Are these lines Perpendicular,if they are can you explain?y=3x=-2
Answers
Given the lines y = 3 and x = -2
By drawing these lines, we can see if they perpendicular or parallel
See the following image:
As shown at the image, the lines are Perpendicular.
So, the answer of the question , (Are these lines Perpendicular ?) is yes
Related Questions
Kevin spent $250 at plaza extra. this was 16 dollars less than twice what he spent at cost-u-less. how much did he spend at Cost-u-less explain and show work
Answers
250 + 16 = 266
266 divided by 2 is 133
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answers
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
For the following exercises, consider the function f(x) = (1+x)^1/x. Round all answers to five decimal places. Evaluate f(-0.01).
Answers
The value of f(-0.01) is approximately 0.99005.
To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).
Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.
The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.
By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.
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All of these statements are true EXCEPT which one?
Х
Y
Answers
Answer:
The Answer is -The segmet can be named XY or YX
Step-by-step explanation:
Answer:
A) (3,3), B (12,6) ---> C (16,-6)
A) (-10,5), B ( 12,16)--> C(18,4)
A)(12,-14), B (-16,21)---> C( 6,52)
A) (30,20), B( -20,-15)--> C(-11,25)
-------------------------------
hope it helps...
have a great day!!
Let x be an integer. Prove: x^3 is even if and only if x is even
Let z be a real number. Prove: z is irrational if and only if - z is irrational.
Answers
Therefore, x³ must be even. Therefore, if -z is irrational, then z must also be irrational.
What is integer?In mathematics, an integer is a whole number that can be either positive, negative, or zero. It can be written without a fractional or decimal component. Some examples of integers are -3, -2, -1, 0, 1, 2, 3. Integers are used in many different areas of mathematics, including number theory, algebra, and geometry. They are a fundamental concept in mathematics and have many important properties, such as the ability to add, subtract, and multiply them.
Here,
Proof of "x³ is even if and only if x is even":
First, assume that x is even. Then x can be written as x = 2k for some integer k. Substituting this into x³, we get:
x³ = (2k)³ = 8k³ = 2(4k³)
Since 4k³ is an integer, this shows that x³ is even.
Now, assume that x³ is even. This means that x³ is divisible by 2. We can write x³ as x³ = 2m for some integer m. Taking the cube root of both sides, we get:
x = (2m)*(1/3)
If x is an integer, then (2m)*(1/3) must also be an integer. However, the only way for the cube root of an even number to be an integer is if the original number is even. Therefore, x must be even.
Proof of "z is irrational if and only if -z is irrational":
First, assume that z is irrational. By definition, this means that z cannot be expressed as the ratio of two integers. Now suppose that -z is rational. This means that -z can be expressed as the ratio of two integers, say -z = p/q, where p and q are integers and q is not equal to 0. Multiplying both sides of the equation by -1, we get:
z = -p/q
This shows that z can be expressed as the ratio of two integers, which contradicts our assumption that z is irrational. Therefore, if z is irrational, then -z must also be irrational.
Now, assume that -z is irrational. By definition, this means that -z cannot be expressed as the ratio of two integers. We can rewrite this as z = (-1)(-z), which means that z is the product of -1 and a number that is not the ratio of two integers. Multiplying a number by -1 does not change its irrationality, so z must also be irrational. Therefore, if -z is irrational, then z must also be irrational.
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A rectangular garden has a walkway around it. The area of the garden is 4(4.5x+3.5). The combined area of the garden and the walkway is 5.5(8x+6). Find the area of the walkway around the garden as the sum of two terms.
Answers
We can express the area of the walkway around the garden as the sum of two terms as given - A[W] = 26x + 19.
What is a Rectangle?Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Given is a rectangular garden that has a walkway around it. The area of the garden is 4(4.5x + 3.5). The combined area of the garden and the walkway is 5.5(8x + 6).
The area of the walkway (A[W]) can be calculated by subtracting the area of garden (A[G]) from the combined area of the garden and the walkway (A[T]).
A[W] = A[T] - A[G]
A[W] = 5.5(8x + 6) - 4(4.5x + 3.5)
A[W] = 44x + 33 - 18x - 14
A[W] = 26x + 19
Therefore, we can express the area of the walkway around the garden as the sum of two terms as given - A[W] = 26x + 19.
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Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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Edna purchased a table for
$403.20. This amount already included the sales tax. If the price of the table before sales tax was $360.00, what percent was the sales tax?
Answers
Answer:
1.12
Step-by-step explanation:
I divided 403.20 and 360.00.
Hope this helps
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 420 calories, and had 113 calories of fat. What percent of the total calories in each brownie comes from fat?
Answers
The percent of the total calories in each brownie that comes from fat is 26.9%
What percent of the total calories in each brownie comes from fat?
We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:
420 cal = 100%
Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:
113 cal = X
We have the two relations:
113 cal = X
420 cal = 100%
If we take the quotient we get:
(113 cal/420 cal) = X/100%
Solving for X.
(113 cal/420 cal)*100% = X = 26.9%
So, the percent of the total calories in each brownie that comes from fat is 26.9%.
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What is the value of z in the equation 3 - 7 = 14? (2 points)
03
4
07
21
Answers
Answer:
07
Step-by-step explanation:
3z - 7 = 14
3•7=21
21 - 7 = 14
x^2−2(x+5)
x=10
thanks for helping
Answers
Step-by-step explanation:
If x=10
\(\tt{ x^2-2(x+5) }\) ⠀
\(\tt{ (10)^2-2×(10+5) }\) ⠀
\(\tt{100-2×15 }\) ⠀
\(\tt{ 100-30 }\) ⠀
\(\bold{ 70 }\) ⠀
Help help help help help help help help
Answers
Answer: 5) Needs more info 6) 4 hours 7) y<-6
Step-by-step explanation:
5) Needs more info, what was the initial question?
6) So the employee rate for washing cars turns out to be 4*5 = 20 hours to wash 20 vehicles
Therefore, 5 employees will wash 5 vehicles in 1 hour
5 employees will wash 20 vehicles in 1*4 = 4 hours
7) y+4<-2
= y+4-4<-2-4
= y<-6
To graph the inequality, just draw a horizontal line through (0,-6)
A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is true about y at this instant?
Answers
Answer:
\(y\) is decreasing by 10 units per second.
Step-by-step explanation:
Given information:
The particle moves on the hyperbola \(xy=15\)
Time \(t\geq 0\)
Now at a certain instant , \(x=3\) and \(\frac{dx}{dt} = 6\)
Now, Differentiating \(xy=15\) with respect to \(t\)
We get:
\(x.\frac{dy}{dt} +y.\frac{dx}{dt} =0\)
Now substitute the values in above equation:
\(3\frac{dy}{dt}+ 5 \times 6=0\)
\(3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10\)
The negative sign indicates that \(y\) is decreasing by 10 units per second.
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The particle follows hyperbolic path. The value of \(y\) is decreasing at the rate of \(10\) units per seconds.
Given: A particle moves on the hyperbola \(xy=15\) for time \(t\geq0\) seconds. At a certain instant, \(x=3\) and \(dx/dt=6\).
According to question,
hyperbola curve is \(xy=15\).
Differentiating the curve w.r.t \(t\) we get:
\(x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0\)
Now substituting the values are \(x=3\) and \(dx/dt=6\).
\(3\cdot \frac{dy}{dt}+5\times6=0\)
\(\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10\)
Therefore, \(y\) is decreasing \(10\) units per seconds.
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A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
Answers
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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f(x)=x^2. What is g(x)?
Answers
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
Which value makes the equation true?
--33 + 10 = 31
-7
41
3
-63
-123
Answers
(-3x+10)-10= 31-10
-3x= 21
Divide -3 on both sides
21/-3= -7
Thus, the first answer is the correct answer
Hope this helps!
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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½ z = 6
im giving 30 points so pls help !! also this is missing hw lol
Answers
Petra has a second larger box that is 6 inches by 8 inches by 4 inches. How many times larger is the volume of this second box? The surface area?
Answers
Answer:
volume is 8 times larger and surface area is about 2.7 times larger
Step-by-step explanation:
a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Answers
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
Please help!!!!!!!!!!!!
Answers
Answer:
use a calculator
Step-by-step explanation:
NO LINKS!!! URGENT HELP PLEASE!!
1. If P dollars is deposited in a savings account that pays interest at a rate of r% per year compounded continuously, find the balance after t years. Round your answer to the nearest cent
P = 120
r = 2 1/2
t = 8
2. An investment of P dollars increased to A dollars in t years. If the interest was compounded continuously, find the interest rate. Round your answer to the nearest whole number
A = 4055
P = 1000
t = 20
______%
Answers
Answer:
1: the balance after 8 years is approximately $151.78.
2: is approximately 7%.
Step-by-step explanation:
1: The balance after t years with continuous compounding can be calculated using the formula:
B = Pe^(rt)
Where:
P = 120 dollars (initial deposit)
r = 2.5% = 0.025 (interest rate in decimal form)
t = 8 years
Substituting these values into the formula, we get:
B = 120e^(0.025*8) ≈ 151.78
Therefore, the balance after 8 years is approximately $151.78.
2: The interest rate can be found using the formula:
A = Pe^(rt)
Taking the natural logarithm of both sides and solving for r, we get:
r = ln(A/P) / t
Where:
A = 4055 dollars (final amount)
P = 1000 dollars (initial investment)
t = 20 years
Substituting these values into the formula, we get:
r = ln(4055/1000) / 20 ≈ 0.0774
Converting to a percentage and rounding to the nearest whole number, we get:
r ≈ 7%
Therefore, the interest rate, if compounded continuously, is approximately 7%.
Answer:
1. $146.57
2. 7%.
Step-by-step explanation:
1.
The formula for continuous compounding is:
A = Pe^(rt)
Where:
A = the balance after t years
P = the principal amount
r = the annual interest rate (expressed as a decimal)
t = the time in years
To use this formula, we first need to convert the annual interest rate to a decimal:
r = 2 1/2 = 2.5%
r = 2.5/100 = 0.025
Now we can plug in the values:
A = 120e^(0.025*8)
A ≈ $146.57
Therefore, the balance after 8 years is approximately $146.57
2.
The formula for continuous compounding is: A = Pe^(rt)
Where:
A = the balance after t years
P = the principal amount
r = the annual interest rate (expressed as a decimal)
t = the time in years
We can rearrange this formula to solve for the interest rate:
r = ln(A/P)/t
Where ln represents the natural logarithm.
Now we can plug in the given values:
r = ln(4055/1000)/20
r ≈ 0.069or 7.1%
Therefore, the interest rate, rounded to the nearest whole number, is 7%.
Use spherical coordinates.
Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 16, above the xy-plane, and below the cone
z =sqrt(x^2+y^2)
Answers
The volume of the solid that lies within the sphere x² + y² + z² = 16 above the xy plane is (64√2π)/3 .
In the question ,
it is given that ,
the equation of the sphere is x² + y² + z² = 16 ;
and the equation of the cone is z = √(x² + y²) ;
In the spherical coordinate , the required solid ;
= {(ρ , φ , θ) ; 0 ≤ ρ ≤ 4 ; π/4 ≤ φ ≤ π/2 ; 0 ≤ θ ≤ 2π }
Volume of the sphere can be written by the interval :
Volume = \(\int\limits^{\pi/2 }_{\pi /4} \int\limits^{2\pi }_0 \int\limits^4_0 \(\rho\)^{2} sin\varphi .d\(\rho\).d\varphi .d\theta\)
Volume = \(\int\limits^{\pi/2 }_{\pi /4} \int\limits^{2\pi }_0 [\frac{p^{3} }{3}]^{4}_{0} .sin\varphi .d\(\rho\).d\varphi .d\theta\)
Simplifying further ,
we get ;
= (64/3)×(-0 + 1/√2)×(2π)
= (64√2π)/3
Therefore , the Volume of the Solid is (64√2π)/3 .
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A spherical balloon is deflated at a rate of 1231.5 cm^3/sec. At what rate is the radius ofthe balloon changing when the radius is 7 cm?
Answers
Answer:
The radius is changing at a rate of 2 cm/s
Explanation:
Here, we want to get the rate at which the radius of the balloon is changing
Mathematically, the formula for the volume of a sphere is:
\(\begin{gathered} V\text{ = }\frac{4}{3}\times\pi\times r^3^{}^{} \\ \\ \frac{dv}{dr}\text{ = 4}\times\pi\times r^2 \end{gathered}\)From the question:
\(\frac{dv}{dt}\text{ = 1231.5 }\)\(\frac{dr}{dt}\text{ = ?}\)\(\frac{dr}{dt}\text{ = }\frac{dv}{dt}\times\frac{dr}{dv}\)dr/dv is the reciprocal of dv/dr
Thus, we have it that:
\(\begin{gathered} \frac{dr}{dt}\text{ = 1231.5 }\times\frac{1}{4\times3.142\times7^2} \\ \\ \frac{dr}{dt}\text{ = 2 }\frac{cm}{s} \end{gathered}\)When two angles and an included side of one triangle are congruent to the corresponding pieces of another triangle?
Answers
If two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.
What is the meaning of congruent triangles?
If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.
congruent if they are copies of each other. We can prove that two triangles are congruent if they satisfy any one of the following criteria:-
SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.
SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.
ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.
AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.
RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.
Hence, when two angles and an included side of one triangle are equal to the corresponding pieces of another triangle then the two triangles are congruent.
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What the answer 2x - 2= -18
Answers
Answer:
Step-by-step explanation:
2x - 2 = -18
To cancel the -2, add 2 to both sides.
2x = -16
Divide both sides by two to isolate the x.
X = -8
Answer:
-8
Step-by-step explanation:
\(2x - 2 = -18\)
Add 2 to both sides
\(2x = -16\)
Divide!
\(x=-8\)
Help me will give Brainliest
Answers
Answer:
I have not figured it out yet
Write an equation of the line that passes through (6, 4) and is parallel to the line 3y-x=-12
Answers
Answer:
Step-by-step explanation:
(x,y) = (18, 2)
3y - x = (3 * 2 - 18) = 6 - 18 = -12
3y - x = -12
It's prettier to write x - 3y = 12
Someone please help me as soon as possible.
Answers
What is (3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)?
Answers
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.
(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
The next step is to combine like terms within each parentheses:
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
Finally, we can add the two expressions:
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
= 56x - 3x² - 8x + 2x³ + 3 + 7
= 56x - 3x² - 8x + 2x³ + 10
The final answer is 56x - 3x² - 8x + 2x³ + 10.