Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3? One-half One-fourth 3 DNE
Answers
The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Given the limit of a function expressed as:
[tex]\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}[/tex]
First, we need to substitute x = 3 into the function to have:
[tex]=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)[/tex]
Apply l'hospital rule on the function:
[tex]=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\[/tex]
Subtitute x = 3 into the result
[tex]=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}[/tex]
Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Learn more here: https://brainly.com/question/23935467
Answer:
1/2
Step-by-step explanation:
i am in your walls
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Please help I have tried so hard
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The rule is (x,y)➡️ (x,-y)
The other answers are above
Pictures attached-- 100 points!! Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.
Answers
Answer:
Part A:
Cost: 10+x
Customers: 16 - 2x
Part B:
-2x^2+-4x+160 ≥ 130.
Part C:
$12
Part D:
$12 because it is greater.
Step-by-step explanation:
To know how to solve you do this
Put each number from part c like 13 is 3 and change the x
for example
-2(x)^2-4(x)+160
to
-2(3)^2-4(3)+160
Is it greater than ≥ 130 or equal to?
What evera is greater to is the answer.
Mark me BRAINLIETS PLS!!!!!!!!!!
What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?
Pls help me ASAP, this is due today. I would really appreciate it.
Answers
Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.
Answers
Answer:
it's a right angled triangle
Kylie and her three friends equally divided the cost to rent a movie for $4 and order sandwiches for a total of $15. They also have a coupon for $3 off the sandwiches. Evaluate to find the cost each person will pay.
Also the first person to answer gets brainlest :)
Answers
Answer:
4
Step-by-step explanation:
4+15-3=16 (the total amount plus coupon)
16/4=4 (divided by 4 to find out how much each friend pays)
The number is prime The number is less than 19 The sum of the digits of the number is greater than 7 what's the number ?
Answers
Answer:
17
Step-by-step explanation:
I thinks 17 is less than 19 and it's a prime number and the sum of its digits is greater than 7 so the answer is 17
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
Answers
Answer:
We have the inequality:
-46 < -34
This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.
An example to see this is suppose that these numbers represent money.
Because the numbers are negative, then these represent money you owe.
-46 means that you owe $46
-34 means that you owe $34
Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.
Another example is if these numbers represent distance under the surface of the water.
-46 means that you are 46 ft under the surface of the water
-34 means that you are 34 ft under the surface of the water.
Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.
Justin Bieber is hiding from everyone in a tree. Somebody throws a rock at Justin trying to knock him out of the tree. An equation can be used to model the height of the rock after t seconds with an initial velocity of 12
ft/sec
H= -16^2+12t+ 5
In feet, how high can they throw the rock?(round to the nearest hundredth)
Answers
Answer:
is your teacher insane?
Simplify the expression: 6a + 9b - c - 9a +2b + 3c
Answers
Answer:
-3a + 11b + 2c
Step-by-step explanation:
PLEASE I NEED THE ANSWER QUICK
v + 25 < 5
v = ?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{v + 25 < 5}[/tex]
[tex]\large\textsf{SUBTRACT 25 to BOTH SIDES}[/tex]
[tex]\mathsf{v + 25 - 25 < 5 - 25}[/tex]
[tex]\large\textsf{CANCEL out: 25 - 25 because that gives 0}[/tex]
[tex]\large\textsf{KEEP: 5 - 25 because it gives us v or solve for it}[/tex]
[tex]\mathsf{v < 5 - 25}[/tex]
[tex]\mathsf{5 - 25 = -20}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf v < -20}}}\large\checkmark\\\boxed{\boxed{\mathsf{\bf It\ is\ an\ O P E N E D\ circle\ on\ -20\ shaded\ to\ the\ left}}}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?
Answers
Answer:
when X=1 y = -9/2
Step-by-step explanation:
[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]
If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690
Answers
C. p(11) = 626.
Step-by-step explanation:
Given : p(x) = 5(x²+1)+16.
To find : what is the value of p(11).
Solution : We have given p(x) = 5(x²+1)+16.
For x = 11.
p(11) = 5((11)²+1)+16.
p(11) = 5 ( 121 + 1 ) +16.
p(11) = 5 (122) + 16.
p(11) = 610 + 16.
p(11) = 626.
Therefore, p(11) = 626.
She has written 90 page essay so far she needs 150 pages. What percent of pages has she completed.
Answers
Answer:
75%
Step-by-step explanation:
i am not going to say it right but i think it is but my teacher have us doing this now
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Answer:
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Step-by-step explanation:
The practice of buying and selling goods and services over the Internet is
known as which of the following?
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B. Auctioning
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Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?
Answers
Answer:
answer is 156753.03
Step-by-step explanation:
What is the volume of the composite figure?
Answers
Answer:
It's 372 in³
Step-by-step explanation:
A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³
WILL VOTE BRAINLIEST, 50 POINTS
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Answer:
-1
Step-by-step explanation:
[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]
pls how do i solve htis question...... (x+1)^3
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Answer:
x^3+3x^2+3x+1
PLS ACTUALLY ASNWER
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Answer:
the first one, no
the second one, yes I think?(its def not no)
the third one, yes
Step-by-step explanation:
(x^10)^2/x4 simplify
Answers
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answers
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
Please help, i need it for a test, I'll give you brainliest :]
Answers
Answer:
Step-by-step explanation:
C
Which expression is equivalent to -6 - (-2)−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -6+2−6+2minus, 6, plus, 2 (Choice B) B 2+62+62, plus, 6 (Choice C) C -6+(-2)−6+(−2)minus, 6, plus, left parenthesis, minus, 2, right parenthesis (Choice D) D -2 + 6−2+6
Answers
Answer:
(Choice A) A -6+2; minus, 6, plus, 2
Step-by-step explanation:
Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:
(Choice A) A -6+2; minus, 6, plus, 2
(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis
(Choice D) D -2 + 6
Given expression:
-6 - (-2)
Note:
- * - = +
+ * + = +
- * + = -
+ * - = -
-6 - (-2)
= -6 + 2
= -4
The correct answer is (Choice A) A -6+2; minus, 6, plus, 2
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
hope this help have a great day!
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Answers
Answer:
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Step-by-step explanation:
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3.2 Simplify the following
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Answers
Answer:
[tex]-13[/tex]
Step-by-step explanation:
[tex]-2+3(1-4)-2[/tex]
Simplify:
[tex]-2+3(1-4)-2\\-13[/tex]
-13 is your final answer!
In the expression 2x + y - 4, the coefficient of y is...
Answers
Answer:
1
Step-by-step explanation:
If a term does not have a written coefficient, then the coefficient is one.
This is because 1(y) = y
Answer:
1
Step-by-step explanation:
there is an "understood" 1 as the coefficient of any blank variable
but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)
If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?
Answers
Answer:
20 gallons of gas
Step-by-step explanation:
Given that :
8 gallons of gas = 224 mile trip
Miles per gallon of Mrs. Allan's car :
Number of miles / gallons of gas
224 miles / 8 gallons
= 28 miles per gallon
Gallons of gas car will use for 560 miles
Number of miles / miles per gallon
560 miles / 28 miles per gallon
= 20 gallons of gas