Differentiate
[tex] \sqrt{x} + \frac{1}{5x} - 3[/tex]
with respect to their variable
[tex]\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3[/tex]
[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}-3[/tex]
Derivative of any constant is 0[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}-5x^{-2}[/tex]
[tex]\\ \tt\longmapsto \dfrac{x}{2}^{\frac{-1}{2}}-\dfrac{1}{5x^2}[/tex]
[tex]\\ \tt\longmapsto -\sqrt{\dfrac{x}{2}}-\dfrac{1}{5x^2}[/tex]
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
Find the quotient. Round to the hundredths place.
99.466 divided by 14.8
Answer:
6.72
Step-by-step explanation:
I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148
Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72
Simplify.
What is the answer?
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.
Next, we want to figure out how much g(x) is a compression/stretch of x.
In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.
A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have
kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B
In the x direction, at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.
f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have
f(kx) = f(3x) = (3x)² = 9x² = B
Solve for x please will mark brainliest
Answer:
[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]
Solve the inequality.
4 <-3x – 1= 9
[?]
< x <
[
Hi ;]
4 ≤ -3x - 1 ≤ 9
-3x - 1 ≥ 4 / + 1
-3x ≥ 5 / : (-3)
x ≥ -⁵/₃
-3x - 1 ≤ 9 / + 1
-3x ≤ 10 / : (-3)
x ≤ -¹⁰/₃
-⁵/₃ ≤ x ≤ -¹⁰/₃Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
8, 13, 18, 23 how to write out the sequence Nth term
Answer:
5n+3
Step-by-step explanation:
:)
Answer:
[tex]\alpha n=5n+3[/tex]
Step-by-step explanation:
help pls its ez :))))))))))))))))
Answer:
Yes
Step-by-step explanation:
6 × 18.75 = 112.50
8 × 18.75 = 150.00
11 × 18.75 = 206.25
What is the volume of the following rectangula
prism?
4
units
3
23
units
4
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours
The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!
In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.
Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:
5x/12=1
Simplify.
18 2+6(4+1) -2
Answer:
[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]
Answer:
18×2+6(4+1)-2
= 36+6×5-2
= 36+30-2
= 66-2
=64
HELP PLEASE I NEED THIS ONE!!!
If n/30 lies between 1/5 and 1/3, what are all the possible values of n if n is a whole number?
I’ll give brainliest
Answer:
7, 8, 9
Step-by-step explanation:
1/5 = 6/30
1/3 = 10/30
Name a pair of angles that are a linear pair
Choose the correct answer below.
A.
B.
C.
D.
Answer:
a but
Step-by-step explanation:
i think a
Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18
anyone know this question: 16) -8(-21 - 2) - 6
Answer:178
Step-by-step explanation:
distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.
5/8k=25
how do i do this?
Answer:
[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]
I hope it helped U
stay safe stay happy
Answer:
k=1/40
Step-by-step explanation:
multiple both sides by 8k
5= 25×8k
simplify 25×8k to 200k
5=200k
divide both sides by 200
5/200=k
simplify 5/200 to 1/40
1/40= k
switch sides
k=1/40
7
If 8(x - 2y) = 16x, then what is x in terms of y?
Answer: y = -1/2x
8(x - 2y) = 16x
8x -16y = 16x
-16y = 16x-8x
-16y = 8x
-16y/-16= 8x/-16
y = -1/2x
Help me pls i have to finish my homework i have more questions to post too
Answer:
17) 19
19) 8
Step-by-step explanation:
17)
(6 +6² -4)÷2
(6 +36 -4)÷2
(38)÷2
19
19)
3³ ÷3 - 1
27 ÷3 -1
9 -1
8
Are 8x²y and -5yx2 like terms? Explain.
Answer:
In algebra, like terms are terms that have the same variables and powers. ... Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Answer:
These are not like terms.
Step-by-step explanation:
Although their variables are the same, the exponents are different. LIke terms must have the same variables AND same exponents. The first term's variables are: x raised to the second power times y, while the other term's variables are: y times x times 2
2x ≠ x²
please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
[tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]
What is the slope of the line represented
Hi
the slope is the part before. " X"
dont forget the sign !
have fun !
Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0
Answer:
0.0300300030000...
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.
1632 can be written as 3264/2
0.25 can be written as 1/4
0 could be written as 0/0
but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.
Find the midpoint of points A(9, 2) and B(6,-4) graphically.
Plot the line segment AB by clicking twice on the graph.
Start over
10
9
8
2 6 5
4
3
2
6
-10
--
-5
7
3
2
CH
القومي
-
u
6
7
7
S
9
10
-2
-3 4
-5
9
-7
-8
-10
Answer:
Mid point of A(9,2) and B(6,44) is (7.5, -1)
Step-by-step explanation:
I. If mid point = [tex]\frac{x_{a} +x_{b} }{2}[/tex], [tex]\frac{y_{a}+ y_{b} }{2}[/tex]
So (x) = (9 + 6) / 2 = 7.5
(y) = (2 + (-4)) / 2 = -1
So (x,y) = (7.5, -1)
Leave more question below, I don't understand you question well.
6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99
Answer:
(G)77
Step-by-step explanation:
44+11=55.
55+22=77.
77+33=110.
110+44=154.
154+55=209.
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16