Answer:
lim = 1/6
Step-by-step explanation:
Apparently, we have ...
[tex]g(t)=\sqrt{t+7}[/tex]
It often works well to multiply by the conjugate of a difference that approaches zero.
[tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]
88888*88888 help me please
y = -5x+1 linear or nonlinear
Please I need help with this
How to do this problem
Answer: a. y=3 slope = 0
b. x=-4 slope does not exist
Step-by-step explanation:
78300 rounded to the nearest hundred HELP 100 POINTS
A 78346
B78273
C78251
D78389
E78249
Answer:
Its 78,300
Step-by-step explanation:
which system of equation does the graph represent
Find the slope of the line passing through the points(3,-9) and(2,-2) .
Answer:
-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-9))/(2-3)
m=(-2+9)/-1
m=7/-1
m=-7
write 321.51 to the nearest tenths
Step-by-step explanation:
321.5 is the correct answer
The tenths is the number after the decimal points always
EXAMPLES
3.4
4.2
You get the point.
Now to round you look at the second number if it is lower than 5 make it a zero
321.50 is equivalent to 321.5
So that's the answer: 321.5.
(If the thingy is bigger than five make the number left to it increase by one)
(If it's equal to five make the number increase, different places have different rules)
In one week, a farmer sells pumpkins to 60% of his customers.
If 720 customers purchase pumpkins, how many total customers does the farmer have?
Answer:
1,200
Step-by-step explanation
Multiply 720 and 100 = 72,000
Divide by 60 = 1,200
Answer:
The answer is 1,200
Step-by-step explanation:
First Multiply 720 and 100 which = 72,000
Then Divide 72,000 by 60 = 1,200
Find the perimeter of a regular polygon with an interior angle of 90° and side length 3.5 ft.
Please be accurate and explain.
Answer:
p=14 ft
Step-by-step explanation:
The figure that meets these conditions is the square
The perimeter:
4(3.5) = 14 ft.
Hope this helps
Choose the symbol that correctly compares these mixed numbers.
Answer:
It is 7 2/11 is less then 7 4/10
Step-by-step explanation:
You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]
Answer: B
Use the distributive property to write an experssion that is equalent to 7(3x-4)
Answer:
21x-28
Step-by-step explanation:
the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.
Answer:
21x-28
Step-by-step explanation:
distribute the 7 to the 3x & the -4
you get 21x-28
find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number
Answer:
n(E) = 6
Step-by-step explanation:
That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.
Help me please I don’t know what to don
Find the equation ( in slope - intercept form ) of the line with the given slope that passes through the point with the given coordinates . slope : 4/3 ordered pair : (1, 4)
help pls!
Answer:
y = 4/3x +8/3
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
For the given point and slope, this is ...
y -4 = 4/3(x -1)
Adding 4 and eliminating parentheses, you have ...
y = 4/3x -4/3 +4
y = 4/3x +8/3
Select the correct answer from each drop-down menu.
what is 1 plus 1
Ms. Usman buys about 14.4 gallons of gas every other week. How many gallons of ir gas does she buy in a year?
Answer:
374.4 gallons
Step-by-step explanation:
there are 52 weeks in a year
every other week means once every two weeks
52 / 2 =26
14.4 gallons x 26 = 374.4 gallons
divide g by 9, then triple the result
Answer:
nose que dice no hablo inglesh :v
Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0
Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 is
divided by 4x + 3.

Answer:
your answer will become 69.
1/2+2/3 divided by 1/6
(no links)
[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
plz help me to answer
Answer:
if you can only pick one it's e
Step-by-step explanation:
Im 90% sure a and c are both true answers while 70% sure that b and d are both true answers so unless someone says otherwise e is your best bet
a book is marked down by 28% from the original price of 19.50 what is the new price
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
I NEED HELP WITH THIS PLEASE HELP ME
Answer:
1a: f(x) = x³ -6x² +9x -4
1b: no breaks; the function is defined everywhere
2a: (-∞, 5]
2b: y = -3; y = -1
2c: x → -∞, y → -3; x → ∞, y → -1
Step-by-step explanation:
1A:The factored form of f(x) is ...
f(x) = (x -4)(x -1)²
f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4
f(x) = x³ -6x² +9x -4
__
1B:The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.
There are no breaks in the domain of h(x).
__
2A:See the attachment for a graph.
-∞ < y ≤ 5 . . . . range of f(x)
__
2B:The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:
x → -∞, y → -3 . . . . asymptote is y = -3
The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.
x → ∞, y → -1 . . . . asymptote is y = -1
__
2C:See part B.
B+8/2=6
How do I do this
Answer:
B = 2.
Step-by-step explanation:
First work out 8/2. Okay so how many 2's go into 8? 4.
We now have B + 4 = 6.
Now that we've simplified it a bit we can do a reverse equation and turn it into subtraction.
Take the answer (6) and 4 and put them into a subtraction equation,
6 - 4. And simple subtraction should be easy so 6 - 4 = 2.
So B equals 2. Let's check it! 2 + 4 = 6. I think that sounds right so that will be the answer. B=2.
Hope that helps. x
please help me on this
Answer:
3
Step-by-step explanation:
2 + 3 = 7
--- --- ---
6 6 6
Write an equation of the perpendicular bisector of the segment with endpoints (3,-7) and (-5,3) writing non-integers as simplified fractions:
Answer:
Step-by-step explanation:
What is the slope of the line throught (-9, 6) and (-3, 9)?
Answer:
The slope is 1/2
Step-by-step explanation:
To find slope, use the formula y2-y1/x2-x1
Plug the points in and solve.
9-6/(-3)-(-9)
3/-3+9
3/6
1/2
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Formula:
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Assign the points as [tex]x_1[/tex], [tex]x_2[/tex], and, [tex]y_1[/tex], [tex]y_2[/tex]
[tex](-9 = x_1, 6=y_1) \:\:\:\:(-3=x_2, 9=y_2)[/tex]
Plug these points into the formula; solve
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{9-6}{-3-(-9)}\\=\frac{1}{2}[/tex]
[tex]\bold{m=\frac{1}{2}}[/tex]
Therefore, [tex]\frac{1}{2}[/tex] is the slope of the line through [tex](-9, 6)[/tex] and [tex](-3, 9)[/tex].
Help me plzzzzzzz! I need this today!
Answer:
it looks like y int is about 2550
Step-by-step explanation:
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is your total bill
Answer:
$4.32
Step-by-step explanation:
If you are splitting it evenly, just divide 12.96 by 3
12.96 / 3 = $4.32