True. If y is a differentiable function of u and u is a differentiable function of x, then the chain rule states that y is a differentiable function of x.
The chain rule states that if y is a function of u and u is a function of x, then the derivative of y with respect to x is equal to the derivative of y with respect to u multiplied by the derivative of u with respect to x. This means that if y is a differentiable function of u and u is a differentiable function of x, then y is also a differentiable function of x.
In mathematics, a function is said to be differentiable at a point if it is possible to define the derivative of the function at that point. The derivative of a function is a measure of how the function changes as its input (or independent variable) changes. It is defined as the limit of the difference quotient, which is a measure of the rate of change of the function over a small interval around the point of interest.
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Solve the system of linear equations by substitution.
[tex] \large{\red{\underline{\bf{Required \: Solution \: : }}}} [/tex]
Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.
y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.
[tex]: \implies \: \sf{y \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - 6}[/tex]
[tex]: \implies \: \sf{x \: - 4x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ - 3x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}[/tex]
[tex]: \implies \: \sf{ 3x \: = \: 6}[/tex]
[tex]: \implies \: \sf{ x \: = \: \dfrac{6}{3} }[/tex]
[tex]: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }[/tex]
[tex]: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar[/tex]
Therefore, value of x is 2..!!
Finding out value of y :
Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.
[tex]: \implies \: \sf{ y \: = \: x \: - \: 4 }[/tex]
[tex]: \implies \: \sf{ y \: = \: 2 \: - \: 4 }[/tex]
[tex]: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar[/tex]
Therefore, value of y is -2.
in a right triangle, if sin(theta)= 8/17, what is tan (theta)?
sin θ = perpendicular/ hypotenuse
tan θ = perpendicular/base
By applying Pythagoras theorem, you get the base as 15
So, your answer is 8/15
ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Okay, hello to you too.
Answer:
Whats in the docx. I don't want to open it.
Step-by-step explanation:
Identify the lobe of the brain that is highlighted.
a) frontal
b) temporal
c) occipital
d) parietal
The lobe of the brain that is highlighted is Temporal Lobes.
Therefore, The correct option is B.
Temporal Lobes of the brain =
The temporal lobes are a region of the brain located on the sides of the head, beneath the lateral fissure, which separates them from the frontal and parietal lobes.
They are part of the cerebral cortex and play a crucial role in various cognitive functions and sensory processing.
Here are some key features and functions associated with the temporal lobes:
MemoryUnderstanding Language (Receptive Language)SequencingHearingOrganizationHence the correct option is B.
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2. Find the area of the trapezoid.
A. 44^3 ft
B. 52^3 ft
C. 44^3 - 24ft
D. 60^3 ft
Answer:
i think the answer is b i hope it helps
Step-by-step explanation:
step by step please :(
Convert the equation to Standard Form.
y=2(x+1)^(2)-4
Answer:
y = 2x^2 + 4x - 2
Step-by-step explanation:
y=2(x+1)^(2)-4 is in vertex form. We want the same equation in standard form, which looks like y = ax^2 + bx + c.
Perform the indicated multiplication (squaring of x + 1):
y = 2(x^2 + 2x + 1) - 4, or
y = 2x^2 + 4x + 2 - 4, or
y = 2x^2 + 4x - 2 This is in the standard form of a quadatic.
Neptune has a diameter of about 3 x 10^4 miles. Earth has a diameter
of about 8 x 10^3 miles.
Earth's diameter is about__
the size of Neptune's diameter.
2.67 times
37.5 times
0.267 times
26.7 times
Answer:
0.267 times
Step-by-step explanation:
(8×10³) ÷ (3×10⁴) = 0.2666666667
Please show work
I'll give brainliest
Answer:
7
Step-by-step explanation:
a right angle is 90 degrees so
90=76+2x subtract 76 from both sides
-76 -76
________
14=2x divide 2 from both sides
_ ___
2 2
7=x
Check:
76+(2*7)=90 correct
Answer:
x=7
Step-by-step explanation:
76°+2n=90°
2x=90-76
[tex] \frac{2x}{2} = \frac{14}{2} [/tex]
[tex]x = 7[/tex]
hope it helps...
Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.
Answer:
number of hours = 3 hours
Step-by-step explanation:
Let
x = number of hours
Casa Lucia = 200 + 500x
Silver Fox = 1,100 + 200x
To solve the equation, equate both cost of rent
Casa Lucia = Silver Fox
200 + 500x = 1,100 + 200x
200 - 1,100 = 200x - 500x
-900 = - 300x
x = -900 / -300
x = 3 hours
number of hours = 3 hours
The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.
It means both locations cost the same if rented for 3 hours each
Match the systems of equations to their solutions.
Answer:Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
:)
What is the output is 2 less than twice the input.
Answer:
no
Step-by-step explanation:
at least I don't think so be cause it hard to explain
HELPPPPP WILL MARK BRAINLIEST THIS IS DUE AT 1:50!!!!
Can someone help me with this. Will Mark brainliest.
Answer:
true
Step-by-step explanation:
a rhombus always has opposing parallel sides, qualifying it as a parallelogram
Answer:
true
Step-by-step explanation:
all rhombuses have opposite sides equal and parallel and opposite angles are congruent
i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation:
Please help me no links im timed 1 question HELP ME!!!
Answer:
c. add 5 to each side
Step-by-step explanation:
Answer:
c. add 5 to each side
Step-by-step explanation:
that's the fastest way to get y=20
There are 6 gallons in a tank that is 20% full. How many gallons are in a full tank? Use a double number line to show your work.
Answer: 30 gallons
Step-by-step explanation:
Let the number of gallons that are in a full tank be represented by x.
Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:
20% × x = 6
20/100 × x = 6
0.2 × x = 6
0.2x = 6
x = 6/0.2
x = 30
There are 30 gallons in a full tank
There are 9 cars in the parking lot. 2 cars are parked on the left and the other cars are
parked on the right. What fraction of the cars are parked on the right?
Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?
Answer:
Total percent of the room did she paint green = 60%
Step-by-step explanation:
Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.
To find - What percent of the room did she paint green ?
Proof -
Given that,
The surface area of the walls in her room = 720 ft²
Total area painted in yellow color = 288 ft²
So,
Total area painted in green color would be = 720 - 288 = 432 ft²
Now,
Let the total percent green color painted = x
So,
720 × x% = 432
⇒[tex]720*\frac{x}{100} = 432[/tex]
⇒ x = [tex]\frac{432*100}{720}[/tex] = 60
∴ we get
Total percent of the room did she paint green = 60%
DUE IN A BIT PLEASE HELP WILL MARK BRAINLIEST JUST PLEASE HELP!! :((
Answer: D
Step-by-step explanation:
Plz help ASAP I will mark u branliest
Answer:
5.k=3
7.p=4
Step-by-step explanation:
5.7=2k+1
7=2k+1 subtract 1 on both sides
6=2k divide by 2 on both sides
k=3
7. 11=4p-5
11=4p-5 add 5 to both sides
16=4p divide by 4 on both sides
p=4
Answer:
5: k=3
7: p=4
Step-by-step explanation:
5: sub 1 from each side divde by 2
7: add 5 to both sides divide each side into 4
NEED HELP ASAP PLS
polygon ABCD, shown in the figure is dilated by a scale factor of 8 with the origin as the center of dilation , resulting in the image of ABCD .
The slope of CD is ____?
Answer:
2/1 or 2overrun
Step-by-step explanation:
You can see that the rais/run for C to D is 2/1. So that would be the slope.
Help me please thanks
Will give brainliest!
Answer:
Step-by-step explanation:
multiply 0.83 by 0.06 = 0.0498
multiply 0.17 by 0.52 and add that to the first one
which gives you the prob of winning of 0.1382
Greg is four feet tall. how many inches tall is Greg?
Answer:
48 inches
Step-by-step explanation:
Answer:
it is the wrong answer
Step-by-step explanation: he is 5 feet and 10 inches
Can someone pls help I will give you the crown
Answer:
i think b
Step-by-step explanation:
solve for the variable, please show work.
correct answer = brainliest !!!!
3√(c) + 1 = 1
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *
Answer:
B
Step-by-step explanation:
(x-3)(x+6)
x²+6x-3x-18
x²+3x-18
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t.
After how many seconds does the ball return to the ground? Round to the hundredths place as needed.
1. Solve for the area of the figure below.
Solve for the area of the figure below Round answers to the nearest hundredth if needed
Answer:
39
Step-by-step explanation: