenever you multiply an equation by an expression that can have the value 0, you need to be careful to exclude any "solution" that makes that expression 0.
Related Questions
Which of the following is the best example of kinetic energy?
A book sitting on a bookshelf
A golfer preparing to putt the ball
A race car in position at the start line
A satellite orbiting the Earth
Answers
Answer:
i had this question a little while back and the right answer was
d. a satellite orbiting the Earth.
(:
Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%
Answers
9514 1404 393
Answer:
15.78%
Step-by-step explanation:
Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...
159.00 = 6(x(167.91))
x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%
Alec will need to save 15.78% of his pay.
_____
Additional comment
We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
:b. 5/8
c. 6/8
d. 1/8
Answers
Answer:
B. [tex]\frac{5}{8}[/tex]
Explanation:
Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.
One positive number is 2 more than twice another. If their product is 1012, find the numbers.
Answers
Answer:
46 and 22
Step-by-step explanation:
22 x 2 = 44
44 is 2 less than 46
46 x 22 = 1012
An artillery shell leaves a cannon at a speed of 400 meters per second. What is its speed in miles per hour
Answers
The speed is 894.775 mile per hour.
What is the speed?The certain distance travelled in certain time is speed.
Speed = distance/time.
How to calculate the speed in mile per hour?1 meter per second = 2.23694 mile per hour
Therefore, 400 meter per second = (400*2.23694) mile per hour
=894.775.
Learn more about speed here :
https://brainly.in/question/27709746
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Who ever gets it correctly gets 100 points
Answers
Answer:
A,C,D
Step-by-step explanation:
a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?
Answers
if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.
Answers
Step-by-step explanation:
x-1=0
x=1
subtitute value of x
p(x)=x^3+ax^2+bx
p(1)=(1)^3+a(1)^2+b(1)
p(1)=1+a+b
as p(x) =6. (given)
1+a+b=6
a+b=6-1
a+b=5
Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.
Answers
Answer:
Ig its 22:3
Step-by-step explanation:
First we add all the gifts and put it in the ratio and the other is 3 dvds
If the area of the square above is 144 what is the value of x
Answers
Answer:
It should be 12, but x wasn't defined. My condition could be wrong though.
If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
We have given the area of the square above is 144.
Let x be the side of the given square.
The area of a square = side x side
[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]
Hence, the length of the side is 12 units.
Learn more about the area ;
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If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?
Answers
Answer:
8 zeroes
Step-by-step explanation:
8.2*10^9=8200000000 which has 8 zeroes
find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answers
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].
Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:
[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].
[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].
[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].
Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].
formula if cos2A in terms of multiple angle
Answers
Answer:
1/sec is rhe answer of 2 cos A
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answers
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
Solve for x: 5x + 2 = 4x − 9.
7
−7
11
−11
Answers
Answer:
x= -11
Step-by-step explanation:
5x+2=4x-9 subtract 2 from both sides
5x+2-2=4x-9-2
5x=4x-11 subtract 4x from both sides
5x-4x=4x-4x-11
x= -11
hope that helps>3
Over a period of 1 1/4
-
years
5/
16
in. of tread has worn off a tire. What was the average tread wear per year?
Answers
find the distance between each pair of points if necessary round to the nearest tenth.
17. A(6,7),B(-1,7)
18. C(5,-5),D(5,3)
19. E(-1,0),F(12,0)
20. Q(2,-6),T(10,0)
21. H(20,-4),I(-4,3)
22. J(-5,5),K(-3,-2)
I will give brainliest please help and show work
Answers
Step-by-step explanation:
q17
[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]
q18
[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]
q19
[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]
q20
[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]
q21
[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]
q22
[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]
i need help this question?
5x2 + 7% -2x2 - 10x + 5
Answers
Answer:
[tex] \frac{1107}{100} - 10x[/tex]
Step-by-step explanation:
[tex]5x2 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 4 - 10x + 5[/tex]
➡️ [tex]11 + \frac{7}{100} - 10x[/tex]
➡️ [tex] \frac{1107}{100} - 10x[/tex]
Answer the second question. (pls )
Answers
Answer:
How about c = 15x + 10x?
Step-by-step explanation:
Answer:
i aint too good at this stuff but you can put g=15 and s=10 for the price of just the goby fish and just the shrimp hope this mighta helped
Step-by-step explanation:
32 + 7 + 2 22 + 192 + 24 + 8 22 + 3 + 2 − 22 − 7 − 15 ÷ 2 − 2
Answers
Answer:
So simple question ask some complicated na yrr
Answer:
1265.5
is that right
i think that question is wrong
Help!
Which expression is equivalent?
On edge
Answers
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
0.2 kg
2m
9.8g
Pls help quick
Answers
There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.
Answers
9514 1404 393
Answer:
P = 4z +5
Step-by-step explanation:
The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:
P = z +(z +5) +2z
P = 4z +5
Help!!!!!!!!!!!!!!
2x+3=x-7
Answers
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
Which statement is true regarding the graphed functions?
euf
12
40
B
4
914
2
1 2
3
4.
5
B
X
I f 5 4 3 2 12)
-4
B
be
10
2
141
f(4) = g(4)
f44) = (1-2)
Answers
Maybe upload an image of the choice rather than text since it’s unreadable
26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8
Answers
Answer:
I = $360
Step-by-step explanation:
Calculate the interest I using
I = PRN
with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then
I = $1500 × 0.03 × 8 = $360
Simplify
5(x + 8) - 2x = 7(x + 10)
Answers
Answer:
-15/2
Step-by-step explanation:
5(x + 8) - 2x = 7(x + 10)
=> 5x + 40 - 2x = 7x + 70
=> 3x + 40 = 7x + 70
=> 3x - 7x = 30
=> -4x = 30
=> x = -30/4
=> x = -15/2
Explanation : 5(x) + 5(8) = 5x+40, 5x+40-2x= 3x+40 , 7(x)+7(10)=7x+70
3x+40=7x+70
Can anyone help please?
Answers
Please help
Find the equation to the line below.
1 1
y = [? ]x +
[ ]
Answers
what is the answer to this problem (40+35+2(30+25))/5
Answers
Answer:
37
Step-by-step explanation:
Answ 925
Step-by-step explanation: