Using the parameters associated with the parabola and the formula for the equation using the focus and the focal diameter, The required equation is
\(x = \frac{-1}{62} (y+5)^{2}+ \frac{9}{2}\) .
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
What is focus and directrix of parabola?All points in a plane that are equally spaced out from a given point and a given line make up a parabola. The line is known as the directrix, and the point is known as the parabola's focus. The parabola's axis of symmetry is the subject of attention.
focus = (-11,5)
focal diameter =20
Required equation of parabola,
\(x = \frac{-1}{62} (y+5)^{2}+ \frac{9}{2}\)
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-4 divided by 8/7
answer fast.step by step explanation
Answer:
-7/2
Step-by-step explanation:
Answer:
-4/1 ÷ 8/7-4/1 × 7/8= -28/8= -7/2If F(x) = 9x, which of the following is the inverse of F(x)?
O A. F'(x) = x-9
OB. F'(x) =
C. F'(x) = x + 9
D. F1(x) = 9
Answer:
Should be x/9
Step-by-step explanation:
The inverse of the function is F' ( x ) = x/9
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as F ( x )
Now , the value of F ( x ) is
F ( x ) = 9x be equation (1)
Now , let the inverse of the function be represented as F' ( x )
where , the values of y are interchanged with x
So , the equation is
y = 9x
when x in interchanged ,
x = 9y
On solving for y , we get
Divide by 9 on both sides , we get
y = x / 9
So , the inverse of the function is F' ( x ) = x/9
Hence , the inverse of the function is F' ( x ) = x/9
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What’s the answer yall
Answer:
m<Y can be determined
Step-by-step explanation:
If you look at the orders of each quadrilateral, m<D matches with m<Y. Specifically JDMC and PYGN. Because of this, we can infer that m<Y can be determined, and if you're looking for a certain amount, it would be 156 degrees.
Every day, Kathleen‘s burritos stand uses 3/8 of a bag of tortillas. For how many days will 1 1/8 bag of tortillas last.
Answer:
3 days
Step-by-step explanation:
x is the number of days Kathleen's burritos stand use
3/8x = 1 1/8
x = (1 1/8)/(3/8) = (9/8)/(3/8) = (9/8)x(8/3) = 9/3 = 3
Answer:
3 days.
Step-by-step explanation:
1 1/8 / 3/8
= 9/8 / 3/8
= 9/8* 8/3
= 9/3
= 3.
shooting free throws. in college basketball games, a player may be afforded the opportunity to shoot two consecutive foul shots (free throws). a. suppose a player who makes (i.e., scores on) 80% of his foul shots has been awarded two free throws. if the two throws are considered independent, what is the probability that the player makes both shots? exactly one? neither shot? b. suppose a player who makes 80% of his first attempted foul shots has been awarded two free throws and the outcome on the second shot is dependent on the outcome of the first shot. in fact, if this player makes the first shot, he makes 90% of the second shots; and if he misses the first shot, he makes 70% of the second shots. in this case, what is the probability that the player makes both shots? exactly one? neither shot?
For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72
a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.
Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.
To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.
Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.
Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.
b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.
Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.
If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.
Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.
Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.
Therefore, for the given scenario:
a) Probability of making both shots: 0.64
Probability of making exactly one shot: 0.32
Probability of missing both shots: 0.04
b) Probability of making both shots: 0.72
Probability of making exactly one shot: 0.14
Probability of missing both shots: 0.14
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What is 2 rounded to the nearest whole number?
Answer:
2
Step-by-step explanation:
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 5 ft. The base of the incline plane is 15 ft from the shelving unit. What is the length of the incline plane?
Answer:
15.8 ft
Step-by-step explanation:
The inclined plane, the base of and the shelving unit form the shape of a right angled triangle.
The hypotenuse is the length of the inclined plane, h.
The base of the triangle is 15 ft.
The height of the triangle is 5 ft.
To find the hypotenuse, h, we have to use Pythagoras rule:
\(h^2 = a^2 + b^2\)
where a = height of the triangle
b = base of the triangle
Therefore:
\(h^2 = 5^2 + 15^2\\\\h^2 = 25 + 225 = 250\\\\h = \sqrt{250}\\ \\h = 15.8 ft\)
The inclined plane is 15.8 ft long.
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the interest rate?
Answer:
April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is given the principal and the time and the interest rate is . For this problem we have to find the interest rate given . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,
The interest rate is or 0.02 as a decimal. The interest rate is 2% as a percentage.
Step-by-step explanation:
Answer:
2%
Step-by-step explanation:
What is the distance in units from (2, -12) to (-11, -12)
20 POINTSSS
HURRY PLEASEEEE
Answer:
d= (-11-2)^2 + (-12--12)^2
d= (-13)^2 + (0)^2
d=169
square root the 169
answer is 13
that's the distance from (2, -12) (-11, -12)
hope that helps
Step-by-step explanation:
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
What is the distance of a line between 2 points?
The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
\(Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\)
Given data ,
Let the distance between the two points be = D
Let the first point be represented as = A
The value of A = A ( 2 , -12 )
The second point be represented as = B
The value of B = B ( -11 , -12 )
Now , the distance between the points A and B is given by the equation of distance formula
\(Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\)
Substituting the values in the equation , we get
\(Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }\)
On simplifying the equation , we get
\(Distance D = \sqrt{(0 + (2+11))^{2} }\)
\(Distance D = \sqrt{(13)^{2} }\)
\(Distance D = 13\)
Therefore , the value of D is 13
Hence ,
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
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asap please help Will give BRAINLIEST
Answer:
12 my g
Step-by-step explanation:
what is 80% of 25 help me
A plane travels at a speed of 160 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 550 miles. Flying against a headwind, it takes 2 hourslonger to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)AnswerKeypad
ANSWER
The wind velocity is 43.2 miles
EXPLANATION
Given information
The total distance covered by the plane when flying with a tailwind is 550 miles
The total time = 2 hours
Let w represents the velocity of the wind
The speed with the wind = (160 + w)
The speed against the wind = (160 - w)
To find the wind velocity, follow the steps below
Step 1: Write the formula for writing distance
\(\text{ Speed = }\frac{distance\text{ }}{time}\)Step 2: Find the time for the plane to travel with the wind
\(\begin{gathered} \text{ speed = }\frac{\text{ distance}}{time} \\ cross\text{ multiply} \\ distance\text{ = speed }\times\text{ time} \\ time\text{ = }\frac{distance}{speed} \\ time\text{ = }\frac{550}{(160\text{ + w\rparen}} \\ Hence,\text{ the time required for the plane to travel with wind is }\frac{550}{(160+\text{ w\rparen}} \end{gathered}\)Step 3: Find the time for the plane to travel against the wind
\(\begin{gathered} \text{ speed = }\frac{distance}{time} \\ cross\text{ multiply} \\ distance\text{ = speed }\times time \\ time\text{ = }\frac{distance\text{ }}{speed} \\ time\text{ = }\frac{550}{(160-\text{ w\rparen}} \end{gathered}\)Recall, that the total time is time against - time with
\(Time\text{ = Time against - time with}\)Step 4:Substiute the value got in steps 2 and 3 into the formula in step 4
\(2\text{ = }\frac{550}{(160\text{ - w\rparen}}\text{ - }\frac{550}{(160+\text{ w\rparen}}\)Step 5: Simplify the above expression
\(\begin{gathered} The\text{ common denominator = \lparen160 - w\rparen \lparen160 + w\rparen} \\ 2\text{ = }\frac{(160\text{ + w \rparen}\times550\text{ - \lparen160 - w\rparen}\times550}{(160-\text{ w\rparen\lparen160 + w\rparen}} \\ open\text{ the parentheses} \\ 2\text{ = }\frac{88000\text{ + 550w - 88000+ 550w}}{25600\text{ + 160w - 160w - w}^2} \\ collect\text{ the like terms} \\ 2\text{ = }\frac{88000\text{ - 88000 + 550w - 150 w}}{25600\text{ - w}^2} \\ 2=\text{ }\frac{1100w}{25600\text{ - w}^2} \\ cross\text{ multiply} \\ 1100w\text{ = 2\lparen25600 - w}^2) \\ 1100w\text{= 51200 - 2w}^2 \\ 1100w\text{ - 51200 + 2w}^2 \\ 2w^2\text{ +1100w -51200} \\ \end{gathered}\)Step 6: Simplify the quadratic function using the general formula
\(\begin{gathered} 2w^2\text{ - 51200 +1100w} \\ \text{ Using, }\frac{-b\pm\sqrt{b^2\text{ - 4ac}}}{2a} \\ a\text{ = 2, b = 1100 c = -51200} \\ w\text{ = }\frac{-(1100)\pm\text{ }\sqrt{(1100^2\text{ - 4\lparen2 }\times\text{ -51200\rparen}}}{2\times2} \\ w\text{ = }\frac{-1100\pm\sqrt{1210000\text{ + 409600}}}{4} \\ w\text{ = }\frac{-1100\pm\sqrt{1619600}}{4} \\ w\text{ = }\frac{-1100\pm1272.635}{4} \\ \text{w = }\frac{-1100\text{ + 1272.635}}{4} \\ w\text{ = }\frac{172.635}{4} \\ w\text{ = 43.2 mile} \end{gathered}\)Hence, the wind velocity is 43.2 miles
pwese help ill give brainlyest
Answer:
y=(14-8x) divided by 2
Step-by-step explanation:
minus 8x from both side you get
2y=14-8x
then you divide by 2
y=(14-8x) divided by 2
thats the furthest it can be simplified
Answer: x= 1/4 y = + 7/4
Step-by-step explanation:
Step 1: Add -2y to both sides.
8x + 2y + - 2y = 14 + −2y
8x = −2y + 14
Step 2: Divide both sides by 8.
8x /8 = -2y + 14/8
x= 1/4 y = + 7/4
5
A theater has 3,150 seats. All of the seats are arranged in 42 equal rows. How many
seats are in each row? Show your work.
Im on the 5th grade and I’m too lazy to do this plus I always do my homework on sundays so please solve this for me
Answer:
75
Step-by-step explanation:
3,150 divided by 42 equals 75
The marginal cost of producing the xth box of DVDs is 15+ and the fixed cost is $100,000. Find the cost function C(x). 50,000 C(x) = I
The revenue function is: R(x) = 750,000x + $5,000,000
To find the cost function C(x), we need to integrate the marginal cost of producing the xth box of DVDs.
∫(15+ dx) = 15x + C
We know that the fixed cost is $100,000, so when x = 0, the total cost is $100,000.
15(0) + C = $100,000
C = $100,000
Therefore, the cost function C(x) is:
C(x) = 15x + $100,000
To find the revenue function, we use the formula:
Revenue = Price x Quantity
Since the problem doesn't give us the price, we'll use the variable P for price.
We know that the revenue when x boxes of DVDs are produced is 50,000 times the cost C(x):
Revenue = 50,000C(x)
Substituting the cost function we just found, we get:
Revenue = 50,000(15x + $100,000)
Simplifying:
Revenue = 750,000x + $5,000,000
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Imagine that you are a teacher grading your students’ assignments. The following questions were turned in with incorrect answers. Trace through the process of solving them to discover where your students made a mistake in their order of operations. Which step of PEMDAS did they do out of order? Explain.
(6-2)^2+12-3^2
The correct answer is 19
student answer 97
The student did the subtraction step of PEMDAS out of order.
What is PEMDAS?PEMDAS is a rule regarding precedence of operations, given as follows, from highest to lowest precedence.
Parenthesis.Exponents.Multiplication/Division.Addition/Subtraction.In this problem, the expression is:
(6 - 2)² + 12 - 3².
The student reached an answer of 97 as follows:
(6 - 2)² + 9² = 4² + 9² = 16 + 81 = 97.
The student did the subtraction first, hence the student did the subtraction step of PEMDAS out of order.
The correct solution is:
(6 - 2)² + 12 - 3² -> Solve the Parenthesis.
4² + 12 - 3² -> Solve the Exponents.
16 + 12 - 9 -> Solve the Addition and Subtraction.
19.
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Consider the random walk with drift model
xt = δ + xt-1 + wt for t = 1,2,3,… with x0 = 0 and wt is white noise with mean zero and variance σw2.
a. Show the model can be written as xt = δt + ∑1twk (Hint: Use induction.)
v. Find the mean function and autocovariance function of xt.
c. Determine if xt is stationary.
a. To show that the model can be written as xt = δt + ∑1twk, we can use induction.
For t = 1:
x1 = δ + x0 + w1
= δ + 0 + w1
= δ + w1
So the base case holds.
Assume that the model holds for t = k, i.e., xk = δk + ∑1k wk.
For t = k+1:
xk+1 = δ + xk + wk+1
= δ + (δk + ∑1k wk) + wk+1
= δk+1 + ∑1k+1 wk
Therefore, by induction, the model can be written as xt = δt + ∑1twk.
v. To find the mean function of xt, we can take the expected value of both sides of the model equation:
E[xt] = E[δt + ∑1twk]
= E[δt] + E[∑1twk]
= δt + ∑1tE[wk]
= δt
So, the mean function of xt is given by μt = δt.
To find the autocovariance function of xt, we need to calculate Cov(xt, xs) for s ≠ t.
For s < t:
Cov(xt, xs) = Cov(δt + ∑1twk, δs + ∑1swk)
= Cov(δt, δs) + Cov(δt, ∑1swk) + Cov(∑1twk, δs) + Cov(∑1twk, ∑1swk)
= 0 + 0 + 0 + Cov(∑1twk, ∑1swk)
= Cov(∑1twk, ∑1swk)
= Cov(wt + ∑1t-1wk, ws + ∑1s-1wk)
= Cov(wt, ws) + Cov(wt, ∑1s-1wk) + Cov(∑1t-1wk, ws) + Cov(∑1t-1wk, ∑1s-1wk)
= 0 + 0 + 0 + Cov(∑1t-1wk, ∑1s-1wk)
Since wt and wk are white noise with mean zero and variance σw^2, their covariance is zero unless t = s. Therefore, we have:
Cov(xt, xs) = 0 for s < t
For s > t, the covariance remains zero as well, since we can use the same logic as above.
For s = t, we have:
Cov(xt, xs) = Cov(δt + ∑1twk, δt + ∑1twk)
= Cov(δt, δt) + Cov(δt, ∑1twk) + Cov(∑1twk, δt) + Cov(∑1twk, ∑1twk)
= Var(δt) + Cov(∑1twk, ∑1twk)
= Var(δt) + Var(∑1twk) + 2Cov(∑1twk, ∑1twk)
= Var(δt) + Var(∑1twk) + 2∑1t-1Cov(wk, wk)
= Var(δt) + Var(∑1twk) + 2∑1t-1σw^2
Since δ is a constant and wk is a white noise process, Var(∑1twk) = ∑1tVar(wk) = tσw^2.
Therefore, we have:
Cov(xt, xs) = Var(δt) + tσw^2 + 2∑1t-1σw^2
= Var(δt) + tσw^2 + 2σw^2(t-1)
= Var(δt) + 3tσw^2 - 2σw^2
Finally, we can conclude that the mean function of xt is μt = δt, and the autocovariance function of xt is Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2.
c. To determine if xt is stationary, we need to check if the mean function and autocovariance function are independent of time (t).
In this case, the mean function is μt = δt, which is dependent on time. Therefore, xt is not stationary.
Similarly, the autocovariance function Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2 depends on both t and s, so xt is not stationary.
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A jar contains 44 quarters and pennies. The total value of the coins is $4.28.
Which system of equations can be used to find p, the number of pennies, and
q, the number of quarters?
O A.
0.25p+0.01q = 44
p+q = 4.28
( в.
0.25p+0.01q = 4.28
p+q=44
OC. 0.01p+0.25q=44
p+q = 4.28
0.01p+0.25q= 4.28
O D.
p+q=44
An equation is formed when two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of quarters be represented by q, and the number of pennies is represented by p. Therefore, the total number of pennies can be written as,
p + q = 44
The value of the pennies and quarters can be written as,
0.25q + 0.01p = 4.28
Hence, the correct option is B.
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40 POINTS ASAP
A
B
C
D
Answer:
A: Ms. Monti bought 4 adult tickets and 3 children tickets.
Reasoning:
In the word problem, it doesn't say anything about spending x or y amount of dollars, instead, it said she bought x and y amount of tickets. Therefore the answer will be A.
Answer:
A
Step-by-step explanation:
4 adult tickets, 3 child tickets. Check by plugging x=4 and y=3 into the equation:
Adult tickets are $25 each , children's tickets are $15 each
25(4) + 15(3) = 145
100 + 45 = 145
Answer checks out as correct
SOMEONE PLEASE HELP!! EXPLANAITION = BRAINLIEST + FIVE STARS!! THANK YOU SO MUCH
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
Find the nth term of the sequence 7,1,-5,-11
Answer:
an = 7 - 6(n-1)
Step-by-step explanation:
Each term is 6 less than the previous
an = 7 - 6(n-1)
answer:
6
step-by-step explanation:
hopefully i am reading this question right but the differance is -6 and it is arithmetic
hopes this helps! :)
Two friends, Gianna and Samuel, took summer jobs. Samuel earned $634. 40 in 26 hours. Gianna makes $256 in 10 hours, and $512 in 20. What is the difference in pay between the two?
The difference in pay between Gianna and Samuel is $377.40. Samuel earned more than Gianna during their summer jobs.
During their summer jobs, Samuel earned a total of $634.40 in 26 hours of work. To find Samuel's hourly rate, we divide his total earnings by the number of hours worked: $634.40 / 26 hours = $24.40 per hour.
On the other hand, Gianna earned $256 in 10 hours, which means her hourly rate is $256 / 10 hours = $25.60 per hour. Similarly, Gianna earned $512 in 20 hours, resulting in an hourly rate of $512 / 20 hours = $25.60 per hour as well.
To calculate the difference in pay between the two friends, we subtract Samuel's total earnings from Gianna's total earnings: ($25.60 per hour x 10 hours) + ($25.60 per hour x 20 hours) - ($24.40 per hour x 26 hours) = $256 + $512 - $634.40 = $377.40. Therefore, the difference in pay between Gianna and Samuel is $377.40.
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which statement is always true about a parallelogram?
Answer:
Option C will be your answer
Step-by-step explanation:
have a nice day and good luck!! :)
Identify the value of y.
(5y-6) = (2y×9)-32
I need help
Answer:
y=2
Step-by-step explanation:
5y-6=(2y*9)-32
5y-6=18y-32
32-6=18y-5y
26=13y
26/13=13y/13
2=y
y=2 [Answer]
Please rate and mark me the brainiest!!
Hey there!
Let's solve your equation step-by-step.
\(\fbox{5y−6=2y(9)−32}\)
Step 1: Simplify both sides of the equation.
\(\fbox{5y−6=2y(9)−32}\)
\(\fbox{5y+−6=18y+−32}\)
\(\fbox{5y−6=18y−32}\)
Step 2: Subtract 18y from both sides.
\(\fbox{5y−6−18y=18y−32−18y}\)
\(\fbox{−13y−6=−32}\)
Step 3: Add 6 to both sides.
\(\fbox{−13y−6+6=−32+6}\)
\(\fbox{−13y=−26}\)
Step 4: Divide both sides by -13.
\(\fbox{−13y/−13 = −26/−13}\)
\(\fbox{y=2}\)
Answer:
\(\fbox{y=\fbox{2}}\)
Find the area of the circle r=14 using 3.14 and round the answer t on the nearest hundredth
determine whether the following series converges or diverges. if the series converges, compute its sum. clearly justify your answer: x1 n=1 3n 141 3n22n
To evaluate the series Σ(3^n/(141·3²ⁿ) from n=1 to infinity converges or diverges, we can use the ratio test.
The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely;
if the limit is greater than 1, then the series diverges; and if the limit is exactly 1, then the test is inconclusive.
Let's first apply the ratio test to this series:
| (3ⁿ+¹/(141·3²ⁿ+¹) * (141·3²ⁿ))/(3ⁿ |
= | 3/141 |
= 1/47
Since the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges absolutely.
To compute the sum of the series, we can use the formula for the sum of a geometric series:
Σ(3ⁿ/(141·3²ⁿ) = 3/141 Σ(1/9)ⁿ from n=1 to infinity
= (3/141) · (1/(1-(1/9)))
= 27/470
Therefore, the series converges absolutely and its sum is 27/470.
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4. An acre is 43,560 square feet. How much would it cost to fence in a 4 acre rectangle of land at
$0.55 cents per foot?
Answer:
174,242.2
hope tis help
Step-by-step explanation:
2x - 12 = 2(x-10)-87
The equation 2x - 12 = 2(x-10)-87 has no solutions.
Given: To find the value of x: 2x - 12 = 2(x - 10) - 87
What are algebraic expressions?
Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.
What is an algebraic equation?
When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.
Let's solve the question.
2x - 12 = 2(x - 10) - 87
Adding 12 on both sides:
2x - 12 + 12 = 2(x-10) - 87 + 12
=> 2x = 2(x -10) - 75
=> 2x = 2x - 20 - 75
=> 2x = 2x - 95
Adding -2x on both sides:
2x - 2x = 2x - 95 - 2x
0 = -95
This is contradictory.
The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.
Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.
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F=9/5C + 32 solve for C
To solve for C let us do these steps
1. Put the term of C on one side and the other terms on the other side
Subtract 32 from both sides to move the term 32 to the other side
\(\begin{gathered} F-32=\frac{9}{5}C+32-32 \\ F-32=\frac{9}{5}C \end{gathered}\)2. Make the coefficient of C = 1
Divide both sides by 9/5
\(\begin{gathered} \frac{F-32}{\frac{9}{5}}=\frac{\frac{9}{5}C}{\frac{9}{5}} \\ \frac{5}{9}(F-32)=C \\ C=\frac{5}{9}(F-32) \end{gathered}\)You can Multiply the bracket (F- 32) by 5/9
\(C=\frac{5}{9}F-\frac{160}{9}\)A student was asked to simplify the expression 2(x+3)+(4x−8)−7x .
Answer:
-x -2
Step-by-step explanation:
1- Apply the Distributive Property
2- Calculate the product or quotient
3- Determine the sign
4- Reorder and gather like terms
Collect coefficients of like terms
Calculate the sum or difference