The system of equations can be used to find the roots of the considered equation is y = 4+x^2 and y= x^3 + 2 + x
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
For the given case, we are given with the equation [tex]4+x^2 = x^3 + 2 + x[/tex]
We can take two equations as:
[tex]y = 4+x^2 \\y= x^3 + 2 + x[/tex]
And when we will try to solve this system of equation, we will end up substituting the value of y in terms of x, and therefore, ending up on the same equation [tex]4+x^2 = x^3 + 2 + x[/tex]
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Answer:
D
y=4x^2
y=x^3+2x
Step-by-step explanation:
im trying to pass just like yall, Good luck to all
Compare.
160 seconds
minutes 2 1/2
Answer:
160 is greater than 2 and a half minutes.
Step-by-step explanation:
PLEASE HELP ASAP! WILL GIVE BRAINLIEST! (Please complete both)
Answer:
A: 5 cm2
B: 9 3/8 cm2
Step-by-step explanation:
Question A:
4 x 1 1/4
4/1 x 5/4 = 20/4
20/4 = 5 cm2
Question B:
3 3/4 x 2 1/2
15/4 x 5/2 = 75/8
75/8 = 9 3/8 cm2
Suppose that you need to build as many chairs as possible. Each chair requires one seat, one back, and four legs. If you have 12 seats, 15 backs, and 44 legs, which of the chair components limits the number of chairs you can make?.
Answer:
legs limit the number of chairs that can be built
Step-by-step explanation:
The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.
seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible
backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible
legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible
The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.
HELP I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORECCTLY HELPP
liam earned $11.50 for each lawn mowed. he has a total of $81.77 after spending $10.23 on regular maintenance. write an equation to find how many lawns liam mowed
Answer:
11.50x - $10.23 = $81.77
Step-by-step explanation:
$11.50 is how much he made per hour and X is the number of lawns he mowed, but we don't know exactly how many.
$11.50x tells us how much money he made.
He spent some of that money, $10.23, on maintenance so
$11.50x - $10.23 he spent = $81.77 which is the amount of money they said he has left
What is the y-value of the solution to the system of equations? 3x 5y = 1 7x 4y = −13 −3 −1 2 5
The y-value of the solution to the system of equations is 2.
We have given a system of equation
3x + 5y = 1
7x + 4y = −13
What is the system of equation?A system of equations is a collection of two or more equations with the same set of unknowns.
First we have to find the value of x.
3x + 5y - 5y = 1 - 5y
divide both sides of the equation by 3
3x/3 = 1/3 - 5y/3
x = 1/3 - 5/3y
Now plug that into the other equation,
7(1/3 - 5/3y) + 4y = -13
7/3 - 35/3y + 4y = -13
7/3 - 7 2/3y - 7/3 = -13 - 7/3
- 7 2/3y (-3/23) = -15 1/3 (-3/23)
y = 2
The answer is 2.
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50 POINTS PLEASE HELP Layla has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Layla randomly removes a chew from the bag, records the result, and returns the chew to the bag. Layla performs the experiment 71 times. The results are shown below:
A orange chew was selected 11 times.
A lemon chew was selected 18 times.
A lime chew was selected 42 times.
If the experiment is repeated 100 more times, about how many times would you expect Layla to remove a lemon chew from the bag? Round your answer to the nearest whole number.
Answer:Orange 11/71 , lemon 18/71 , lime 42/71
2. Answer is 25
Step-by-step explanation: The answers above correlate with an independent situation where Leyland always replaced the fruits.
Orange :lemon;lime is 11:18:42
In 100 Selections, lemon will be 18/71×100/1 =25.35
Answer:
25
Step-by-step explanation:
Mrs. franklin has a rectangular piece of fabric with an area of 198 square inches it is 9 inches wide how long is the piece of fabric
Answer:
22 inches
Step-by-step explanation:
Area = length x width
198 / 9 = l
22 = l
What is 1.625 rounded to the nearest tenth.
Answer:
1.6
Step-by-step explanation
2 is les than 5 so you round down
Find the surface area of each solid.
Answer:
232 in^2
Step-by-step explanation:
80 + 80 + 20 + 20 + 16 + 16 = 232
Check previous answer for better explanation!
Which transformation "turns" a figure around a point?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
Rotation is where you rotate a figure about a point on a graph. Reflection would essentially mirror a figure across and axis, translation would move a figure, and dilation woukd change the size of the figure.
Amanda uses her Credit card to purchase $75 of materials Amanda pays her credit card off each month
The remaining balance that Amanda will pay when the credit card is used to pay $75 from the total amount is $125.
How to compute the amount?Your information is incomplete. Therefore, an overview will be given. Let's assume that the total purchase made by Amanda is $200.
In this case, she uses her credit card to make payment for $75. Therefore to know the remaining balance, you'll subtract $75 from the total purchase. This will be:
= $200 - $75
= $125
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Charlotte is running at a rate of 23 /h. What is Charlotte’s speed in /s?
Answer:
0.00638
Step-by-step explanation:
Use some dimensional analysis. There are 60 minutes in 1 hour, and 60 seconds in 1 minute:
[tex] \frac{23}{1} \frac{units}{hour} \times \frac{1}{60} \frac{hour}{minutes} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
The units of hour will cancel, minutes will cancel, leaving the units of seconds:
[tex] \frac{23}{60\times 60} \frac{units}{seconds} = 0.00638 \frac{units}{second} [/tex]
A city doubles its size every 24 years. If the population is currently 145,000, what will the population be in 48 years?
Answer:
145000x2
=answer
then
answer×2
= final answer
Answer:
580,000 people
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of years by how long it takes for the population to double.
48÷24=2
The population will double 2 times.
Now figure out what the population will be after it doubles 2 times. Multiply the population by 2 a total of 2 times.
145,00022=580,000
That calculation could also be written with exponents:
145,000 x 2^2=580,000
After 48 years, the population will be 580,000 people.
Math help!!!!!!!!!!!111
Answer:
it would be 3 8/10
Step-by-step explanation:
you have to find a common multiple and it would be 10 thin you add them up 7/10+1/10=8/10 plus you have to put the 3 with the 8/10
A newspaper printer can print 15,000 newspapers in 4 hours. At the same rate, how many newspapers can they print in 24 hours?
Answer: its gonna be 90k (90,000)
Step-by-step explanation: 4 hrs = 15k meaning if u add 4 + 4 its basically gonna be 15k + 15k. so in 24 hr its gonna be 90k because 4 + 4 + 4 +4 + 4 = 24 so if 4 is 15k then it would also be 15k + 15k + 15k +15k +15k and thats 90k.
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The distance from one corner of a standard piece of paper to the diagonally opposite corner is 13.9 inches. If a piece of paper is 11 inches long, how many inches wide is it?
The width of the piece of paper as described in the task content is; 8.5in.
How wide is the piece of paper?It follows from the task content that the diagonal of the rectangular piece of paper is 13.9in and the length of the piece of paper is; 11in long.
On this note, it follows from Pythagoras theorem that the width of the piece of paper is;
width = √(13.9² - 11²)Width = √72.21Width = 8.5in
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Use the Distributive Property to simplify the expression 3(3x−5)
3(3x−5)
(3 times 3x)(3 times -5)
9x-15
Since you don't know what x is, you can't simplify it any more than this.
Hey there!
Use the Distributive Property to simplify the expression 3(3x - 5) :
Answer :9x - 15 ✅
Explanations :- Distributive Property :
A(B - C) = AB - BC
- Given expression :
3(3x - 5)
A = 3B = 3xC = 5>> Distribute the 3 to the 3x and to the 5 :
3(3x - 5)
= 3*3x - 3*5
Therefore, your answer is 9x - 15 .
Have a good day ;)
Find the lateral area of the cone
Answer:
Lateral surface area of the cone is 1005 cm²Step-by-step explanation:
Given :-
Radius of cone = 16 cmHeight of cone = 12 cmTo Find :-
Lateral surface areaSolution :-
As we know that,
LSA of the cone = πrlFinding Slant height:
➝ L = √r² + h²
➝ L = √(16)² + (12)²
➝ L = √256 + 144
➝ L = √400
➝ L = 20 cm
Slant height of cone is 20cmNow,
LSA of the cone = πrlSubstituting the required values,
➝ LSA = 22/7 × 16 × 20
➝ LSA= 7040/7
➝ LSA ≈ 1005 cm²
Hence,
Lateral surface area the of cone is 1005 cm²Roger bought a hamburger and french fries for $4.84. He paid with a $10 bill. Abouthow much change should he have gotten back?
Answer:
Roger should get $5.16 back.
Step-by-step explanation:
Just do $10.00 - 4.84
Answer:
$ 5.16
Step-by-step explanation:
10.00 - 4.84 = 5.16
question #10. The question is in the picture. I'd like a bit of help, please. I will give 15 points to whoever can help out.
How do I solve problems like these
First of all we need to find the equations of the lines :
y( red ) = - x + 2
y(blue) = 2x - 1
Then we must to put the equations equal to each other and going to to find the value of x :
[tex]- x + 2 = 2x - 1[/tex]
Add both sides x
[tex] - x + x + 2 = 2x + x - 1[/tex]
[tex]2 = 3x - 1[/tex]
Add both sides 1
[tex]2 + 1 = 3x - 1 + 1[/tex]
[tex] 3 = 3x[/tex]
Switch sides
[tex]3x = 3[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{3}{3} \\ [/tex]
[tex]x = 1[/tex]
After u the value of x , put it in one the equations to find the value of y :
[tex]y = - x + 2[/tex]
[tex]y = - (1) + 2[/tex]
[tex]y = - 1 + 2[/tex]
[tex]y = 1[/tex]
Thus the solution is ( 1 , 1 ) .
2. Which theorem can you use to conclude that AABC ~ ADEF?
A. the pythagorean theorem
B. triangle sum theorem
C. angle-angle similarity theorem
D. interior angle theorem
Answer:
A
Step-by-step explanation:
i had the same question when i had honors trust me :> you gut this
6,500 dollars is placed in a savings account with an annual interest rate of 4%. If no money is added or removed from the account, which equation represents how much will be in the account after 2 years?
The equation represents how much will be in the account after 2 years will be A = $6,500 + ($6,500 x 4 x 2)/100.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
I = (PRT)/100
6,500 dollars is placed in a savings account with an annual interest rate of 4%.
Then the amount after 2 years is calculated as,
A = P + I
A = P + PRT / 100
A = $6,500 + ($6,500 x 4 x 2)/100
Thus, the equation will be A = $6,500 + ($6,500 x 4 x 2)/100.
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shawnye drinks 1/2 of 6-ounces glass of water in 2/3 hours how much water dose she drink in 1 hour.
Answer:
She drinks 4.5 oz in 1 hour.
Step-by-step explanation:
First,
1/2 of 6 would be 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2 / 3 hr
Multiply both sides by 3 to get 2 alone.
3*(3 oz) = 3*(2/3 hr)
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hours.
9 / 2 oz = 2 / 2 hrs
Divide both sides by 2 so you can get how much she drinks in one hours
4.5 oz = 1 hr
An easier way of doing this is dividing both sides by (2/3)3 oz = 2/3 hrsDivide both sides by 2/34.5 oz = 1 hrsAnd boomThe distribution of z-scores is always Group of answer choices the same shape as the distribution of raw scores. positively skewed. negatively skewed. more spread out than the distribution of raw scores.
The true statement about the distribution of the z score is that they have (a) same shape as the distribution of raw scores.
How to determine the true statement?The z score of a dataset is calculated using:
z = (x - μ)/σ
Where
x represents the raw scoreμ represents the meanσ represents the standard deviationThe above formula implies that the z-scores are derived from the raw scores, and so they would have the same shape as the raw score
Hence, the true statement is (a) same shape as the distribution of raw scores.
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y−3x=15
__________________________________________________________
Hello! In this question, we will be changing our given equation to turn it into slope-intercept form.
__________________________________________________________
Explanation:
We are given the following equation:
3y − 3x = 15
Our goal is to turn the equation into slope-intercept form, which is:
y = mx + b
Let us rearrange the equation and simplify it:
3y − 3x = 15
Add 3x to both sides, which would cancel the 3x on the left.
3y = 3x + 15
Now, divide everything by 3 to get the "y" variable by itself.
y = x + 5
Therefore, your simplified equation in slope-intercept form would be:
y = x + 5
__________________________________________________________
Answer:
y = x + 5
__________________________________________________________
Part I: Reviewing the slope intercept form equation
Given equation:
3y - 3x = 15Slope intercept form: y = mx + b
[Where "m" is the slope and "b" is the y-intercept]
Part II: Isolating "y" and it's cooeficient on one side of the equation
In the slope intercept form equation, we can see that the "y" variable is completely isolated on one side of the equation. Therefore,
⇒ 3y - 3x = 15⇒ 3y - 3x + 3x = 15 + 3x⇒ 3y = 3x + 15Part III: Isolating "y" from it's cooeficient
The "y" variable in the slope intercept form has no cooeficient. Therefore, we need to isolate the cooeficient of "y" in our equation ( 3y = 3x + 15 ). This can be done by dividing 3 both sides or multiplying 1/3 both sides.
⇒ 3y/3 = (3x + 15)/3⇒ y = (3x + 15)/3Part IV: Simplify the other side of the equation
Finally, simplify the other side to obtain our equation in slope intercept form.
⇒ y = 3x/3 + 15/3⇒ y = x + 5Therefore, the equation in slope intercept form is y = x + 5.
Bryce left a 20% tip on a $45 dinner bill. How much was the tip?
Answer:
$9
Step-by-step explanation:
divide the value by thr total value then multiply by 100. formula=(value/total value)x100
camden is on a charter bus that has traveled 111 miles in 2 1/2 hours at this rate how many miles will the bus travel in the next 1/2 hour
Use a calculator to solve each problem. Round your answers to the nearest hundredth.
What is the absolute magnitude of a star that has a period of 62 days?
Answer:-6.33
Step-by-step explanation:
its correct, i did it on a test
Please help, asap, 50 points!
Answer:
k = 30/1
The constant of proportionality is 30:1. If we divided the number of area to be covered and the number of scoops, we will always get 30. 60/2 is 30, 120/4 is 30. 180/6 and 240/8 all equal 30.
Step-by-step explanation: