Answers
Answer:
(6, 3)
Step-by-step explanation:
x=6 y=3
2(6) -3 =9
12 -3 = 9
Answer:
(3,-3)
but there are infinately many more.
Step-by-step explanation:
We need to find a pair of numbers that when substituted in 2x-y we get 9.
because this equation is linear there are actually an infinite number of solutions. So all we have to to is pick a random number for x, say 3, and there will only be 1 value of y that will satisfy the equation, so we just plug it in.
let x =3
2x - y = 9 ⇒ 2×3 - y = 9
⇒ 6 -y = 9
⇒ -y = 3
⇒ y = -3
so (3,-3) is a solution
Related Questions
Can someone help me with this
Answers
Answer:
10
Step-by-step explanation:
Since 75 sandwiches have salad this means that 75 - 30 = 45 of them have tuna with salad. Therefore, the amount of sandwiches that have cheese without salad is 100 - (30 + 15 + 45) = 100 - 90 = 10.
The following table represents a probability distribution for a random variable, X. What must P(5) be?
Answers
Answer:
c) 0.1
P(5) = 0.1
Step-by-step explanation:
Given data
x : 0 1 2 3 4 5
p(x): 0.2 0.1 0.3 0.1 0.2 ?
Given data is discrete distribution
if the numbers [tex]P(x_{i} )[/tex] i = 1,2,3..... satisfies the two conditions
i) [tex]P(x_{i} )\geq 0[/tex] for all values of 'i'
ii) ∑P(x) = 1
Given data
i) [tex]P(x_{i} )\geq 0[/tex] for all values of 'i'
ii) ∑P(x) = 1
P(x=1) + P(x=2) +P(x=3) +P(x=4)+P(x=5) =1
⇒ 0.2 + 0.1 + 0.3 +0.1 +0.2 + p(X=5) = 1
⇒ 0.9 +p(5) =1
⇒ p(5) = 1 -0.9
⇒ P(5) = 0.1
A business offers educational tours to Patagonia, a region of South America that includes parts of Chile and Argentina. The profit P for x number of persons is P(x) = −25x^2 + 1250x − 5000. The trip will be rescheduled if the profit is less than $7500. How many people must have signed up if the trip is rescheduled?
Answers
Answer:
13.82 or 14 people
Step-by-step explanation:
Step 1: Set equation equal to 7500
7500 = -25x² + 1250x - 5000
Step 2: Solve
0 = -25x² + 1250x - 12500
0 = -25(x² - 50x + 500)
0 = x² - 50x + 500
When you use the quadratic formula, you should get 13.82, rounded to 14 people as your answer.
Alternatively, we can graph the expression and see where $7500 for x people is.
What is the smallest sample size required to provide a 95% confidence interval for a
mean, if it important that the interval be no longer than 1cm? You may assume that the
population is normal with variance 9cm2.
Answers
Answer:
Don't quote me i think the poulation of 3
Step-by-step explanation:
for 9 suared is 81 so it cant be squared for then it would be 81cm and the one you need can not be longer than 1cm
The minimum sample size should be 35.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
Given:
Variance= 9
So, standard deviation= √9 = 3
and, The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.
Then, Sample size= Critical value x SD / Margin error
= 1.96 x √ 3 / 139
= 34.57
= 35
Hence, the minimum sample size should be 35.
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2.
Find the degree of the monomial. 6x8,y5
Answers
Answer:8
Step-by-step explanation:
I’m guessing it’s like 6*x^8?
The fuel consumption in miles per gallon for a car varies inversely with its weight. Suppose a car that weighs 3,000 pounds gets 28.7 miles per gallon on the highway. Write the equation that relates y, the fuel consumption in miles per gallon, to the car’s weight, w pounds. How many miles per gallon would a car get, if it weighs 4,100 pounds?
Answers
Answer:
y = 86100 / w.
21 miles per gallon.
Step-by-step explanation:
If y is the consumption then:
y = k / w where k is some constant so we have:
28.7 = k / 3000
k = 3000 *28.7 = 86100
So the required equation is y = 86100 / w.
For a car weighing 4100 pounds:
y = 86100 / 4100 = 21 miles per gallon.
The required inverse relation is, yw = 86100.
The car will get 21 miles per gallon if it weighs 4,100 pounds.
What are direct and inverse relations?A direct relation between two quantities implies that the increase in one increases the other and vice-versa.
If quantity a and b are directly related, then we write the relation as a ∝ b, which can be written as a = kb, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.
An inverse relation between two quantities implies that the increase in one decreases the other and vice-versa.
If quantity a and b are inversely related, then we write the relation as a ∝ 1/b, which can be written as a = k/b, or, ab = k, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.
How to solve the question?In the question, we are given that the fuel consumption in miles per gallon (y) for a car inversely varies with its weight (w).
Thus we can write the relation like this:
y ∝ 1/w
or, y = k/w
or, yw = k.
The value of k can be determined using the given value of y = 28.7 miles per gallon and w = 3000 pounds.
Therefore, 28.7*3000 = k
or, k = 86100.
Thus, the required inverse relation is, yw = 86100.
Now, we are asked how many miles per gallon will a car get if it weighs 4100 pounds.
Therefore, w = 4100, y = ?
We know, yw = 86100.
or, y = 86100/w = 86100/4100 = 21.
Therefore, the car will get 21 miles per gallon, if it weighs 4,100 pounds.
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CAN I GET HELP I DONT LIKE WAITING TY
Answers
Answer:
Answer D: Construct Y because it constructs the circumcenter.
Step-by-step explanation:
Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.
Molly completes 3/10 of her science project in 4/5 hour. How much of her science project does Molly complete per hour?
Answers
Answer:
3/8 project per hour
Step-by-step explanation:
Take the part of the project done and divide by the time
3/10 project ÷ 4/5 hours
Copy dot flip
3/10 * 5/4
Rewriting
3/4 * 5/10
3/4 * 1/2
3/8 project per hour
Answer:
3/8
Step-by-step explanation:
3/10 div 4/5
Divide 3/10=0.3 by 4/5=0.8 by multiplying 3/10=0.3 by the reciprocal of 4/5=0.8.
3/10x(5/4)
Multiply 3/10 =0.3 times 5/4 =1.25 by multiplying numerator times numerator and denominator times denominator.
3x5/10x4
Do the multiplications in the fraction 3×5/10x4
15/40 = 0.375
Reduce the fraction 15/40 = 3/8 =0.375 to lowest terms by extracting and canceling out 5.
3/8
John has two jobs. For daytime work at a jewelry store he is paid
$15,000 per month, plus a commission. His monthly commission is
normally distributed with mean $10,000 and standard deviation
$2000. At night he works occasionally as a waiter, for which his
monthly income is normally distributed with mean $1,000 and
standard deviation $300. John's income levels from these two
sources are independent of each other. For a given month, what is
the probability that John's commission from the jewelry store is
between $9,000 and $11,000?
Answers
Given Information:
John's mean monthly commission = μ = $10,000
Standard deviation of monthly commission = σ = $2,000
Answer:
[tex]P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%[/tex]
The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?
[tex]P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\[/tex]
The z-score corresponding to 0.50 is 0.6915
The z-score corresponding to -0.50 is 0.3085
[tex]P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%[/tex]
Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Which is a correct first step in solving 5-2x < 8x - 3?
0 5s 6x - 3
O 3x < 8x - 3
O 5 < 10x - 3
O2 - 2x < 8x
Answers
Answer:
5 < 10x - 3
Step-by-step explanation:
The answer is 5 < 10x - 3 because you are adding 2x to both sides of the inequality.
Find the lateral area of the square pyramid shown to the nearest whole number.
25 yd
A
43 yd
Answers
Answer:
4,300
Step-by-step explanation:
Lateral area of a squared Pyramid is given as ½ × Perimeter of base (P) × slant height of pyramid
Thus, we are given,
Side base length (s) = 43 yd
height (h) = 25 yd
Let's find the perimeter
Permimeter = 4(s) = 4(43) = 172 yd
Calculate the slant height using Pythagorean theorem.
Thus, l² = s²+h²
l² = 43²+25² = 1,849+625
l² = 2,474
l = √2,474
l ≈ 50 yd
=>Lateral area = ½ × 172 × 50
= 172 × 25
= 4,300 yd
Find the area:
A.16
B.64
C.256
D.none of these
Answers
Answer:
64π in²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
where r is the radius.
The radius of a circle is half the diameter. For the circle shown, the radius is ...
r = d/2 = (16 in)/2 = 8 in
Then the area is ...
A = π(8 in)² = 64π in²
_____
Often, units are left off, so the appropriate choice might be 64π.
_____
If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.
The mean income per person in the United States is $43,500, and the distribution of incomes follows a normal distribution. A random sample of 14 residents of Wilmington, Delaware, had a mean of $50,500 with a standard deviation of $11,400. At the 0.010 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average?
(a) State the null hypothesis and the alternate hypothesis.
H0: µ = =
H1: µ > =
(b) State the decision rule for .01 significance level. (Round your answer to 3 decimal places.)
Reject H0 if t > =
(c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic =
Answers
Answer:
a)
Null hypothesis : H₀:μ = $43,500
Alternative Hypothesis : H₁ : μ ≠ $43,500
b)
The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance
Null hypothesis is accepted
c)
The calculated value t = 2.2975 < 1.7709
The residents of Wilmington, Delaware, have more income than the national average
Step-by-step explanation:
Step(i):-
Given mean of the Population = $43,500,
Given mean of the sample = $50,500
Given standard deviation of the sample = $11,400.
level of significance = 0.01
Step(ii):-
a)
Null hypothesis : H₀:μ = $43,500
Alternative Hypothesis : H₁ : μ ≠ $43,500
b)
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{50,500 -43,500}{\frac{11400}{\sqrt{14} } }= 2.2975[/tex]
Degrees of freedom
ν =n-1 = 14-1 =13
The critical value
[tex]Z_{\frac{0.01}{2} } = Z_{0.05} = 1.7709[/tex]
c)
The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance
Null hypothesis is accepted
Conclusion:-
The residents of Wilmington, Delaware, have more income than the national average
Triangles M Z K and Q Z K share side Z K. Angles M K Z and Z K Q are congruent. Angles K Z M and K Z Q are both right angles. Which rigid transformation would map TriangleMZK to TriangleQZK? a rotation about point K a reflection across the line containing MZ a reflection across the line containing ZK a rotation about point Z
Answers
Answer:
a reflection across the line containing ZK
Step-by-step explanation:
If you draw the figure, you see it is symmetrical about line ZK. Hence reflection across that line (ZK) will map one triangle to the other.
Answer:
reflection across the line containing ZK
Step-by-step explanation:
How To Solve This Problem
1. Understand what has to be true for each transformation.
Dilation: triangles NOT congruentTranslation: triangles in same directionRotation: triangles in different direction, do not share a sideReflection: share a side OR a line can be drawn equidistant from both triangles at all points on the segment side, MUST BE congruent2. Determine what characteristics the triangle fits.
3. The answer is is D. Reflections
4. As you can see the triangles are congruent by ASA (angle-side-angle).
5. If reflected across line ZK the pre-image is the same as the image. Therefore this is true.
A primary care clinic’s line-item operating budget shows
Salaries $1,000.000
Rent $300,000
Utilities $50,000
Depreciation $80,000
Total Expenses $1,430,000
The clinic has two major programs: scheduled visits and no appointment walk-ins. One-fourth of the salaries are attributable to the walk-in program. Rent and depreciation are allocated on a 50/50 basis with half for each program. Only 20% of the utilities are attributable to the walk-in program. What is the cost of the walk-in program?
a) $980,000
b) $715,000
c) $450,000
d) None of the above
Answers
Answer:
c) $450,000
Step-by-step explanation:
The calculation of the cost of the walk-in program is shown below:-
Cost of the walk-in program = 1 ÷ 4 × Salaries + 1 ÷ 2 × (Rent + Depreciation) + 1 ÷ 5 × (Utilities)
= 1 ÷ 4 × $1,000,000 + 1 ÷ 2 × ($300,000 + $80000) + 1 ÷ 5 × $50,000
= $250,000 + $190,000 + $10,000
= $450,000
Therefore for computing the cost of the walk-in program we simply applied the above formula.
How many unique values can be created by forming the fraction $\frac{x}{y}$ where $x$ is either 4, 8, or 12 and $y$ is either 4, 8, or 12?
Answers
Answer:
7 unique values can be created.
[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]
Step-by-step explanation:
We need to find unique values that can be created by forming the fraction
[tex]\dfrac{x}{y}[/tex]
where, [tex]x[/tex] is either 4, 8, or 12 and [tex]y[/tex] is either 4, 8, or 12.
Now, possible ordered pairs are (4,4), (4,8), (4,12), (8,4), (8,8), (8,12), (12,4), (12,8), (12,12).
For these ordered pairs the value of [tex]\dfrac{x}{y}[/tex] are:
[tex]\dfrac{4}{4},\dfrac{4}{8},\dfrac{4}{12},\dfrac{8}{4},\dfrac{8}{8},\dfrac{8}{12},\dfrac{12}{4},\dfrac{12}{8},\dfrac{12}{12}[/tex]
[tex]1,\dfrac{1}{2},\dfrac{1}{3},2,1,\dfrac{2}{3},3,\dfrac{3}{2},1[/tex]
Here, 1 is repeated three times. So, unique values are
[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]
Therefore, 7 unique values can be created.
A company president flew 990 miles in a corporate jet but returned in a smaller plane that could fly only half as fast. If the total travel time was 9 hours, find the speeds of the planes. corporate jet ________ mph smaller plane ________ mph
Answers
I'm not completely sure but I think the answer is:
corporate jet 16.5 mph
smaller plane 33 mph
Good luck
Bucket contains 425 mL of water. The capacity of water in the bucket decreases 4.8% each hour. Which equation models the situation?
Answers
Answer:
[tex]V(t) = 425(0.952)^{t}[/tex]
Step-by-step explanation:
The amount of water in the bucket after t hours, in mL, can be modeled by an equation in the following format:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial amount, and r is the constant decay rate, as a decimal.
Bucket contains 425 mL of water.
This means that [tex]V(0) = 425[/tex]
The capacity of water in the bucket decreases 4.8% each hour.
This means that [tex]r = 0.048[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 425(1-0.048)^{t}[/tex]
[tex]V(t) = 425(0.952)^{t}[/tex]
What is the inverse of 520/2 = 260?
260/520 = .5
260 * 2 = 520
2/520 = .004
260 * 520 = 135,200
Answers
Answer:
The answer is 260 * 2 = 520
Step-by-step explanation:
520/2 = 260
Multiply both sides by 2
We have
260 × 2 = 560
Hope this helps
Five less than the product of eight and a number
Answers
Answer: 8n-5
Step-by-step explanation:
7+(10-4^2)÷4×1/2^3 need help
Answers
Answer:
6 13/16
Step-by-step explanation:
7+(10-4^2)÷4×1/2^3
PEMDAS says parentheses first
7+(10-16)÷4×1/2^3
7+(-6)÷4×1/2^3
Then exponents
7+(-6)÷4×1/8
Then multiply and divide from left to right
7+(-6)÷4×1/8
7+-3/2 *1/8
7 + -3/16
Add and subtract
6 13/16
if 36a=45/b, then ab=
Answers
Answer:
[tex]1.25[/tex]
Step-by-step explanation:
[tex]let \: a = x \: and \: b = y[/tex]
[tex]36x = \frac{45}{y} [/tex]
[tex]36xy = 45[/tex]
[tex]xy = \frac{45}{36} [/tex]
[tex]xy = 1.25[/tex]
[tex]therefore \: ab \: is \: 1.25[/tex]
A triangle and a horizontal line are shown. If the triangle is revolved about the horizontal line, what is the resulting object? a triangle next to a horizontal line solid cylinder hollow cylinder solid cone hollow cone with truncated top
Answers
Answer:
d. solid cone
Step-by-step explanation:
Solid revolution is the general method used for revolving a given figure about a reference plane to produce a required solid. This process involves the generation of a 3 dimensional shape from a 2 dimensional figure.
A triangle is a three sided figure which generates a solid or hollow cone when it revolves about a given line. If the given triangle is made to revolve about the line, the resulting object would be a solid cone.
Answer:
the answer would be a solid cone
Step-by-step explanation:
i took the test and got it right.
BRAINLIEST PLS PLS PLS PLS I RLY NEED IT
a family has five children. the probability of having a girl is 1/2. whats probability of having at leasr 4 girls g'
Answers
Answer:
Probability of having at least 4 Girls
= 0.6875
Step-by-step explanation:
Probability of having at least 4 Girls is 1-probability of having exactly 3 girls
Total number of children= 5 = N
Probability of having a girl p = 0.5
Probability of not having a girl q= 0.5
X= 3
Probability of at least 4 girls is given by
Probability= NCX(p)^x(q)^(N-x)
Probability = 5C3(0.5)^3(0.5)^(5-3)
Probability = 5C3(0.5)^3(0.5)^2
Probability= 5!/3!2!(0.5)^3(0.5)^2
Probability= 10(0.125)(0.25)
Probability= 0.3125
Probability of having at least 4 Girls
= 1- 0.3125
= 0.6875
Kip is going to meet his family.
The table shows the number of
kilometers he needs to travel until he
reaches them.
Hour
1
2
3
4
5
6
7
Kilometers
151
131
111
91
71
51
M
Answers
Answer:
From my knowledge I would say M= 31 km
Step-by-step explanation:
For each hour you subtract 20 kilometers.
Since the sixth hour was 51 kilometers,to find how many kilometers for the seventh hour we simply subtract 20 from 51.
51- 20 = 31
I really hope this helps:)
Find the slope of the line shown on the graph to the right.
Select the correct choice below and fill in any answer boxes within your choice.
#
A. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
B. The slope is undefined
Answers
Answer:
0 (zero)
Step-by-step explanation:
A horizontal line has zero slope.
Please help me this math is timed it's in Algebra. I'll double points. 1. (x^-2 y^3)^-1 2. (5x^3/y^2)^4 3. 36x^3y^-3/6x^5y^-6 Maybe more, but right now that's it.
Answers
Answer:
1. [tex]\frac{x^2}{y^3}[/tex]
2. [tex]\frac{625x^{12}}{y^8}[/tex]
3. [tex]\frac{6}{x^2y^9}[/tex]
Step-by-step explanation:
Remember, when you exponent an exponent, you multiply the powers.
When you multiply exponents, you add them.
When you divide exponents, you subtract them.
1.
Step 1: Multiply exponents
[tex]x^2y^{-3}[/tex]
Step 2: Move [tex]y^{-3}[/tex] to the denominator
[tex]\frac{x^2}{y^3}[/tex]
2.
Step 1: Multiply exponents
[tex]\frac{5^4(x^{3})^{4}}{(y^2)^4}[/tex]
Step 2: Power
[tex]\frac{625x^{12}}{y^8}[/tex]
3.
Step 1: Simplify
[tex]\frac{6x^3y^{-3}}{x^5y^6}[/tex]
Step 2: Remove terms
[tex]\frac{6y^{-3}}{x^2y^6}[/tex]
Step 3: Move [tex]y^{-3}[/tex] to the denominator
[tex]\frac{6}{x^2y^6y^3}[/tex]
Step 4: Combine like terms
[tex]\frac{6}{x^2y^9}[/tex]
Which shows the prime factorization of 80? Check all that apply. 2 × 4 × 10 2 × 2 × 2 × 2 × 5 24 × 5 2 × 5 × 8
Answers
Answer:
The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10
Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.
24 × 5=120, Therefore it's the only incorrect question.
The term 2 x 2 x 2 x 2 x 5 shows the prime factorization of 80.
What is the prime factorization?Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, it is known as the prime factorization of the number when prime numbers are multiplied to get the original number.
Given the number 80
factors of 80 are 2 x 2 x 2 x 2 x 5
and given factors,
2 x 4 x 10,
2 x 2 x 2 x 2 x 5,
2 x 5 x 8,
24 x 5
all are the factors of 80 except 24 x 5,
but the correct representation of the prime factorization of 80 is
2 x 2 x 2 x 2 x 5
Hence option B is correct.
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The value of 82 is between which two integers?
Answers
Hey there!
Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.
A. 36 and 49.
B. 49 and 64.
C. 64 and 81.
D. 81 and 100
As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.
Also, the square root of 82 is about 9.05, and this fits our answer.
Have a wonderful day!
The value of √82 is between 9 and 10 integers.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the value of √82 is between which two integers.
The value of √82 is 9.05
Square root of eighty two is nine point zero five
9.05 is in between 9 and 10
Nine point zero five is between nine and ten.
Hence, the value of √82 is between 9 and 10 integers.
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Find the position function of a particle moving along a coordinate line that satisfies the given conditions. 2sint-cost
Answers
Answer:
the position of a particle moving at a coordinate say(y) will satisfy the given conditions t=0 (say) if y=2sint-cost
Step-by-step explanation:
Clearly by the above we can see that if y=2sint-cost at t=0, then y=-1 because at t=0 sint vanishes and leaves us with only cost and at t=0 cos0=1