Instead of using the quotient rule, you can first expand y :
y = (4x - 1)^2 / x ^2 = (16x ^2 - 8x + 1) / x ^2 = 16 - 8/x + 1/x ^2
Then the derivative is
dy/dx = -8/x ^2 - 2/x ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
dy/dx = -8/(-1)^2 - 2/(-1)^3 = -6
1. Classify the number as rational or irrational.
32
Answer:
32 is rational number.
Step-by-step explanation:
Because it can be expressed as the quotient of two integers : 32/1
Match each radical expression on the left with an equivalent expression on the right. Help me please
hope it helps you ♡
see the attachment for further information
What’s the value of x?
Answer:
x = 4.5
Step-by-step explanation:
thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:
4/9 = 2/x
cross-multiply:
4x = 18
x = 4.5
Which quadrilateral makes this statement true? Quadrilateral ABCD ≅ _____  A.   B.   C.   D. 
15
A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the
figure.
3 in
The center of the circular region is the origin and the spinner's initial position is on the positive
x-axis. Rachel flicks the spinner, causing it to rotate 600°. What are the coordinates of the tip of
the spinner when it stops?
3
313
А
2
2
313
3
B
2
2
V3
с
1
2'
2.
V3
1
D
)
2
2
Answer:
Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )
Step-by-step explanation:
According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .Now We Are on ( -X axis ) & Completed 360*+180*=540* RotationNow After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)(For Diagram, Please Find in attachment)
Now In Triangle OAB
Cos60* = OA / OB1/2 = -X / 3 Thus X= -3/2
Sin60* = AB / OB[tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2
PLEASE HELP !! I'm desperate
Answer:
see below
Step-by-step explanation: 6 23 17 30
the length CD is the square root of the delta X value squared + the delta Y value squared
a² + b² = c² is the common form for this problem use
ΔX² + ΔY² = CD²
ΔX = X2 - X1 ΔY = Y2 - Y1
ΔX = 2 - (-2) ΔY = 5 - (-5)
ΔX = 4 ΔY = 10
4² + 10² = CD²
16 + 100 = CD²
116 = CD²
√116 = √CD² = CD
√(4 × 29) = CD
2√29 = CD the first option
expand and simplify
2(3x - 5) + 3(x + 3)
can someone do this ASAP pls with no links :)
Answer:
9x-7
Step-by-step explanation:
2(3x-5) = 6x - 10
3(x+3) = 3x + 3
= 9x-7
Answer:
Step-by-step explanation:
2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3
= 6x - 10 + 3x + 9
= 6x + 3x - 10 + 9 {Combine like terms}
= 9x - 1
What is the leading coefficient and the constant of 5x+2-3x^2
Answer:
The leading coefficient is -3
Step-by-step explanation:
If helps mark as brainllest please!!!
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-3
Step-by-step explanation:
Find the intersection of the lines y = x +1 and 3y + 2x = 13 without drawing the graph.
Answer:
The intersection point is (2, 3)
Step-by-step explanation:
The given (linear) equations for the point of intersection is required are;
y = x + 1...(1)
3·y + 2·x = 13...(2)
To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal
We find the values of 'x' and y-coordinates at the point of intersection as follows;
Making 'y' the subject of equation (2) gives;
y = (13 - 2·x)/3
When both lines intersect, the 'x' and y-values are the same;
y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;
y = y
x + 1 = (13 - 2·x)/3
3·(x + 1) = 13 - 2·x
3·x + 3 = 13 - 2·x
3·x + 2·x = 13 - 3
3·x + 2·x = 5·x = 13 - 3 = 10
∴ 5·x = 10
Therefore, at the point of intersection, x = 10/5 = 2
x = 2
'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;
y = x + 1
∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3
y = 3
Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;
The point of intersection = (2, 3).
Meagan bought 18 apples for $8.10. Whats the unit price?
Answer:
The unit price is .45
Step-by-step explanation:
You divide the price by the item
- 8.10÷18=.45
Can anyone help me out with this I would truly appreciate it
Answer:
8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6t - 20 - 32u
t = 6
u = 1/4
Step 2: Evaluate
Substitute in variables: 6(6) - 20 - 32(1/4)Multiply: 36 - 20 - 8Subtract: 8Answer:
8
Step-by-step explanation:
Given
6t - 20 - 32u ( substitute the given values into the expression )
= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )
= 36 - 20 - 8
= 16 - 8
= 8
The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
P O R N G I R L S O N L Y
xni-jwtm-twb
8. Which of the following statements
about the box plot is true?
HHH
0 2 4 6 8 10 12 14 16 18 20
♡ Minimum: 4
B Maximum: 16
© First quartile: 8
0 Third quartile: 16
1
IAS
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
secA = [tex]\frac{65}{63}[/tex]
Step-by-step explanation:
cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]
This is a right triangle with hypotenuse = 65, opposite = 16 and
adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63
Then
secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]
Which of the following does NOT give you congruent angles?
CPCTC
Midpoint
Alternate Interior Angles
Triangle Sum Theorem
Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
The gross annual salary of a teacher is $54 750, what's his gross monthly salary
Answer:
4562.50 per month
Step-by-step explanation:
To find the monthly salary, divide by the number of months ( which is 12)
54750/12
4562.50 per month
Pls pls pls pls pls help
I’ll give someone brainliest!!! Help!!!
Which of the following is the equation of a line perpendicular to the line y = - 1/3 * x + 1 passing through the point (2, 7) ?
A. 3x - y = 1
B. - 3x - y = 1
C. 3x - y = - 1
D. - 3x + y = - 1
Answer:
Option C is the correct one
Step-by-step explanation:
given equation of a line is y=-1/3x+1
comparing the given equation with y=mx+c
therefore,slope(m)=-1/3
then,
slope of line perpendicular to the line having slope -1/3 is (m2)=3
Equation of line having slope (m2)=3 and passing through point (2,7) is
y-y1=m2*(x-x1)
or,y-7=3(x-2)
or,y-7=3x-6
or,3x-y-6+7=0
or,3x-y+1=0
or,3x-y=-1 is the req.equation.
what is the final answer
Answer:
y=3x-2 (d)
Step-by-step explanation:
First, we need to look at the y-intercept, we can see that when x = 0, y= -2. So then our equation has to be y=mx+b, and b is -2. next we find our slope, we can see that we go up by 3, then over 1, so our slope is 3/1 or 3. so the final equation is y=3x-2.
Hope this helps!
:)
Answer:
D
Step-by-step explanation:
You can use desmos graphing cacluator for this
What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2
Answer:
The answer is [tex]3^3\times 2^2[/tex].
Step-by-step explanation:
According to the rules of exponents
a^n = a x a x a x .... n times
So,
[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]
g(x) = 3x -1. Find x such that g(x)= 20.
g(x)= 3x+1. Find x such that g(x)= 22.
g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0
Please solve this quickly. I need it right now. No silly answer will not be allowed.
Step-by-step explanation:
i. 3x-1=20
or, 3x= 21
x= 7
ii. 3x+1= 22
3x= 21
x= 7
iii. 2x-5=99
2x= 104
x=52
iv. g(3)= 3+5/2= 11/2
g(0)= 0+ 5/2=5/2
g(-3)= -3+5/2 = -1/2
x+5/2= 0
so, x= -5/2
Estimate the product of 8.82 x 9.41 by rounding each factor to the nearest whole number.
Answer: The estimated product is 81
8.82 and 9.41 are both 9 rounded to the nearest whole number
Therefore, 9*9=81.
What integer values satisfy both inequalities? -1 < x ≤ 2 -2 ≤ x < 3
Answer:
0,1and2 brainliest me plsss po
2x - y = 7 find the x and y intercept of each equation. graph the equation using its intercepts.
Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3
Answer:
raj
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Have a nice day
Determine the general rule (Tn)
PLEASE I HAVE BRAINLY PLUS AND IT NOT WORKING SEND HELLP
Step-by-step explanation:
the answer is in the above image
but I do not get the meaning of Dy
2. What is the probability of spinning an A on the first spinner and an odd number
on the second spinner? *
Answer:
1/10
Step-by-step explanation:
All spinners have equal areas & circumference on each outcome, so spinning an A is one out of five, or 1/5. The probability of spinning any number is 1/6. Since 1, 3, and 5 are all odd numbers, the probability of spinning an odd number is 3/6, or 1/2.
The probability of spinning both spinners successfully (an A AND an odd number) can be found by the product rule, which is the product of the two probabilities, namely 1/5 * 1/2 = 1/10.
Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•
Answer:
Step-by-step explanation:
Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:
[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get
4sin55 = 3.5sinx and solve for sinx:
[tex]sinx=\frac{4sin55}{3.5}[/tex] so
sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle
x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°
Answer:
It is 70
Step-by-step explanation:
Khan Academy