What is 1/10 of 1 3.027
Answer:
1.3027
Step-by-step explanation:
Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)
Answer: Choice A
m = undefined
point (-2,5)
==================================================
Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
------------------
All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Use the definition:
f'(x)=[tex]\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
to find f'(x) for:
f(x)=[tex]\frac{1}{\sqrt{x}}[/tex]+x
I need the WORK, not the answer. Thanks!
Using the given definition, for [tex]f(x)=\frac1{\sqrt x}+x[/tex], we have
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\left(\frac1{\sqrt{x+h}}+x+h\right)-\left(\frac1{\sqrt x}+x\right)}h[/tex]
Right away, we see x and -x in the numerator, so we can drop those terms.
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}+h-\frac1{\sqrt x}}h[/tex]
Remember that limits distribute over sums, i.e.
[tex]\displaystyle\lim_{x\to c}(f(x)+g(x))=\lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]
so we can separate the h from everything else in the numerator:
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+\lim_{h\to0}\frac hh[/tex]
Since h ≠ 0, we have [tex]\frac hh=1[/tex], so the second limit is simply 1.
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+1[/tex]
For the remaining limit, focus on the numerator for now. Combine the fractions in the numerator:
[tex]\dfrac1{\sqrt{x+h}}-\dfrac1{\sqrt x}=\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}[/tex]
Recall the difference of squares identity,
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Let [tex]a=\sqrt x[/tex] and [tex]b=\sqrt{x+h}[/tex]. Multiply the numerator and denominator by [tex](a+b)[/tex], so that the numerator can be condensed using the identity above.
[tex]\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}\cdot\dfrac{\sqrt x+\sqrt{x+h}}{\sqrt x+\sqrt{x+h}}[/tex]
[tex]=\dfrac{(\sqrt x)^2-(\sqrt{x+h})^2}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
[tex]=\dfrac{x-(x+h)}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
[tex]=-\dfrac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
Back to the limit: all this rewriting tells us that
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{-\frac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}}h+1[/tex]
Again, the h's cancel, and we can pull out the factor of -1 from the numerator and simplify the fraction:
[tex]f'(x)=\displaystyle-\lim_{h\to0}\frac1{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}+1[/tex]
The remaining expression is continuous at h = 0, so we can evaluate the limit by substituting directly:
[tex]f'(x)=-\dfrac1{\sqrt x\sqrt{x+0}(\sqrt x+\sqrt{x+0})}+1[/tex]
[tex]f'(x)=-\dfrac1{2x\sqrt x}+1[/tex]
or, if we write [tex]\sqrt x=x^{1/2}[/tex], we get
[tex]f'(x)=-\dfrac12x^{-3/2}+1[/tex]
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
What is the solution?
Answer:
x= 12
Step-by-step explanation:
I got it right on edge
8.546 rounded to the nearest tenths?
Answer:
8.550
Step-by-step explanation:
Identify the function family to which g(x) belongs. (g(x) x 3 + 5
How are you doing today, if no answer thats fine to.
Answer:
I am doing great!
Step-by-step explanation:
Answer:
hello im doing good
Step-by-step explanation:
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=54
Step-by-step explanation:
these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.
2x+42+x-24=180
3x+18=180
3x=162
x=54
if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.
There are 785 people seated in a large cafeteria. Six people can sit at each table. How many tables are in the cafeteria?
Add 10 8/9+ 2 2/8+ 16 2/9+ 5 7/9=
Answer:
[tex]\frac{1265}{36}[/tex]
Step-by-step explanation:
[tex]10\frac{8}{9} + 2\frac{2}{8} + 16\frac{2}{9} + 5\frac{7}{9} = \frac{1265}{36}[/tex]I hope this helps!
The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?
Answer:
11370 sachet
Step-by-step explanation:
Answer:
11370 sachets
Step-by-step explanation:
Given parameters:
Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L
Unknown:
Number of sachet of pure water needed to fill a barrel of 5685liters + /
Solution;
To find the number of sachet;
500 x 10⁻³L will fill one sachet of pure water;
For 5685 liters, we would require y sachet of pure water ;
500 x 10⁻³y = 5685
0.5y = 5685
y = [tex]\frac{5685}{0.5}[/tex] = 11370 sachets
Need help on this pleaseeeeee
Answer:
I think it's C
Step-by-step explanation:
I just rotated point K 180 degrees and C was the only one with the coordinate points I got for K'
a) Isaac and his sister plan to surprise their parents by buying them each a pair of shoes.
They agree that Isaac will pay 68% of the price since he receives a greater
allowance. Use an estimation strategy to determine how much Isaac will pay if the
total bill is $97.65. Show the step-by-step process you used to solve the problem.
THIS IS WHAT I GOT EM I RIGHT OR WRONG !!
$97.65 x .68 = 66.402 (rounded)
Isaac will pay $66.40
Answer:
percentage formula
Step-by-step explanation:
if it is 68% on 97.65 dollar the 97.68x 68%/100
(3x - 15)° 0 + 25)
105°
Find the value of a
Ox=35
O x 40
O x = 60
* = 65
TWO THIRDS OF A STUDENT ARE BOYS. HOW MANY BOYS ARE IN MRS. PATRICKS HOMEROOM. DRAW A MODEL OR EXPLAIN
Hope that this model helps!!
Is this a function or not a function? (Picture)
Need to evaluate 256 and fraction 1/4
Answer:
256fraction=1/4
256÷4=64
64 answer this fraction
Which equation is a function?
O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9
the answer is B -- no matter the x factor y should be single
Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.
Answer:
All horizontal lines are NOT parallel.
Step-by-step explanation:
We learned that lines go on forever.
If one line is slightly slanted, and the other line is completely straight, these lines are not parallel, as they will meet at some point.
Hope this helped :)
3.) Find the domain and range for each of the following functions.
Evaluate this exponential expression. 4^5
Answer:
1024
Step-by-step explanation:
4⁵ is 4 multiplied 5 times.
4⁵ = 4 · 4 · 4 · 4 · 4
16 · 4 · 4 · 4
64 · 4 · 4
256 · 4
1024
A Box has a volume of 125 cubic inches. How many 1 inch cubes can fit along the side?
Answer:
OLUME OF A BOX, CUBE, OR CYLINDER V l w = h where l = the length w = the width, and h = the height of the figure 13 6 8 V = 6. Page 1. VOLUME OF A BOX, CUBE, OR CYLINDER. The concept of volume holds great practical importance.
Step-by-step explanation:
34 × (-38) + (-38) × 66 find using suitable properties
Answer:
Step-by-step explanation:
-1292 + (-2508)
= - 3800
4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answer:
Step-by-step explanation:
Hope it helps
What is the equation for the area of the parallelogram? 3x + x = 74 x + 3x + 74 3x • 74 = x x • 3x = 74
Answer:
x • 3x = 74
Step-by-step explanation:
Answer:
its D ;D
Step-by-step explanation:
2k-3/-5 >7 can anyone solve this for me
Answer:
k< -16
Step-by-step explanation:
Find all solutions of the equation x^2+3x+5=0 and express them in the form a+ bi
Answer:
in you question there is the ans hibben
Step-by-step explanation:
x^2+3x+5=0 =a+ bi
Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST
Answer:
They will make 1 triangle the lines will keep going until they meet
From the given triangle only one triangle can be made.
What is geometry?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the unformed triangle is given in the image.
The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.
To know more about geometry follow
https://brainly.com/question/29285656
#SPJ2
The value of y is directly PROPORTIONAL to the value of x. If y=44 when x= 240, what is the value of y when x=84?
If you need the answer in fraction form, then it would be 77/5
This is equivalent to the mixed number 15 & 2/5
======================================================
Work Shown:
y = k*x ..... general direct proportion equation
44 = k*240 .... plug in x = 240 and y = 44
240k = 44
k = 44/240
k = 11/60 .... divide both parts by 4
y = k*x .... go back to the general form
y = (11/60)x .... plug in the k value we found earlier
y = (11/60)*84 .... plug in x = 84
y = 15.4
---------------
Extra info:
15.4 = 15 + 0.4
15.4 = 15 + 4/10
15.4 = 15 + 2/5
15.4 = 15 & 2/5 .... mixed number form
and
15.4 = 15 + 2/5
15.4 = 75/5 + 2/5
15.4 = (75+2)/5
15.4 = 77/5 ... improper fraction
The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?
Answer:
29°
Step-by-step explanation:
Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...
x + 2x + (2x+35) = 180
5x +35 = 180 . . . . collect terms
x +7 = 36 . . . . . . . divide by 5
x = 29 . . . . . . . . . . subtract 7
The first angle is 29°.
