Answers
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
https://brainly.com/question/8533149
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Related Questions
Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
Answers
Answer:
(3, 8)
Step-by-step explanation:
x² - 6x - y + 17 = 0
x² - 6x = y - 17
x² - 6x + 9 = y - 17 + 9
(x - 3)² = y - 8
The vertex is (3, 8)
The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:
1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.
2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.
3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.
4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.
5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.
6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).
Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To learn more about parabolas;
https://brainly.com/question/21685473
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\frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 g− 2 1 g simlily
Answers
Answer:
ok
Step-by-step explanation:
Which list shows the numbers NOT in order from greatest to least
Answers
Answer: C.
Step-by-step explanation:
You notice how the number goes from
3.50 to 3.62 to 3.49 to 3.88
hThe 3.49 is out of place. Thus ruining the order of least to greatest.
Answer: Hewo, there your Answer is Below
My answer would Be C
Step-by-step explanation:
I chose this Answer Because, It starts with 3.5 and then 3.62 and then 3.498
Hope this helps you!!
Have a great day!!!
Pls help me if I cabbnnnnsbdhdhdjdjxjkxx
Answers
Answer:
33.49 mm³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]
[tex] = \frac{100.48}{3} [/tex]
[tex] = 33.4933333...[/tex]
= 33.49 mm³ (rounded to the nearest hundredth)
Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answers
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
please help quick please
Answers
Answer:I need help with the same thing.
Step-by-step explanation:
Answer:
I want to say it is b but yeah not sure.
hope I am right
How do I do number 2 and 4 please help
Answers
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
Find the area of the following parallelogram:
Answers
Answer:
216
Step-by-step explanation:
18 which is the base will be multiplied by the height which is 12 giving you
18 x 12 = 216
HELPP!!! 65 points GIVIN
Answers
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
Ethan purchased a new cell phone for $75.00. The costs of the phone is included in his first month's bill. His cell phone plan charges $0.06 for each minute used.
if Ethan has $90.00 to spend on his first month's bill, what is the maximum number of minutes he can use?
A. 80 minutes
B. 250 minutes
C. 1,250 minutes
D. 1,500 minutes
Answers
Answer:1,250
Step-by-step explanation:
Which of the following is the solution to 8 - 3x =41
A) X=11
B) x=16
C) X=-5
x=-11
Answers
Answer:
x = -11
Step-by-step explanation:
Because 3 x -11 = -33 and
8 -(-33 = 41
Answer:
x=-11
Step-by-step explanation:
8_3x=41
_3x=41-8
_3x=33
Scroll on _3x For both parties
x=11
look at pic 10 pts will mark brainilest
Answers
Answer:
the answer is 3
Step-by-step explanation:
3x4 equals twelve and twelve minus two is ten so the answer is a: 3
also next time be truthful because you said 10 points But this question is only 5.
YOURE VERY LUCKY I DECIDED TO HELP U.
Plssss help what is x
Answers
Answer:
x = 4
Step-by-step explanation:
If you do not want to read the explanation go the the next part in bold
Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.
This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.
Below here is where the work is shown
a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²
5² = 25
3² = 9
we would then have 25 = 9 + b²
Next we subtract 9 from each side
25 - 9 = 16
9 - 9 cancels out
Now we have 16 = b²
finally we want to get rid of the ²
To do so we take the square root of each side
[tex]\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4[/tex]
we're left with b = 4 which means that x = 4
Review
Francisco v
O GRAPHING. FUNCTIONS, AND LINEAR SYSTEMS
Solving a word problem involving a sum and another basic...
A textbook store sold a combined total of 432 physics and biology textbooks in a week. The number of physics textbooks sold was 60 more than the number of
biology textbooks sold. How many textbooks of each type were sold?
Answers
Answer:
246 physics books
186 biology books
Step-by-step explanation:
1) there are 432 total books
2) there are 60 more physics books than biology books
3) 432 - 60 = 372
4) 372 divided by 2 = 186
5) 432 - 186 = 246
Check:
246 + 186 = 432
246 - 186 = 60
hope this helped :)
given that alpha and beta are roots of the quadratic equation ax²+bx+c=0, show that alpha+beta=-6÷a and alphabeta=c÷a
Answers
Answer:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
Step-by-step explanation:
Given
[tex]ax^2 + bx + c = 0[/tex]
[tex]Roots: \alpha \& \beta[/tex]
Required
Show that:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
[tex]ax^2 + bx + c = 0[/tex]
Divide through by a
[tex]\frac{a}{a}x^2 + \frac{b}{a}x + \frac{c}{a} = \frac{0}{a}[/tex]
[tex]x^2 + \frac{b}{a}x + \frac{c}{a} = 0[/tex]
The general form of a quadratic equation is:
[tex]x^2 - (Sum)x + (Product) = 0[/tex]
By comparison, we have:
[tex]-(Sum)x = \frac{b}{a}x[/tex]
[tex]-(Sum) = \frac{b}{a}[/tex]
Sum is calculated as:
[tex]Sum = \alpha + \beta[/tex]
So, we have:
[tex]-(\alpha + \beta) = \frac{b}{a}[/tex]
Divide both sides by -1
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
Similarly;
[tex]Product = \frac{c}{a}[/tex]
Product is calculated as:
[tex]Product = \alpha * \beta[/tex]
So, we have:
[tex]\alpha * \beta = \frac{c}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
The origin of a coordinate plane is (0,0)
True or False
Answers
Answer:
true
hope it is helpful to you
Answer:
The Answer is gonna be True
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answers
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
BC is included between?
Answers
Answer:C
Step-by-step explanation: goobaldy gock
Answer:
the answer is B not C you're welcome
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Answers
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answers
Answer
(tan x + 3)=5
Step-by-step explanation:
runs 12 miles in 90 minutes. How many minutes does he take per mile?
Answers
Answer:
7.5
Step-by-step explanation:
90 divided by 12
Please help!!!!!!!!!!!! Bbb
Answers
Answer:
2x+1
Step-by-step explanation:
the second answer
solve 4z+6v=124z+6v=12 for vv
Answers
Answer:
fish stick :DDDD funny
Step-by-step explanation:
4z +6v = 12z + 6v = 12 :? there is something fishy going on here :/ what did you mean to ask in the question??
1x5x89x78x0x6x8x67x87x897x7799
Answers
Answer:
just use the calculator
The answer is 0 because the equation has something being multiplied by zero, and anything multiplied by 0 is 0, and the same applies to any subsequent multiplications..
A right triangle has a height of 18 inches and a base of 12 inches. Find the area of the triangle in square inches. Enter only the number. The solution is
Answers
Answer:
A=108in^2
Step-by-step explanation:
The area of a triangle is given by:
[tex]a = \frac{b \times h}{2} [/tex]
So,
[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]
Please help I’ll mark you as brainliest if correct
Answers
Answer:
I think it is option B
Step-by-step explanation:
I dont know if I am right
if I am your welcome
Answer:
16.33 inches
Step-by-step explanation:
circumference = πd = (3.14)(5.2) = 16.33 inches
T what do you guys think of this (I know this is for help with math but I have no socail media.)
Answers
Answer:
This is very cute.
Step-by-step explanation:
Answer:
Cute
Step-by-step explanation:
28 divided by 6 is?? I’m in the 7th grade helping my little sis out can remeber this stuff
Answers
Answer:
4.6666(repeating)
Step-by-step explanation:
36’s square root is what??? This is literally due in 15 minutes!
Answers
Answer:
square root of 36 is 6
Step-by-step explanation:
because 6 x 6 =36
Answer:
the square root is of 36 is 6
Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00.
Answers
Answer:
7.4
Step-by-step explanation:
10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40