Answer:
4x+2h
Step-by-step explanation:
The average rate of change of a continuous function,
f
(
x
)
, on a closed interval
[
a
,
b
]
is given by
f
(
b
)
−
f
(
a
)
b
−
a
So the average rate of change of the function
f
(
x
)
=
2
x
2
+
1
on
[
x
,
x
+
h
]
is:
A
r
o
c
=
f
(
x
+
h
)
−
f
(
x
)
(
x
+
h
)
−
(
x
)
=
f
(
x
+
h
)
−
f
(
x
)
h
...
.
.
[
1
]
=
2
(
x
+
h
)
2
+
1
−
(
2
x
2
+
1
)
h
=
2
(
x
2
+
2
x
h
+
h
2
)
+
1
−
2
x
2
−
1
h
=
2
x
2
+
4
x
h
+
2
h
2
−
2
x
2
h
=
4
x
h
+
2
h
2
h
=
4
x
+
2
h
Which is the required answer.
Additional Notes:
Note that this question is steered towards deriving the derivative
f
'
(
x
)
from first principles, as the definition of the derivative is:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
This is the function we had in [1], so as we take the limit as
h
→
0
we get the derivative
f
'
(
x
)
for any
x
, This:
f
'
(
x
)
=
lim
h
→
0
4
x
+
2
h
=
4
x
Please help me out please
9514 1404 393
Answer:
(a) m = 0.47, b = 154.30
(b) b = fixed costs, listed as insurance and car payments.
Step-by-step explanation:
(a) All you're required to do here is recognize that the fixed costs of $154.30 for insurance and car payments represent the constant part of the monthly expense. And, the $0.47 per mile represents the mileage-related part of the monthly expense. Of course the mileage-related charge is the product of the per-mile charge ($0.47) and the number of miles (x).
Then the monthly charge is ...
monthly cost = mileage-related cost + constant (fixed) cost
y = mx + b
y = 0.47x + 154.30 ⇔ m = 0.47, b = 154.30
__
(b) The 'b' in the equation is the fixed monthly cost: $154.30 for insurance and car payment.
WHERE DO THEY GO??? PLEASE HELP MEEE
Answer:
Step 1: 2x - 6 = 4x
Step 2: -6 = 2x
Step 3: -3 = x
Step-by-step explanation:
Step 1: Start off with the distributive property, multiplying 2 by x and -3.
2(x - 3) = 4x ------> 2x - 6 = 4x
Step 2: Subtract 2x from both sides.
2x - 6 = 4x ------> -6 = 2x
Step 3: Divide by 2 to solve for x.
-6 = 2x ------> x = -3
ngl you should probably know this...
Answer:
4, 3, then 5
Step-by-step explanation:
1. 2x-6=4x
2. -6=2x
3. -3=x
Solve for X.
- 4x + 60<72
OR
14x+ 11 < -31
Choose 1 answer:
-4x + 60 < 72
= -4x > 72 - 40
= -4x > 12
= x > 12/-4
= x > -3
Solve for z
THANK U SM
I WILL MARK BRAINILIEST
Answer:
z=7
Step-by-step explanation:
Combine like terms: 2z=14
Reduce the greatest common factor on both sides of the equation z=7
answer: z= 7
Answer:
z = 7
Step-by-step explanation:
6z + z - 4z + 4z - 5z = 14
Collect like terms
6 + 1 - 4 + 4 - 5
-4 and 4 cancel out each other so remove it from the equation
6 + 1 - 5 = 2
2z = 14
Divide by 2 to isolate z
z= 7
Simplify the following polynomial expression.
(3x^2 – 1x– 7) - (532 – 4x - 2) + (c+ 3)(x+ 2)
Answer:
cx+3x^2+2c+6x-531
Step-by-step explanation:
what does it mean when y tends to increase as x increases, the two data sets have a
Answer:
1] She would not have to change a diaper, they said. In fact, she would not have to do anything at all. Mrs. Winter said that Charles would not wake while she and Mr. Winter were out at the movies. He was a very sound sleeper, she said. No need to have a bottle for him or anything. Before the Winters left they said absolutely please not to look in on the sleeping baby because the door squeaked too loudly.
[2] Harriet had never held a baby, except for one brief moment, when she was about six, when Mrs. Antler next door had surprisingly bestowed¹ on her the tight little bundle that was their new baby, Andrea. Harriet had sat very still and her arms had begun to ache from the tension by the time Mrs. Antler took back her baby. Andy was now a plump seven-year-old, older than Harriet had been when she held her that day.
[3] After two hours of reading all of the boring mail piled neatly on a desk in the bedroom and looking through a depressing wedding album filled with photographs of dressed-up people in desperate need of orthodonture² (Harriet had just ended two years in braces and was very conscious of malocclusion³ issues) while flipping channels on their television, Harriet turned the knob on the baby's door very tentatively, but it seemed locked. She didn’t dare turn the knob with more pressure because what if she made a noise and woke him and he started to cry?
[4] She stood outside the door and tried to hear the sound of a baby breathing but she couldn’t hear anything through the door but the sound of the occasional car that passed by on the street outside. She wondered what Charles looked like. She wasn’t even sure how old he was. Why had she agreed to baby-sit when Mr. Winter approached her at the swim club? She had never seen him before, and it was flattering that he took her for being capable, as if just being a girl her age automatically qualified her as a baby-sitter.
[5] By the time the Winters came home, Harriet had eaten most of the M & M's in the glass bowl on their coffee table: first all the blue ones, then the red ones, then all the green ones, and so on, leaving, in the end, only the yellow.
[6] They gave her too much money and didn’t ask her about anything. Mrs. Winter seemed to be waiting for her to leave before checking on the baby. Mr. Winter drove her home in silence. When they reached her house he said, My wife. He hesitated, then he said, You understand, don't you? and Harriet answered Yes without looking at him or being sure what they were talking about although she did really know what he was telling her and then she got out of his car and watched him drive away.
___________
¹ Bestow (verb): to give or present
² Orthodonture refers to the branch of dentistry dealing with the prevention or correction of irregularities of the teeth.
³ Malocclusion refers to a misalignment of teeth.
Step-by-step explanation:
Comment on the impact of the flashback in paragraph 2. How does it contribute to the story? Use textual evidence to justify your response.
helppp meee
^ this is the question
20mnx^{2} \frac{x}{y} 50mx^{2} 4nx^{2} 9
Answer: 20m^(2)-9m-20
Step-by-step explanation
Provide an example of linear equation. The example should show that the output doubles or increases as the input increases and reduces when the input reduces too.
Answer:
[tex]y=2x+1[/tex]
Step-by-step explanation:
Use the formula [tex]y=mx+b[/tex]
Switch out any number for '[tex]m[/tex]' and for '[tex]b[/tex]' and your input would be '[tex]x[/tex].'
Just make sure your '[tex]m[/tex]' is larger than your '[tex]b[/tex].'
An example could be, [tex]y=2x+1[/tex]
The graph of y=f(x) is shown. Please answer, will mark BRAINELIST!
Answer:
a) -2
b) -5
Mark me bailiest
What is the measure of the missing exterior angle?
Answer:
54 degrees
Step-by-step explanation:
The sum of all the exterior angles on ANY convex polygon = 360 degrees
X = 360-47-97-36-88-38
= 54 degrees
Answer the question in the photo please
Answer:
Brian because if you do the math correctly it should be Brian
Answer:
Laurie
Step-by-step explanation:
Laurie
12 +3 (3² + (-9)) = 12 +3 (9 +(-9)) {Here, 3² is calculated}
= 12 + 3 *0 {9 - 9 = 0}
= 12 + 0 {Anything multiplied by 0 = 0}
= 12
solve pls brainliest
Answer: (a.) 3x18= +54 meters. (b.) (-12)+(-12)+(-12) =-36 Celsius
Step-by-step explanation:
Answer the question in the photo please.
Answer:
The answer is -2
Step-by-step explanation:
2 to the 3rd power would be the same as saying 2x2x2 which is 8. Now with that, you know that y is 6 and o is 4, so you would do 8-6-4. I hope this helps!
Passing through (-2,-6) and parallel to the line whose equation is y=-3x+4
Write an equation for the line in point-slope form
Answer:
y = -3x - 12
Step-by-step explanation:
Lines that are parallel have the same gradient.
Therefore using the point (-2,-6) you can make your own equation.
-6 will be y, -2 will be x
All you have to do is find the y-intercept which is C in y=mx+c
-6 = -3(-2) + c
-6 = 6 + c
-12 = c
Therefore;
y = -3x - 12
Please help
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f (x - 1)
b. y = f (6)
y - 1 = f(x)
d. 3 = f(x)
Answer:
answer is B
Step-by-step explanation:
Answer: a
Step-by-step explanation:
4. A colony of bacteria is growing in such a way that each generation is 2.5 times as large as the previous generation. Suppose there are 450 bacteria in the first generation.
a) Show that nº generation is 180(2.5)^n
b) How many will there be in the fifth generation?
c) What will be the total number of bacteria in the first tenth generations to the nearest integer? [10 marks]
Step-by-step explanation:
I think there are some typos in a)
anyway, this is a geometric sequence.
that means that after a starting value each new term is created by multiplying the previous term by a certain factor.
a)
s1 = 450
factor f = 2.5
so,
s2 = 450×2.5 = 1125
and so on.
from that we see that
sn = 450×(2.5)^(n-1)
and as
450/2.5 = 180
or
450 = 180×2.5
we can "extract" another 2.5 factor from the basic 450.
so,
sn = 180×2.5×(2.5)^(n-1) = 180×(2.5)^n
b)
s5 = 180×(2.5)⁵ = 17,578.125 or rounded 17578
c)
the question is unclear. are the bacteria of previous generations still there, when a new one is generated ?
then the 2.5 factor creates the sum implicitly, and the total number of bacteria in the first 10 generations is simply the 10th term s10.
s10 = 180×(2.5)¹⁰ = 1716613.76953125 = 1,716,614
or is it meant to sum the numbers of each generation (the old bacteria "go away", when the next generation is generated) ?
the sum of the first n terms of such a geometric sequence is
sum = a1×(1 - f^n)/(1 - f)
so, for our first ten terms
sum = 450×(1 - 2.5^10)/(1 - 2.5) =
= 450×-9535.7431640625/-1.5 =
2860722.94921875 = rounded 2,860,723
x : (x + 3) = 2 : 3
Work out the value of x
Step-by-step explanation:
x : (x + 3) = 2 : 3
[tex] \frac{x}{x + 3} = \frac{2}{3} [/tex]
[tex]3x = 2x + 6[/tex]
[tex]3x - 2x = 6[/tex]
[tex]x = 6[/tex]
The value of x on simplifying the expression x : (x + 3) = 2 : 3 is 6.
What is the ratio?If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios. It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.
Given:
x : (x + 3) = 2 : 3,
Calculate the value by simplifying the expression,
3x = 2 (x + 3)
3x = 2x + 6
x = 6
To know more about Ratios:
https://brainly.com/question/13419413
#SPJ2
. Write the equation of a line with a y-intercept of 2 and a slope of - Graph the equation 3
Answer:
y=3/4x+2
Step-by-step explanation:
Idont know how to graph on brainly
Find the point-slope equation of the line with slope -3 that passes
through the point (2, -10).
Answer:
Step-by-step explanation
(-y-y1)/(x-x1)= m
y-(-10)/(x-2)= -3
y= -3x -4
Answer:
[tex]y+10=-3(x-2)[/tex]
Step-by-step explanation:
First we must know the format of point-slope form.
This would be: [tex]y-y1 = m (x-x1)[/tex]
Given x = 2, y = -10, and that our slope MUST be -3
Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: [tex]y=mx+b[/tex] where "m" is the slope.
-10 = -3(2) + b
-10 = -6 + b
-4 = b
Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be: [tex]y=-3x-4[/tex]
We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10
Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.
[tex]y+10=-3(x-2)[/tex]
(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this: [tex]y - (-10)[/tex] which turns into a positive!)
Huzzah! We now have our equation in point-slope form which is equivalent to: [tex]y=-3x-4[/tex]
Feel free to check on the Desmos graphing calculator if you wish!
If you have any questions feel free to ask! Hope this helped!
what is c in c/4 = - 9/8 ?
Answer:
c = -9/2
Step-by-step explanation:
3.
If the second and the seventh terms of a geometric progression are 6 and 1458
respectively, find the first term.
Answer:
steps below
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₁ * r²⁻¹ = 6
a₁ * r = 6 ... (1)
a₁ * r⁵ = 1458 ... (2)
(2)/(1) : r⁴ = 243 r = ±3 [tex]\sqrt[4]{3\\}[/tex]
if r = 3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = 6 / 3\sqrt[4]{3} \\a_{1} = \frac{2}{3} \sqrt[4]{27}[/tex]
if r = -3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = -\frac{2}{3} \sqrt[4]{27}[/tex]
The first term of the geometric progression is 256.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
Let the first term of the geometric progression be denoted by 'a', and let the common ratio be denoted by 'r'.
According to the problem, the second term is 6, so we have:
ar = 6 ...(1)
Similarly, the seventh term is 1458, so we have:
[tex]ar^6[/tex] = 1458 ...(2)
We can use equation (1) to solve for 'r', and then substitute the value of 'r' into equation (2) to solve for 'a'.
From equation (1), we have:
r = 6/a
Substituting this into equation (2), we get:
[tex]a(6/a)^6[/tex] = 1458
Simplifying the right side of the equation, we have:
[tex]6^6[/tex] = 1458a
Solving for 'a', we get:
a = [tex]6^6[/tex]/1458 = 256
Therefore,
The first term of the geometric progression is 256.
Learn more about geometric sequence here:
https://brainly.com/question/2321576
#SPJ2
A student measured the length of a certain bar as 20 cm, which exceeded the actual length by 10% the actual length of the bar was
Answer:
18cm
Step-by-step explanation:
20/10 = 2cm
So since 2x10 is 20 and it exceeded only 10%, we only subtract 2 from 20 which you leave you with 18cm.
3 x 10⁹ divided by 2.28 x 10⁸, In scientific notation.
Answer:
0.131579 x 10^2
Step-by-step explanation:
Hope It helps
CAN SOMEONE HELP ME EVALUATE THE EXPRESSION (4^2-4)+6/2
Answer:
2 × [tex]4x^{n}[/tex]- 1
Step-by-step explanation:
One taxi company
charges $5 just to
stop, and $0.8 per
mile after that.
Another taxi company
charges $11 just to
stop, and $0.6 per
mile after that.
For _____miles the
two companies will
cost the same.
Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.
Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours
Since they worked a total of 7 days, hence:
x + y = 7 (1)
Also, they flew for 24 hours hence:
4x + 2y = 24 (2)
Solving equations 1 and 2 simultaneously gives:
x = 5, y = 2
Therefore they fly 4 hours for 5 days and 2 hours for 2 days.
Find out more at: https://brainly.com/question/16763389
Cassandra Lu earns $433.21 a week. The Social Security tax rate is 6.2% of
gross pay. The Medicare tax is 1.45% of gross pay. How much are her paycheck
deductions this week for Social Security and Medicare tax?
A.$33.99
B.$33.14
C.$34.43
D.$35.25
Work Shown:
Social Security = 6.2% of 433.21 = 0.062*433.21 = 26.86
Medicare = 1.45% of 433.21 = 0.0145*433.21 = 6.28
Add up those results to get 26.86+6.28 = 33.14
please help I'm gonna fail
Answer:
Ask me things ill try my best!
A bad contains 35 colored maebles. There are 6 blue marbles. 7 red marbles. 12 yellow marbles and 10 clear marbles. What is the ratio of blue marbles to clear marbles
I need help pleAse and thank you
Answer:
The last
Step-by-step explanation:
6^2 = 36 and (-6)^2=36 so the last is the correct answer.
Answer:
Last Option
Step-by-step explanation:
1: Take the square root of both sides.
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{36}[/tex] [tex]x[/tex] = ± [tex]\sqrt{36}[/tex] [tex]x = 6[/tex] or [tex]x = -6[/tex]2. Now, the points, q and p, on the last option are at -6 and 6. Therefore, the last option is the correct answer.