Answers
Answer:
5<y< infinity
Step-by-step explanation:
Related Questions
Find the average rate of change of the function on the interval specified for real number b.
f(x) = 8x^2 − 6 on [1, b]
[answer], b≠1
Answers
The average rate of change of the function f(x) = 8x² - 6 is given as 8h + 16x
What is average rate of Change?It quantifies how much the function changed per unit on average throughout that time span. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
What is the computation that justifies the above result?f(x) = 8x^2 - 6
Avge rate : [ f(x+h) - f(x)]/(x +h - x)
f(x+h) = 8(x+h)^2 - 6
f(x) = 8x^2 - 6
f(x+h) - f(x) = 8x^2 + 8h^2 + 16xh + 6 - 8x^2 -6 = 8h^2 + 16xh
Avg rate = ( 8h^2 + 16xh)/h
= 8h + 16x
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The average rate of change of the function over the interval is 8(b + 1)
How to determine the average rate of change of the function over the interval?The given parameters are
Function: f(x) = 8x^2 - 6
Interval: [1, b]
Calculate f(1) and f(b) using the function definition
So, we have
f(1) = 8(1)^2 - 6 = 2
f(b) = 8(b)^2 - 6 = 8b^2 - 6
The average rate of change of the function over the interval is then calculated as
Rate = [f(b) - f(1)]/[b - 1]
This gives
Rate = [8b^2 - 6 - 2]/[b - 1]
Evaluate
Rate = [8b^2 - 8]/[b - 1]
Factorize the numerator
Rate = [8(b + 1)(b - 1)]/[b - 1]
Divide through by b - 1
Rate = 8(b + 1)
Hence, the average rate of change of the function over the interval is 8(b + 1)
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is (-3, -4) and (5, -1) a negative slope
Answers
Answer:
Step-by-step explanation:
If you're asking to determine if the slope is positive or negative by plotting these points and drawing a line to connect them and deriving the slope from that,
No, the slope is positive.
Karen has bought 24 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last? How do you solve this? I forgot.
Answers
Answer:
Step-by-step explanation:
32 meals;
to solve, divide 24 by 0.75 (3/4) or you can do 24/1 times 4/3
The depth of a local river averages 25 ft, which is represented as |−25|. In January, it measured 5 ft deep, or |−5|, and in July, it was 27 ft, or |−27|. What is the difference between depths in January and July?
2 feet
12 feet
22 feet
32 feet
Answers
Based on the depth of the local river in January and the depth of the river in July, the difference between depths in January and July is 22 feet.
What is the difference in depth?The difference in the depth between July and January can be found as:
= Absolute value of depth in July - Absolute value of depth in January
Solving for the difference in depth gives:
= 27 - 5
= 22 feet
In conclusion, the difference in depths between January and July is 22 feet.
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write the equation in slope intercept form for the line with the given slope that contains the given point l.
slope =-3;(-1,6)
Answers
Answer: 3 = b (maybe, usually unsure)
Step-by-step explanation: bing
y = mx + b, this is the formula.
b = y-intercept
m = slope
1. We know that (-1,6) is our pair.
2. The formula when written with the info is y = -3x + b
3. We know that -1 is the x and the y is 6, so subbing the x and y in the formula, it is 6 = -3(-1) + b.
4. When multiplied, it becomes 6 = 3 + b
5. Then we combine like terms, by subtracting 3 into 6, making 3 = b
6. So, it is 3 = b
a salad dressing calls for 3 parts oil and 1 parts vinegar. manuela uses 2 tablespoons of vinegar and 6 tablespoon of oil to make her salad dressing
Answers
Find the measure of the indicated angle
Answers
Answer:
119
Step-by-step explanation:
41+78+119
Easy just remember this formula
You wants to make a scale drawing of her kitchen her kitchen is a rectangle with 6 M and 2 m wide she decides on a scale of 1 to 40 m draw a label of the dimension of the scale of Mia's Kitchen using a scale of 1 to 40
Answers
Her door should be 3 cm on scale .
A ratio is defined as a comparison of two quantities of equal units, showing how much of one quantity is in the other quantity.It is given that dimension of the kitchen table is 60m by 2 m .
Let the width of the door be " x".
We given Mal's Kitchen door is 1.2 m wide .
The ratio is given by
[tex]x:1.2[/tex] ......(1)
She decides on a scale of 1 to 40 which means 1 : 40 .....(2)
Equating equation (1) and (2) , we get
[tex]x:1.2=1:40[/tex]
Representing in fraction , we get
[tex]\frac{x}{1.2} =\frac{1}{40} \\\\x=\frac{1.2}{40} \\\\x=0.03m\\x=3cm[/tex]
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The complete question is mention below :
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?How wide should the door be on the scale drawing?
the pawn class represents the physical body, and the controller class represents the brain. choose one • 1 point true false
Answers
Actors that can be manipulated by humans or artificial intelligence (AI) all descend from the Pawn class. A player or AI entity's physical representation in the world is called a "Pawn." This means that the player's or AI entity's physical interactions with the outside environment, such as collisions and other physical interactions, are likewise controlled by the Pawn. This can be perplexing in some situations because some game types might not have an obvious player mesh or avatar. Regardless, the Pawn continues to reflect a player or other entity's actual position, rotation, etc. within the game. A unique class of Pawn that can move around is called a Character.
The default relationship between Controllers and Pawns is one to one, which means that each Controller can only have one Pawn under their control at any given moment. Additionally, a Controller does not necessarily hold a Pawn that spawns while a game is being played.
What do you mean by manipulated?When someone is manipulating you, they are likely mentally forcing you to do something you don't truly want to do, the expert claims. You may feel compelled to do it, afraid to do it, or guilty if you don't.
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A theater owner wants to provide enough seating for 786 people. The main floor has 24 rows of 20 seats in each row. If the balcony has 17 rows, how many seats must be in each row to satisfy the owner's seating requirements?
Answers
Answer:
18
Step-by-step explanation:
24 x 20 = 480 (amount of seats on main floor)
786 - 480 = 306 (amount of seats needed on balcony)
306 ÷ 17 = 18 (amount of seats on each row of balcony)
Step-by-step explanation:
The main floor has 24*20 = 480 seats.
So you need 786- 480 = 306 more seats
There are 17 rows in the balcony and let's say there are x seats in each row. Since you need 323 seats, this means
19x = 323
x = 306/17
x = 18
So there must be 18 seats in each row up in the balcony.
x = ?
f(x) = 3x - 7
f(x) = -1
Answers
Answer:
-21 If that is a option
Step-by-step explanation:
Answer: I hope this helps.
Step-by-step explanation:
Help! This is for geometry b project parabolas part 3
Answers
Answer:
[tex](x+3)^2=-4(y-3)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry
[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]
[tex]\textsf{Vertex}=(h, k)[/tex]
[tex]\textsf{Focus}=(h,k+p)[/tex]
[tex]\textsf{Directrix}:y=(k-p)[/tex]
[tex]\textsf{Axis of symmetry}:x=h[/tex]
If p > 0, the parabola opens upwards.
If p < 0, the parabola opens downwards.
From inspection of the given graph:
Vertex = (-3, 3)Focus = (-3, 2)Directrix: y = 4Axis of symmetry: x = -3Therefore:
h = -3k = 3k + p = 2 ⇒ 3 + p = 2 ⇒ p = -1k - p = 4 ⇒ 3 - p = 4 ⇒ p = -1Substitute the found values of h, k and p into the formula:
[tex]\implies (x-(-3))^2=4(-1)(y-3)[/tex]
[tex]\implies (x+3)^2=-4(y-3)[/tex]
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If the tallest person who ever lived was approximately 9 feet tall, write an inequality that represents the heights of every other person who ever lived.
Use x for your variable
Answers
The inequality that represents the heights of every other person who ever lived is, 9 ≥ x
We have to find the inequality that represents the heights of every other person who ever lived, where the tallest person who ever lived was approximately 9 feet tall, according to the question.
Here x denotes the height of every person who ever lived,
So, the inequality is, 9 ≥ x
Every person ever lived, must be equal to or lesser than 9 feet.
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pls help how do u solve for x
Answers
so this is complicated
1)
y = 180°-(21°+34°)
y = 180°-55°
y = 125°
x = 180°-125°
x = 55°
what is 1 - 3 + 8? please help
Answers
Answer:
6
Step-by-step explanation:
1-3=-2
-2+8=6
in this problem you will explain using simplre plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates
Answers
A parallelogram has an area of 20 units².
Solution:
A = bhTo find b = base, use the distance formula; to find h = height, use the perpendicular distance from a line to a point formula.Explanation:
The coordinates of a parallelogram are given. Locate the area.A = bhIt's easiest to demonstrate by doing an example.(0,0), (5,3), (5,7), etc (0,4). The base is represented by the points (0,0), and (5,3). The point (0,4) = (m,n) top leftUsing the distance formula, calculate the length of the base b:
[tex]\begin{aligned}&\mathrm{d}=\sqrt{\left(\mathrm{y}_2-\mathrm{y}_1\right)^2+\left(\mathrm{x}_2-\mathrm{x}_1\right)^2} \\&\mathrm{~b}=\sqrt{(3-0)^2+(5-0)^2}=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Using the perpendicular distance from a line to a point formula, calculate the height h:
[tex]\mathrm{d}=\frac{|\mathrm{Am}+\mathrm{Bn}+\mathrm{C}|}{\sqrt{\mathrm{A}^2+\mathrm{B}^2}}[/tex] where (m,n) is the left-top point from which we will drop a perpendicular to the base b line.The baseline must have the following formula: Ax + By + C = 0.Determine the baseline:
Slope = m = [tex]\frac{3-0}{5-0}=\frac{3}{5}[/tex]Line: [tex]y-y_1=m\left(x-x_1\right) ; y-3=\frac{3}{5}(x-3)[/tex]Distribute: [tex]y-3=\frac{3}{5} x+\frac{3}{5} \cdot-\frac{5}{1} ; y-3=\frac{3}{5} x-3[/tex]Baseline: [tex]y=\frac{3}{5} x[/tex]In Ax + By + C = 0 form, the bottom line is:
[tex]\begin{aligned}&\frac{3}{5} \mathrm{x}-\mathrm{y}=0 ; 5\left(\frac{3}{5} \mathrm{x}-\mathrm{y}=0\right)=3 \mathrm{x}-5 \mathrm{y}=0\\&\mathrm{A}=3 ; \mathrm{B}=-5 ; \mathrm{C}=\mathrm{O}\\&h=\frac{|3 \cdot 0+(-5) \cdot 4+0|}{\sqrt{3^2+(-5)}}=\frac{|-20|}{\sqrt{9+25}}\\&\mathrm{h}=\frac{20}{\sqrt{34}}\\&\mathrm{A}=\mathrm{bh}=\sqrt{34} \cdot \frac{20}{\sqrt{34}}=20 \text { units }^2\end{aligned}[/tex]
Therefore, a parallelogram has an area of 20 units².
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The complete question is given below:
In this problem, you will explain using simple plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates.
the concentration of the pollutant that pours into a lake is a function of time and initially increases quite rapidly, but due to the natural mixing and self-cleansing action of the lake, the concentration levels off and stabilizes at some saturation level. a train travels at a constant speed and its distance from the point of origin is a function of time. the population of a city, which is a function of time, starts increasing rather slowly, but continues to grow at a faster and faster rate.
Answers
The concentration of a contaminant that enters a lake is a function of time and initially rises rather quickly. However, it is due to the lake's inherent mixing and self-cleansing activity.
What is concentration?Concentration in chemistry is calculated by dividing a constituent's abundance by the total volume of a mixture. The terms "concentration" can refer to any type of chemical mixture, but are most frequently used to describe the solutes and solvents in solutions. There are four different types of concentrations that can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration. There are different types of molar (quantity) concentrations, including normal concentration and osmotic concentration.
Concentration is frequently expressed qualitatively in everyday, non-technical language using words like "dilute" for solutions with a low concentration and "concentrated" for solutions with a high concentration.
If y increases quickly with x, the slope of the graph will be greater (i.e. will be steeper). The slope of the graph will be lower if y increases slowly with x. (i.e. will be less steeper). Straight lines result from constant slope in graphs. 1. Less investment results in a significant boost in production at first. Consequently, graph
1) Begins with a steeper slope. The rate of expansion slows down at the end, therefore the graph
2) will be more gradual. So, D is the proper graph. 2. The slope of the graph increases while train speed stays constant. As a result, graph will be
3) Straight line So, C is the proper graph. The focus rises quickly at first. Small time therefore yields large
4) an improvement in concentration Therefore, graph will be steeper in beginning. At end, the concentration becomes constant, so graph will be almost horizontal at end.
5)Thus correct graph is B. In beginning, the population increases slowly. Thus large time gives less increase in population. Therefore, graph will be less steep in beginning. At end, the population increases rapidly, so graph will be more and more steeper at end. Thus correct graph is A.
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pls help me out with this
Answers
Answer:
Question 7: 20° and 160°, Question 8: 10° and 80°
Step-by-step explanation:
Complementary angles add to 90° and supplementary angles add to 180°.
2. The number 67 0X1 is equal to 67 100, correct to 3 significant figures. Find the value of X if 67 0X1 is a perfect square.
Answers
The value of x will be 8 for the number 67081 which is a perfect square.
In the given situation, it is stated that a number 670X1 is equal to 67100, correct to three significant digits. This tells us that the second digit should be greater than 5.
So, we get x ≥ 5.
By keeping all values of x ≥ 5 in 670X1, we get these numbers.
67051 , 67061, 67071, 67081, 67091
We need to find out which of the following numbers is a perfect square.
Taking √67081, we get a perfect square.
√67081 = 259.
So, 67081 is a perfect square of 259.
Hence, the value of X will be 8 for the number 670X1.
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Find the measures of the angles of following triangle.
The ratio of the measures of the three angles is 3: 6: 1 .
Answers
Answer:
54º, 108º and 18º respectively
Step-by-step explanation:
Dirk brought b breadsticks to a potluck. The breadsticks are packaged in bags of 4. Write an
expression that shows how many packages of breadsticks Dirk bought.
Answers
The linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Dirk who brought [b] breadsticks to a potluck. The breadsticks are packaged in bags of 4.
Assume that he bought [x] bags of breadsticks. Then, we can write the linear equation that shows how many packages of breadsticks Dirk bought as -
x = (1/4)b
Therefore, the linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.
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Tom drives 8 1/2 miles every 1/30 hour. How many miles can he drive in 3 hours?
Answers
Tom drives 243 miles in 3 hours.
What is speed?
The rate at which an object's position changes in any direction.Speed is defined as the ratio of distance traveled to time spent traveling.Because it has only one direction and no magnitude, speed is a scalar quantity.So, to find how many miles Tom can drive in 3 hours:
Tom drives 81/2 miles every 1/30 hour.
81/2 miles = 40.5 miles
1/30 hours = 30 minutes
So, in 30 minutes Tom drives 40.5 miles.
Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.
Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.
Therefore, Tom drives 243 miles in 3 hours.
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Please help me please help me
Answers
Answer: 5,2 2,3 2,2
Step-by-step explanation:
400,000 = 4×106
True or false
Answers
Answer: False
Step-by-step explanation:
4 x 10^6 = 4000,000
400,000 is 4 x 10^5
Answer:
False
Step-by-step explanation:
10^6=1,000,000 ==> 10^6 has 6 zeros after the '1', making 10^6=1 million.
4*10^6=4,000,000, not 400,000
The Econo Motel charges $260 for 4 nights . At this rate , how much would 7 nights cost?
Answers
Answer: $455
Step-by-step explanation:
I would think you would divide 260 by 4 and that would get you 65 and then multiply 65*7 and that would be $455
How many groups of 3/4 are in 6 1/2
Please elaborate(I'm very lost
Answers
Answer:
4 7/8
Step-by-step explanation:
First lets make 6 1/2 an improper fraction
Multiply the denominator by the whole number and add the result to the numerator to get the improper fraction
6 1/2
13/2
Multiply the numerators by eachother, same with the denominators
3* 13
---------
4*2
39/8
Finally, simplify by dividing 39 by 8
4 7/8
Number of groups of 3/4 are in 6 1/2 is, 26/3
We have to given that,
To find number of groups of 3/4 are in 6 1/2.
Let us assume that,
Number of groups of 3/4 are in 6 1/2 = x
Hence, We get;
x = (6 1/2) ÷ (3/4)
x = (13/2) × (4/3)
x = (13 × 4) / (2 × 3)
x = (13 × 2) / 3
x = 26/3
Therefore, There are 26/3 groups of 3/4 are in 6 1/2.
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Find the solutions to the equation below.
Check all that apply.
6x² +5x-4 = 0
A. X = 1/2
B. x=-1/3
C. x= 1/3
D. x = -2
E. x = 4
F. x= -4/3
Answers
Answer: x=1/2, x=-4/3 ==> A and F
Step-by-step explanation:
6x² +5x-4 = 0
6x²-3x+8x-4 = 0
3x(2x-1)+4(2x-1) = 0
(3x+4)(2x-1)=0
3x+4=0
3x=-4
x=-4/3
2x-1=0
2x=1
x=1/2
x=1/2, x=-4/3 ==> A and F
ZA and ZB are
supplementary angles. If mA = (x + 4)° and m
LB = (2x - 7)°, then find the measure of ZA.
Answers
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
i need answers to 7(c+d)=14 asap! pleasee
Answers
Based on the explanation below, the solution for c from the equation in the question is 2 - d.
How do we solve an equation?Before answering the question, the correct complete question is provided as follows:
Solve for c from the equation 7(c+d)=14.
We can now solve for c from the equation in the question as follows:
7(c+d)=14
c + d = 14 / 7
c + d = 2
c = 2 - d
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Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $81.38 b. $80.01 c. $11,829.97 d. $11,776.00 please select the best answer from the choices provided a b c d
Answers
Step-by-step explanation:
We know that,
[tex] ➟\sf \: fv \: of \: annuity \: = p( \frac{(1 + r) {}^{n} - 1}{r} )[/tex]
where,
FV of annuity = $35,450
P = monthly payment,
r = rate of interest = 5.5% annually = [tex] \frac{5.5}{12}%[/tex]
n = number period = 20 years = 240 months
Putting all the values,
[tex] \sf35450 = p( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )[/tex]
[tex] \sf \: p = \frac{35450}{( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )}[/tex]
[tex] \sf \: p \: = \: \$81.36[/tex]
Therefore, they should deposit $81.38 monthly.