h'(1) is equal to (g'(1) - 2g(1)). To find the specific value of h'(1), you would need to know the explicit form or additional information about the function g(x) and evaluate it at x = 1.
To find h'(1), we will differentiate h(x) using the quotient rule and then substitute x = 1 into the derivative expression.
Using the quotient rule, the derivative of h(x) = g(x)/[tex]x^{2}[/tex] is given by:
h'(x) = (g'(x) × [tex]x^{2}[/tex] - g(x) × 2x) / [tex](x^{2})^{2}[/tex]
= (g'(x) × x^2 - 2g(x) × x) / [tex]x^{4}[/tex]
= ([tex]x^{2}[/tex] × g'(x) - 2x × g(x)) / [tex]x^{4}[/tex]
= (x × (x × g'(x) - 2g(x))) / x^4
= (x × (x × g'(x) - 2g(x))) / ([tex]x^{2}[/tex] × [tex]x^{2}[/tex])
= (x × (x × g'(x) - 2g(x))) / ([tex]x^{2}[/tex])
Now, substitute x = 1 into the derivative expression:
h'(1) = (1 × (1 × g'(1) - 2g(1))) / (1)
= (g'(1) - 2g(1))
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Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)
The length of a bed would be about
Answer:
2 yards.
Step-by-step explanation:
We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.
Answer:
2 yards
Step-by-step explanation:
The question is asking what the length of a bed would be.
To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.
So with this info, we can scratch D and B. As for A and C, let's convert them into feet.
1 yard equals 3 feet, meaning two yards would be 6 feet.
1 mile is 5280 feet, this is obviously wrong.
A is our answer.
How do I factor -2y+2y^2-24
Which expression can be used to solve 3/5 ÷ 7/10. A. 5/3×7/10 B. 5/3×10/7 C. 3/5×10/7 D. 3/5×7/10
Answer:
3/5 * 10/7
Step-by-step explanation:
To solve division of fractions
3/5 ÷ 7/10
Use copy dot flip
3/5 * 10/7
Answer:
C) 3/5 x 10/7
Step-by-step explanation:
Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78
Can someone help me.
Answer:
A.5,683.0000
B. 1,289,293.0000
C.3,567,920.0000
Step-by-step explanation:
Is 4x+1=f(x) a quadratic function?
Answer: no
Step-by-step explanation:
the x has to be squared to form a parabola with a vertex and 2 x intercepts
-2(3x-4)+3x=17 solve for x
x=-3
-6x + 8 + 3x = 17
-3x + 8 = 17
-3x = 17 - 8
-3x=9
x=-9/3
x=-3
What is 0.3709 rounded to 2 decimal places?
Answer:
If its to the left the answer is 1 and if its to the right the answer is 10 i think
Step-by-step explanation:
sorry if its wrong
Estimate 0.95% of 700
Answer:
6.65
Step-by-step explanation:
0.95% of 700
= 0.0095*700
= 6.65
The value of 0.95% of the number 700 is 6.65.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number 700 is 0.95%. The number will be calculated as below,
Number = 0.95% of 700
Number = 700 x 0.95/100
Number = 6.65
Therefore, the value of 0.95% of the number 700 is 6.65.
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Factor completely by grouping: 6x² + 2x + 9x +3
is
Answer:
(2x+3)(x+1)
Step-by-step explanation:
6x² + 2x + 9x +3
(6x² + 2x) + (9x +3)
2x (x+1) + 3 (x+1)
(2x+3)(x+1)
Answer:
(3x+1) ( 2x+3)
Step-by-step explanation:
6x² + 2x + 9x +3
Make the groups
6x² + 2x + 9x +3
Factor 2x out of the first group and 3 out of the second group
2x( 3x+1) + 3(3 x+1)
Now factor out the common term inside the parentheses
(3x+1) ( 2x+3)
Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36
Answer:
C. log7 36....................................
The given logarithmic expressions together can be written as log₇ 36
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
= log₇(2 x 6) + log₇3
= log₇ 36
We have the result
log A + log B = log AB
Here the question is log₇(2 x 6) + log₇3.
Using the property of logarithm we will get,
= log₇(2 x 6) + log₇3
= log₇(2 x 6 x 3)
= log₇ 36
So, log₇(2 x 6) + log₇3 = log₇ 36
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Evaluate 3n + 4^2 when n = 2
Answer:
22
Step-by-step explanation:
3n + 4^2
n = 2
3(2) + 4^2 = 6 + 16 = 22
8.
Find the slope of the line.
A. 0
B. -2
C. Undefined
D. 2
Answer:
C. Undefined
Step-by-step explanation:
Input Data :
Point A
(
x
A
,
y
A
)
= (2, 5)
Point B
(
x
B
,
y
B
)
= (2, -2)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
−
2
−
5
2
−
2
=
−
7
0
m = -INF
Answer:
The answer is C (Undefined)
Step-by-step explanation:
A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.
What is the value of x?
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
c = x
x^2 = a^2 + b^2
x^2 = 24^2 + 7^2
x^2 = 576 + 49
x^2 = 625
x = 25
Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?
Answer:3320
Step-by-step explanation:
What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1
D:) o b what ? you very whell
Step-by-step explanation:
A b. d. c
Answer:
The answer is -2
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
Which of the following best describes the equation below? y = 5x2 - 7 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear
Answer:
D
Step-by-step explanation:
the answer is
Nonlinear
compare by using < > or = between the pairs of numbers l - 8l ____ l2l
here are 15 points if you help me lovely person ;)
Answer:
It is >
Step-by-step explanation:
because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2
Can you conclude that these triangles are congruent?
Answer:
yes
Step-by-step explanation:
each side is length by with so you can tell these are congruent
Answer:
Yes
Step-by-step explanation:
The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.
please help i dont know 7th grade math cry
Answer:
so.. this means that they're equal...
so.. 8 + x = 35
u need to solve for x...
so u do, 35 - 8 = 27
so it would be..
and 27 divide 3 = 9
so x = 9
so the equation would be...
(3 x 9 + 8) = 35
SO, the answer is 9
Step-by-step explanation:
can I have brainliest please? hee hee
HELP! 6th grade work due today pleaseeeeee
Answer:
s = 5 feet
Step-by-step explanation:
.................
I need help ASAP pleaseeeeee
Answer: area of smaller is 18 and larger is 45 so the answer is 27
Step-by-step explanation:
In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.
Answer: 64 inches
Step-by-step explanation: Solve using sohcahtoa for missing info
Solve the following equation for p. Select all possible solutions. | p/2-1 |= 0.5
0.5
4
2
3
1
5
Answer:
4
Step-by-step explanation:
need help with this
9514 1404 393
Answer:
f(-2) = 2f(0) = 4Step-by-step explanation:
a) Locate the point -2 on the x-axis. Follow the line up until it meets the blue curve. Follow that grid line to the right to see where it meets the y-axis. It is y=2. That means f(-2) = 2.
__
b) Locate y=4 on the y-axis. Notice that the curve intersects the y-axis there, so x=0.
x = 0 is the only value of x for which f(x) = 4.
7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.
Answer:
$240
Step-by-step explanation:
Original price: p
discount 25% (multiplier: 0.75)
sale price: $180
p x 0.75 = 180
p = 180/0.75
p = 240
Help, I'm bad at math XD
1. x = 28
2. x = 13
3. x = 11
4. x = 50
5. x = 53
6. x = 77
7. x = 5
8. x = 70
will a one variable equation always have only one solution
Answer:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.
Step-by-step explanation:
We want to see if a one-variable equation always has only one solution.
This is false, as one-variable equations can have no solutions or more than one solution.
So we start with the statement:
"A one-variable equation always has only one solution".
We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:
x^2 - 4 = 0
This is a one-variable equation, and solving it we have:
x^2 = 4
x = ± √4 = ±2
So here we have two solutions, 2 and -2, thus the statement is false.
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ratio 11 to 6 in perimeter
Answer: the answer will be 6/4
Step-by-step explanation: