Answer:
See below
Step-by-step explanation:
Obviously, as h ==> 0 it becomes very small
I would pick a very small number for h ..... say -.001
then the equation becomes
[ f (-1.001) - f(-1) ] / (-.001) where f(x) = x^5
= [ (-1.001)^5 - (-1)^5 ] / ( -.001) For the point that has x = -1
= 5.01 <==== approximation for the slope at x = - 1
Now we need line with slope = 5.01 and point (-1,-1)
Using point slope form :
y - -1 = 5.01 (x - -1) re-arrange to:
y = 5.01x - 4.01 <==equation of line with slope = 5.01 and tangent at (-1,-1)
Here is a graph: (and it looks like a good approximation !)
Solve these word problems:
Answer:
45 cats prefer fish
Step-by-step explanation:
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)
Answer:
C
Step-by-step explanation:
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
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What is 25% of 60? I need this answer right away
Answer:
15
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
60÷25=2.4
A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions.
a. How much salt is in the tank after t minutes?
b. How much salt is in the tank after 4 hours?
Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
what was the main difference between the French and British armies in the French and Indian War
What does decreased mean in math?
Answer:
becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.
Step-by-step explanation:
BRAINLIST PLEASE!
Meaning of decreased in math is, get smaller in size, number or quantity.
We have to given that,
To defined decreased mean in math.
We know that,
We use minus sign to denote subtract, decreased by, take away, etc.
For example, Minus sign also means how much is one value more than the other value.
Hence, Meaning of decreased in math is, get smaller in size, number or quantity.
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Please help!!! (Look at picture)
Answer:
20,000 17000 17200.
Step-by-step explanation:
That's your answer.
A girl is 6 years younger than her brother. The
product of their ages is 135. Find their ages.
=============================================================
Work Shown:
x = brother's age, which is some positive whole number
x-6 = sister's age, since she is 6 years younger than her brother
The product is the result of multiplication, so we multiply x and (x-6) to get 135
x*(x-6) = 135
x^2-6x = 135
x^2-6x-135 = 0
Use the quadratic formula to solve from here
We plug in a = 1, b = -6, c = -135
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]
x represents the brother's age, in years. So x must be positive.
Since x must be positive, this means we rule out x = -9
The value x = 15 is the only practical solution.
If x = 15, then x-6 = 15-6 = 9
The brother is 15 years old and the sister is 9 years old.
The product of their ages is 15*9 = 135, which confirms the answers.
use ⧍ABC and assume B = 90°.
2. Findcgiven m∠A=57° and a=22
Answer:
1
Step-by-step explanation:
Answer: c = 14.287 approximately
==========================================================
Work Shown:
Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.
tan(angle) = opposite/adjacent
tan(A) = a/c
tan(57) = 22/c
c*tan(57) = 22
c = 22/tan(57)
c = 14.2869670503452
c = 14.287
This value is approximate. Make sure your calculator is in degree mode
Nick, Sarah and Gavyn share some sweets in the ratio 2:3:3. Nick gets 28 sweets. How many did Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
28 / 2 = 14 x 3 = 42
Hope that helps!
What is the product of the rational expressions shown below ? Make sure your answer is in reduced form. Photo included . Multiple choice .
Answer:
( 1/x-5)*8x
(1*8x)/(x-5)
8x/x-5
Subtract Write your answer in simplest form. 11/12 - 3/6
Answer:
5/12 cannot simplify more further
Step-by-step explanation:
11/12 - 6/12 = 5/12
Answer:
5/12
Step-by-step explanation:
hope this helps have a nice day
A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t=h−−√4 to find how many seconds it takes for the hammer to reach the river. Round your answer to the nearest tenth of a second.
Answer:
15.8
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find
t=4000−−−−√4=15.8
So, the hammer reaches the river after 15.8 seconds.
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
What number is between 5/2 and the other number In the photo.
the sum of 2 integers are -396, if one is 64, find the other
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary:
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Find the slope of tangent line at (1,-1.5)
Answer:
The slope of the tangent m = -0.0833
Step-by-step explanation:
Step(i):-
Given that the curve
x y - 2y² + x² = -5 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]
[tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]
[tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]
[tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]
Step(ii):-
The slope of the tangent
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]
m = [tex]\frac{-2+1.5}{1+6}[/tex]
[tex]m = \frac{-0.5}{6} = -0.083[/tex]
The slope of the tangent m = -0.0833
Which statement is an example of the symmetric property of congruence?
A. If AKLM = APQR, then APQR = AKLM.
B. If AKLM = APQR, then APQR - ASTU.
X Х
C. If AKLM = APQR, and APQR - ASTU, then AKLM - ASTU.
D. AKLM = AKLM
Answer:
D.AKLM = AKLM
Step-by-step explanation:
because D.AKLM = AKLM is an example of the symmetric property of congruence
The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔKLM
Let the second triangle be represented as ΔPQR
Now , the measure of sides and angles be congruent
So , ΔKLM ≅ ΔPQR
From the symmetric property of congruence ,
If the first figure is congruent to second figure , the second figure is congruent to first figure
ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles
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Find the value of x if you solve one please say the question number and you dony have to show work
Answer:
question 1-- x=15
question 2-- x=21
Solve the quadratic equation
X^2+3x-70=0
Answer:
X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)
Step-by-step explanation:
Please mark as brainliest
help me PLZ LUV YOU ALL
Answer:
1) AB = 10cm
2) 70 degrees
3) 12m
4) 10m
5) 32 degrees
6) 9 + 9 = 18m
Solve 5x ≥ 25. Graph the solution.
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit
Find the 12th term of the geometric sequence -2,4,-8..
Answer:
-16394
Step-by-step explanation:
Pattern rule : Start at -2 and multiply it by -2.
-2 x -2 = 4
4 x -2 = -8
-8 x -2 = 16
16 x -2 = -32
- 32 x -2 = 64...so on
How many points are needed to determine a straight line?
A. only one point
B. at least two points
C. at least three points
D. more than three points
Answer:
b
Step-by-step explanation:I hope this helps
Let S be the set of all integers that are multiples of 6 and let T be the set of all even numbers
Answer:
S = ( 6, 12, 18, 24, 30, 36......)
T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)
Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8
Find the value of x for which L parallel m (3x-33) (2x+26)
Answer:
59
Step-by-step explanation:
Find the diagram attached
From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal
3x - 33 = 2x+26
3x-2x = 26 + 33
x = 59
Hence the value of x is 59
please help it’s due!!!
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33