Answers
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
Related Questions
1. x²+2xy+y²
2. x²-8x+16
3. 16a⁴_24a²b²+9b
Answers
Answer:
1.(x+y)²
2. (x-4)²
3. (4a²-3b²)²
If you don’t know I don’t answer (NO LINKS )
Answers
Uhh I might just answer this so the guy who did so much can get brainliest
In which quadrant would point (-4.5, -4.5) be located
Answers
Lines AC and BD intersect at O as shown.
What is the measure of
Answers
Answer:
X=4
Step-by-step explanation:
25x + 25x = 50
20 + 20 = 40
50 + 40 = 90
90x = 360
X = 4
The table shows the width and length of different pictures that Nethan has enlarged for the school yearbook:
WILL GIVE BRAINLIEST
Enlarged Pictures
Width (inch) Length (inch)
4 5
8 10
12 15
Based on the table, what is the length of a picture that has a width of 20 inches?
Answers
Answer:
from 2nd and 3rd figures
width of 2nd figure + width of 3rd figure
8 + 12 = 20inch
so, length of a picture that has a width of 20 inches will be , length of 2nd figure + length of 3rd figure
=10 + 15
=25 inch
Step-by-step explanation:
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Answers
Answer:
A)15Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:parimeter of a square:4a
according to the question
[tex] \sf 4(8x + 2) = 488[/tex]
divide both sides by 4:
[tex] \sf \frac{4(8x + 2) }{2}= \frac{488}{2} \\ \sf \frac{ \cancel4 ^{} (8x + 2)}{ \cancel{4}} = \frac{ \cancel{488} \: ^{122} }{ \cancel{ \: 2}} \\ 8x + 2 = 122[/tex]
cancel 2 from both sides:
[tex] \sf 8x + 2 - 2 = 122 - 2 \\ \sf 8x = 120[/tex]
divide both sides by 8
[tex] \sf\frac{8x}{8} = \frac{120}{8} \\ \sf \therefore \: x = 15[/tex]
12+x=46
what is the answer to x?
Answers
Answer:
x=34
Step-by-step explanation:
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.
Answers
Answer:
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Step-by-step explanation:
We have probability of having damaged apple = 13%
= 13/100
= 0.13
Sample size n = 10
Using the binomial distribution
P(X=x) = nCx * P^x(1-P)^n-x
Probability sample will have at least one damaged apple
= P(X>=1) = 1-p(x<1)
= 1 - P(X=0)
= 1-(10C0 *P⁰(1-0.13)¹⁰
= 1 - 1(1-0.13)¹⁰
= 1 - 0.87¹⁰
= 1 - 0.2484
= 0.7516
The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]
Answers
9514 1404 393
Answer:
maximum: 15∛5 ≈ 25.6496392002minimum: 0Step-by-step explanation:
The minimum will be found at the ends of the interval, where f(t) = 0.
The maximum is found in the middle of the interval, where f'(t) = 0.
[tex]f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)[/tex]
This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...
f(5) = (∛5)(20-5) = 15∛5
The absolute maximum on the interval is 15∛5 at t=5.
Combine the like terms to create an equivalent expression,
Зу +6 – у
HELPPPPPP NOWWWW
100 points
Answers
Answer: 2y+6
Step-by-step explanation:
Answer:
x and y
Step-by-step explanation:
if f(x) and g(x) are inverse function, find f(g(x)).
Answers
Answer:
The answer is x.
Step-by-step explanation:
Inverse functions undo each other, so if f(x) spits out a number, g(x) reverses that and gives you x again.
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 pounds, and Nathan picked 3 pounds. How much more did Sarah pick than Nathan?
1 pounds
2 pounds
pound
1 pound
Answers
Answer:1 pound
Step-by-step explanation:
Directly you see from Qestion Sarah picked 4 pounds and Nathan 3...for difference 4-3=1
Answer:
A: 1 pound
Step-by-step explanation:
4lbs -- 3lbs = 1lbs
Out of all of the topics covered so far in the course (whole numbers, fraction notation: multiplication, division, and mixed numerals), which did you enjoy the most? Which do you enjoy the least? Why?
Answers
Answer: I would say I've liked multiplication the most and division the least! I have always gotten multiplication because.. I don't really know. It's just easy for me. I can't really explain. For multiplication though.. I have never gotten it. It is the exact opposite. I've never understand how you have to skip a digit because you can't divide it to the other number.
Step-by-step explanation:
Hope this helps! This is my opinion.
I made this don't copy my answer
6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please
Answers
71
that's all there is to it
Answer: 71
Step-by-step explanation: 6.39 /0.09
71
xy=80 solve log x- log y=1
Answers
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
A rental car company charges a fixed fee of $30 plus $0.05 per mile. The Boggs family paid $49.75 for their car rental. How many miles did they drive? Write an equation and solve.
Answers
Answer: 395
Step-by-step explanation:
Pueden ayudarme pliiis
Un niño lanza una piedra hacia abajo con velocidad inicial vy = -2 m/s, desde una
altura de 25 m.
a. ¿cuánto tiempo demora la piedra en llegar al suelo?
b. Determina la velocidad para ese tiempo.
c. Realiza las gráficas de posición, velocidad y aceleración para el desplazamiento
de la piedra mientras está en movimiento.
Answers
Answer:\b
Step-by-step explanation:
Which function is shown in the graph below?
y= 22-2 + 3
y = 2X+2+3
y = 2X-3+2 Y=2^x+3+2
Answers
Answer:
B 2^x+2 +3
Step-by-step explanation:
hope this helps :)
The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)
This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).
y = 2X + 2 + 3
This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:
For (7, 0):
y = 2 * 7 + 5
y = 14 + 5
y = 19
For (-8, 5):
y = 2 * (-8) + 5
y = -16 + 5
y = -11
y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:
It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:
a. y = 2X - 3 + 2
b. y = 2ˣ + 3 + 2
a. For y = 2X - 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2 * 7 - 3 + 2
y = 14 - 3 + 2
y = 13
For (-8, 5):
y = 2 * (-8) - 3 + 2
y = -16 - 3 + 2
y = -17
b. For y = 2ˣ + 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2⁷ + 3 + 2
y = 128 + 3 + 2
y = 133
For (-8, 5):
y = 2⁻⁸ + 3 + 2
y ≈ 0.004 + 3 + 2
y ≈ 5.004
To know more about function here
https://brainly.com/question/28193995
#SPJ2
Daniel has 250 songs on his MP3 player.
Ninety-five of the songs are by the same singer.
What percent of Daniel's songs are by that one
singer??
A. 26%
B. 38%
C. 62%
D. 83%
Answers
M=-3/2(-5,1) standard form
Answers
Not sure............but i think it is 8x-1y= -11
I need help on how to do this
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.
Any parallel line will do.
__
b) There is one solution when the graphs intersect in exactly one point.
Any line that crosses the one shown will do.
__
c) There are infinite solutions when the graphs describe the same curve.
A line overlapping the one shown is the one you want.
Which are values of dimes and nickels?
Answers
X-9/7x+2<_0 which graph shows the solution set of
Answers
Answer:
3. The third option is correct.
Step-by-step explanation
Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $49. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy
tiles for the cost to be the same at both stores.
Answers
Answer:
Also need help
Please somebody help me and solve this problem
Answers
Answer:
this is the equation for the graph y=(x+3)(x-2)
AAAAAAA HELP ME PLZZZZ
Answers
Answer:
12 i believe
Step-by-step explanation:
volume; LxWxH
3x2x2
3x2=6
6x2=12
sorry if this is wrong lol but this is what i believe it is
Stella works for a company that makes aluminum cans. A large soup can have a radius of 8 centimeters and a height of 20 centimeters. How much aluminum is used to make the can?
Answers
Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?
Answers
Answer:
5
Step-by-step explanation:
Answer:
Its def 5, My calculations are never wrong
Simplify 45/63 show work plz
Answers
if i have 71% of something done but i need 100% done in 25 days how many percent should i complete everyday
Answers
Answer:
.75% a day
Step-by-step explanation: