Answer:
(0,7)
Step-by-step explanation:
Calculate the average rate of change of f (x) = 3x2 + 2x + 5 on the interval (0, 2).
A. -1
B. 8
C. 38
D. 128
The average rate of change of a continuous function f(x) in an interval (a, b) is
(f(b) - f(a)) / (b - a)
So for
f(x) = 3x ² + 2x + 5
on the interval (0, 2), we have
• f (2) = 3 • 2² + 2 • 2 + 5 = 21
• f (0) = = 3 • 0² + 2 • 0 + 5 = 5
so that the average rate of change is
(f (2) - f (0)) / (2 - 0) = (21 - 5) / 2 = 16 / 2 = 8
and the answer is B.
What type of triangle has an exterior angle that is obtuse at to vertices?
30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?
Answer: C.
[tex]\frac{9}{\sqrt{x} -\sqrt{x-3} }=\frac{9(\sqrt{x} +\sqrt{x-3} )}{x-(x-3)}=\frac{9(\sqrt{x} +\sqrt{x-3} )}{3}=3(\sqrt{x} +\sqrt{x-3})[/tex]
Step-by-step explanation:
The given fraction is equivalent to [tex]3(\sqrt{x}+\sqrt{x-3})[/tex]. Then the correct answer is option C.
What is rationalization?The elimination of radicals from an algebraic fraction's denominator is known as root rationalization in elementary algebra.
Rationalizing the given expression to get the solution.
[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9}{\sqrt{x}-\sqrt{x-3}}\times \dfrac{\sqrt{x}+\sqrt{x-3}}{\sqrt{x}+\sqrt{x-3}}[/tex]
[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{(\sqrt{x})^2-(\sqrt{x-3})^2}[/tex]
[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{({x})-({x-3})}[/tex]
[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{3}={3(\sqrt{x}-\sqrt{x-3}[/tex]
Hence, the correct answer is option C.
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450 centimeters is equal to how many meters?
Answer: 4.5 meters
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation: 1 cm=0.01 meters
Lisa and Alma raced up and down the stairs many times.
Here is the table showing the results.
Which trip was the lowest for Lisa?
A.4
C.-8
B.-8
C.-2
Answer:
A
Step-by-step explanation:
A
f(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
g(x) -f(x)
please explain i dont understand.
Answer:
[tex] {5x}^{2} + 6x = - 8[/tex]
Step-by-step explanation:
This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.
[tex] { - 12x}^{2} - 15x + 7 - ({ - 7)x}^{2} + 9x - 15[/tex]
Now we can solve for the equation.
[tex] { - 5x}^{2} - 6x - 8 = 0 \\ {5x}^{2} + 6x = - 8[/tex]
1.
ALGEBRAICALLY solve each system of equations below. Show all of your work!
a. 7x - y = 98
3x-5y=10
b. x + 3y = 4
x = 6 - 27
Answer:
a. y = 7x-98
y =-3/5x-2
b. y =-1/3x+4/3
x =-21
Step-by-step explanation:
a. 7x - y = 98
98 - 7x
-y = -7x + 98
divide by -
y = 7x - 98
3x - 5y = 10
10 - 3x
-5y = -3x + 10
divide by -5
y = -3/5x - 2
b. x + 3y = 4
4 - x
3y = -1x + 4
divide by 3
y = -1/3x + 4/3
x = 6- 27
x = -21
2/3 = 12/x
O x=18
O x = 12
O x=36
O x=8
What is the constant of variation in the equation y=3/4x?
Answer:the answer is 34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Combine 34 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 34
convert 0.16 liters to milliliters
0.16 liters in terms of mililiters is equal to 160 ml
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 0.16 liters
Now we know 1 liter= 1000 ml
Thus 0.16 liter would be equal to 0.16×1000=160 ml
Hence, 0.16 liters in terms of mililiters is equal to 160 ml
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What is the estimated sum of 10 1/15 + 2 3/37?
I REALLY NEED THIS ANSWERED!
I will give brainliest if you would like! :)
I did not understand so I wanted to see if I could get help
What is the slope of the line that passes through the given points?
(2,9) and (1,6)
Answer:
M = 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
it rose 3 and ran 1
3/1=3
Helpsies pleasies hbjhbjubuguihhkuh
Nicole, Justin, and Shen have a total of $85 in their wallets. Shen has 2 times what Justin has. Nicole has $9 more than Justin. How much does each have?
Answer:Nicole has $94, shen has $170 and justuin has $85
Step-by-step explanation:
85+9=94 85 times 2= 170
Answer:
Step-by-step explanation:
Justin has 19
Nicole has 28
Shen has 38
guys pls helpppppp me I need help
Answer:what grade is this?
Step-by-step explanation:
How did billy go from five to ten apples
Answer:
5 apple magically appeared in his hands CLONED APPEARED BOUGHT FLEW INTO HIS HANDS.
Step-by-step explanation:
6 of 6
© Caroline, Colin & Sarah share some money.
Caroline gets of the money
Colin and Sarah share the rest in the ratio 3:1.
What proportion does Sarah get?
7
8
9
q
W
e
r
t
у
u
í
0
4
5
6
a
S
d
f
g
h
Answer:
1
Step-by-step explanation:
The proportion of the money that Sarah gets is 2/3 of the total amount
How to determine Sarah's proportion?From the complete question, the fraction of the money is:
Caroline = 1/9
The remaining amount is calculated using:
Remaining = 1 - 1/9
Evaluate
Remaining = 8/9
Colin and Sarah's share is:
Colin : Sarah = 1 : 3
This means that Sarah's share is:
Sarah = 3/(3 + 1) * 8/9
This gives
Sarah = 3/4 * 8/9
Evaluate
Sarah = 2/3
Hence, the proportion gotten by Sarah is 2/3
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N is the set of integers that are greater than - 3 and less than 2.
Find the measure of the missing angle.
34°
Solve the system of equations step by step also you can use any method to solve this I just need help
X+2y=2 and -x+y=-5
Answer:
Solution :
{x,y} = {2/3,2/3}
Step-by-step explanation:
Solve equation [2] for the variable x
[2] 9x = 6
[2] x = 2/3
// Plug this in for variable x in equation [1]
[1] (2/3) + 2y = 2
[1] 2y = 4/3
[1] 6y = 4
// Solve equation [1] for the variable y
[1] 6y = 4
[1] y = 2/3
// By now we know this much :
x = 2/3
y = 2/3
(I dunno if this is what you meant or not..)
Answer: x = 4
y = -1
Step-by-step explanation:
Elimination Method:
In an elimination problem, both equations are aranged in the form of an arithmetic problem. One equation must have an offset of either the x or y of the other equation, so as to eliminate the variable for you to solve for the other one. If a variable doesn't have a negative counterpart, multiply the equation by a number so they can offset each other.
Given:
x + 2y = 2
-x + y = -5
Step 1: Solve for x
To solve for x, we need to eliminate the y by creating an equation where the y can eliminate the other equations y.
-2(-x + y = 5) = 2x - 2y = 10
Now that the y's can cancel each other out, we can combine the equations and solve for x.
x + 2y = 2
2x - 2y = 10
3x = 12
x = 12/3
x = 4
This is the value of x
Step 2: Solve for y
The x's can already cancel each other out, so you can just combine the equations and solve for y.
x + 2y = 2
-x + y = -5
3y = -3
y = -1
This is the value of y
Step 3: Verify
To make sure there weren't any mistakes, you need to check by replacing x and y with they're values. x is 4 and y is -1
Substitute: (4) + 2(-1) = 2
Solve: 4 - 2 = 2
Substitute: -(4) + (-1) = -5
Solve: -4 - 1 = -5
The answers are x = 4 and y = -1
the equation of th a line given by y = mx + b is also called
Answer:
slope intercept form
Step-by-step explanation:
Slope intercept form
Subtract 1.5×10⁷ from 2.7×10⁹
A) 2.685×10⁷
B) 1.473×10⁹
C) 1.473×10⁷
D)2.685×10⁹
Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.
Answer:
The width of the rectangle is 7 units
Step-by-step explanation:
Here, we want to find the width of the rectangle
Mathematically, the area of the triangle is length * width
(2x + 1)(2x-1) = 35
4x^2 - 1 = 35
4x^2 = 36
x^2 = 9
x = 3
Substituting 3 in 2x + 1
we have 2(3) + 1 = 6 + 1 = 7 units
Which of the following lists the lower quartile, median, and upper quartile (in that order)?
OA.
92, 78, 67
OB.
55, 78, 100
Ос.
67, 78, 92
OD
67, 78, 100
Answer:
67, 78, 92
Step-by-step explanation:
A-alternate interior angles
B-same side interior angles
C-corresponding angles
D-alternate exterior angles
Answer:
alternate interior angles
Step-by-step explanation:
They are on opposite sides of the line and they are equal to each other
The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3 x + 1.
True or False?
9514 1404 393
Answer:
false
Step-by-step explanation:
Try the second point:
5 = 3(2) +1 . . . . false
(04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2x + 10
Answer:
1 over 2x+6y=2x+7y=
Step-by-step explanation:
Answer:
1 over 2x+6y=2x+7y=
Step-by-step explanation:
1 over 2x+6y=2x+7y=
WILL GIVE BRAINLIEST PLEASE ANSWER
Answer:
7 Units
Step-by-step explanation:
Question 2 50 pts A custodian plans to repaint some classroom bookcases. She has 5 1 4 gallons of paint. All of the bookcases are the same size and each requires 3 4 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
sorry I wish I could help but I'm stupid
