Based on the graph, which of the following guarantees that an estimate using tangent line approximation will result in an overestimate? point of tangency near x = -2 point of tangency near x = 0 point of tangency near x = 2 point of tangency near x = 4
Answers
The value of x at which the tangent line approximation will result in an overestimate is given by:
Point of tangency near x = 0.
When does the tangent line approximation results in an underestimate and when does it results in an overestimate?The possible results for the tangent line approximation are given as follows:
Underestimate: tangent line is below the curve.Overestimate: tangent line is above the curve.The underestimate or underestimate depend on the second derivative of the function, as follows:
Second derivative positive: underestimate.Second derivative negative: overestimate.Hence, regarding the concavity, we have that the definitions are listed as follows:
Concave down: overestimate.Concave up: underestimate.On the graph given by the image at the end of the answer, the concave down point is given as follows:
x = 0.
Hence the correct option is:
Point of tangency near x = 0.
Missing InformationThe graph is given by the image at the end of the answer.
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Related Questions
1. Is the game fair? We are flipping a coin twice. The first player wins if we get 2 tails, and the second player wins if we get 1 head and 1 tail. 2. Is the game fair? we are tossing two dice and the first player wins if the sum on the dice is 9 and the second player wins if the sum on the dice is 5.
Answers
Step-by-step explanation:
1) In the case of the coin, we will assume that it is a fair coin and there is an equal probability that the coin will land either heads or tails on each flip. In other words, we are assuming that flipping the coin is a completely random process.
When flipping a coin twice, there are 4 distinct possibilities, where H means the coin lands head side up and T means it lands tails side up. The first letter represents the first flip of the coin and the second represents the second flip. The possible outcomes are:
HH, HT, TH, TT
As you can see, there is only 1 possible outcome where the coin will land tails up twice, while there are 2 possible outcomes where the coin will land heads up once and tails up once. Since the game doesn't specify the order in which the coin needs to land on either side for player 2 to win, both of these possibilities are fair game.
Now, according to our earlier assumption that the process of flipping the coin is truly random, we can say that there is a 50/50, chance of the coin landing on either side before we flip it. There is also a 100% chance that, in 2 flips, the coin behaves according to one of the possibilities stated above. This means that each possibility has an equal 25% chance of happening. We determined there are 2 possible outcomes where the coin lands on both a head and a tail, opposed to the 1 possible outcome where the coin lands tails up on both flips. Adding the probabilities, this means that the second player has a 50% chance of winning the game while the first player only has a 25% chance of winning the game, and thus - it is not fair.
2) In the second game, we will also assume that the process of rolling the dice is completely random and there is an equal chance that it lands on each side. The possible outcomes for both dice combining to sum to 5 are:
1,4; 4,1; 2,3 and 3;2
and the possible outcomes for both dice combining to sum to 9 are:
4,5; 5,4; 2,6 and 6,2
Assuming the dice are normal, 6-sided dice, there is a 1/6 or a 16.67% chance of the dice landing on each side. The outcomes on these rolls are dependent on one another and represent compound probabilities. in other words, the probability of rolling a 2 on a single dice is 16.67%, and the probability of rolling a 6 on a single dice is also 16.67%, but the probability of rolling a 2 on one dice and (key word here being and) a 6 on the other dice is the product of the two individual probabilities;
1/6 * 1/6 = 1/36 (2.78%)
This means that it is less likely to roll the correct combination than it is to roll each of the numbers individually, which should intuitively make sense.
However, because there are an equal number of outcomes in which each player wins, this game is fair to both players. It is no more likely that the sum of the dice will be 9 than it is that it will be 9, even though both of these outcomes have relatively low probabilities. In most rolls, neither player will win - but the game is still fair to both players.
what is 3/4x(5/6-4/23)=43
Answers
Answer: 86 86/91 or 7912/91
Work: So you multiply 3/4x by what is in the parenthesis like this: 3/4x*5/6-3/4x*4/23. and you get 5/8x-3/23x=43. And then you simplify to get 91/184x=43 then u multiply both sides by 184 to get rid of the fraction. and you get 91x=7912. then you divide both sides by 91 and you get x=7912/91 or 86 86/91
What is the end behavior of the function f(x) = -5x³ + 2x² - 4x+6?
O down to the left, up to the right
O up to the left, down to the right
O up to the left, up to the right
Odown to the left, down to the right
Answers
Answer:
O up to the left, down to the right
Step-by-step explanation:
The function in your question will do the same thing that
f(x) = -x³ does.
Actually, even simpler, it will have the same end behavior as
f(x) = -x
which is just a line with negative slope, going down from left to right. The way end behavior is described: up to the left and down to the right.
In fact, all the functions with odd power as the biggest exponent will have the same end behavior.
(If the highest exponent is even, it acts like a parabola up+up or down+down.)
What is the slope of the line?
Write the slope as a fraction.
Answers
Answer: the slope is 1/4
Step-by-step explanation:
(2,0.5) (4,1)
Use the formula for finding the slope:
[tex]\boxed {The\ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]x_1=2\ \ \ \ x_2=4\ \ \ \ y_1=0.5\ \ \ \ y_2=1\\[/tex]
Hence,
[tex]\displaystyle\\The\ slope=\frac{1-0.5}{4-2}\\\\The\ slope=\frac{0.5}{2}\\\\The\ slope=0.25\\\\The\ slope=\frac{1}{4}[/tex]
A pool's diving platform is 10 m above the water's surface. The
bottom of the pool is at -5 m, relative to the surface of the
water. What is the distance between the diving platform and
the bottom of the pool?
Answers
If shown,
AB
and
CD
are straight lines. Find x in each case.
WILL MARK BRAINLISIT
Answers
Answer:
4x+x+x+90=360
6x+90=360
6x=270
x=45
good luck!
4x+x+x+90=360
6x+90=360
6x=270
x=45
Eve play baketball. She make 4 free throw for every 3 free throw that he mie. If he mied 27 free throw at her lat practice, how many free throw did he make?
Answers
Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.
Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.
There are several ways to score 3 of the 4 free throws.
Miss Hit Hit Hit
Hit Miss Hit Hit
Hit Hit Hit Hit Hit
So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.
So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875
Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.
So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875
Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.
Hence, Eve had to make 42 free throws for getting 27 throws are mied.
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The owner of a bookstore buys used books from customers for $1. 50 each. The owner then resells the used books for 400% of the amount he paid for them. What is the price of a used book in this bookstore?.
Answers
Answer:
$7.50
Step-by-step explanation:
Write the correct function and online represented in the table below
HELP ASAP
Answers
Answer:
y = 5x -2
Step-by-step explanation:
The 5 is the slope. It is the change in y over the change in x. As the x changes by 1, the y changes by 5.
The -2 is the y intercept. This is at the point (0,-2) The -2 is the y intercept.
need help, please and thank you
Answers
The length of the chord of the circle CD is 3.2.
What is a chord of the circle?A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension.
Given that the vertical length from the centre to the chord is 2.1 and the length up to the circle is 1.7.
Radius = 1.7 +2.4 = 4.1.
The chord length will be calculated as,
CD = √(4.1² - 2.4²)
CD = √(16.81 - 5.76)
CD = 3.2
Therefore, the length of the chord of the circle CD is 3.2.
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PLEASE HELP ME
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answers
Answer:
The correct answer is C. -29.
Step-by-step explanation:
insert -29 for x,
subtract -7 from -29,
then multiply by 2 to get your answer.
hi i was wondering if somebody can help me with this question. Given the inequality 4x ≤ 28, determine the value of x.
S:{7}
S:{9}
S:{12}
S:{38}
Answers
Answer:
Step-by-step explanation:
OK:
1. Isolate the x on the left side of inequality. Always remember if a number or variable crosses inequality, it becomes opposite!
4x ≤28
x ≤28/4
x ≤7
2. Double Check!
4*7 ≤28
28 ≤28 TRUE
x=7(s) or Choice A
Without calculating, order the quotients smallest to largest.
Answers
The order of the quotient from smallest to largest is given as follows:
42.6/70, 426/70, 42.6/0.07, 42.6/0.07.
What is a quotient?A quotient is given by the division of two terms a and b, that is:
a / b.
From this, we have that the dividend a and divisor b are inverse proportional, that is:
A large quotient is achieved when a is large and b is small.A small quotient is achieved when a is small and b is large.There are three divisions with the same term a, hence they are ordered, from smallest to largest, as follows:
42.6/70, 42.6/0.07, 42.6/0.07.
(the smallest the value of b, the largest the quotient).
The final quotient is:
426/70.
Dividing by 10 to have an equivalent value of a, we have that:
426/70 = 42.6/7.
Which is the second largest value of b, hence the second smallest quotient.
Missing InformationThe problem is given by the image shown at the end of the answer.
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Which is greater -2/5 or -3/8 ?
Answers
Answer:-2/5
Step-by-step explanation: due to them being negative we are using the simple thing of which number is closer to zero. -2/5 is closer which means that is it greater. -2/5 would be ahead on number line if you need a visualization
Answer:
-3/8
Step-by-step explanation:
1) Work out the options you are given
-2/5 = -0.4-3/8 = -0.3752) Find which one is greater
As the numbers are decimal the 'seemingly greater number' might actually be the smaller one.
To find out which decimal is greater you can easily plot them into a number line.
The number that is further to the left is smaller and the number closer to the right is higher!
If we were to plot the numbers one a number line the -0.375 would be closer to the right meaning it is greater.
HINTS:
To make it easier to divide minus numbers, at first completely forget about the minus (you can plug it back in at the end).
For example, if you were given -2/5 get rid of the minus to get 2/5 and from this we can easily figure out 2 ÷ 5 which would give us 0.4.
At the point where you have your final number you can add the - back in making it -0.4
Hope this helps, have a great day!
1. (5x10^-4)x(3x10^-5) in standard form
2. (2.8x10^9) divided by (7x10^5) in standard form
3. (2x10^-14) divided by (4x10^-6) in standard form
Answers
the given numbers in standard form can be expressed as :
1. 1.5 × [tex]10^-10[/tex]
2. 4 × [tex]10^1 ^3[/tex]
3. 5 × [tex]10^-^2^1[/tex]
What do you mean by standard form ?Standard form refers to any number that can be expressed as a decimal number and falls within the range of 1.0 and 10.0 when multiplied by a power of 10. The standard form of 123,000,000 is 1.23 108 because, if you look closely, 1.23 is a decimal number between 1.0 and 10.0.
1. The given numbers are (5x10^-4)x(3x10^-5)
On multiplying the natural numbers first we get :
15 × [tex]10^{-9}[/tex]
1.5 × [tex]10^-10[/tex]
2. The given numbers are (2.8x10^9) and (7x10^5)
on dividing them we get
0.4 ×[tex]10^1 ^4[/tex]
4 × [tex]10^- ^1[/tex] ×[tex]10^1 ^4[/tex]
4 × [tex]10^1 ^3[/tex]
3. The given numbers are (2x10^-14) divided by (4x10^-6)
Thus after dividing the natural numbers we will get
0.5 ×[tex]10^- ^2 ^0[/tex]
On further simplifying we get
5 × [tex]10^ -^1[/tex] ×[tex]10^- ^2 ^0[/tex]
5 × [tex]10^-^2^1[/tex]
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Calvin thinks that only fractions with a denominator of 2, 4, 5, 10 and 20 will
change into terminating decimals. See if he is correct by converting every unit
fraction from ½ up to 1/25 into a decimal using your calculator. Try to explain your
findings
Answers
Answer: Calvin is incorrect because as you can see from my table, when we have the fraction ⅛ we get a terminating decimal proving that he is wrong.
Step 1: Create a table that shows the unit fraction and the decimal of each (the r stands for repeating, and ra stands for random numbers). To convert the unit fraction to a decimal, simply type it in your calculator, but use the division sign instead of the fraction bar. I stopped my table at ⅛ since that is where we find our answer, but you can keep going. My table is attached.
Step 2: Formulate a well thought out explanation of why he is wrong. Example: My answer above.
- Pls help due tomorrow !
Answers
Its multiplication so in steps it would look like
(-3p + 6) x (-3p + 6)
= 9p^2 + -18p + -18p + 36
= (9p^2 -36p + 36)
Step 2:
(9p^2 -36p + 36) x (-3p + 6)
= (-27p^3 + 54p^2 + 108p^2 + 216p - 108p + 216)
By factoring completely you need to simplify it by just adding everything up that matches.
(-27p^3 + 162p^2 + 108p + 216)
is the simplified answer
Which fractions are equivalent to 0.63 repeating?
Answers
===============================================
Work Shown:
[tex]\text{x} = 0.\overline{63}[/tex]
x = 0.63636363...
100x = 63.63636363...
100x - x = (63.63636363...) - (0.63636363...)
99x = 63
x = 63/99
x = (7*9)/(11*9)
x = 7/11
This table shows a few fractions equivalent to 7/11
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Multiply top} & \\ \text{and bottom by} & \text{Equivalent fraction}\\\cline{1-2}2 & 14/22\\\cline{1-2}3 & \boldsymbol{21/33}\\\cline{1-2}4 & \boldsymbol{28/44}\\\cline{1-2}5 & 35/55\\\cline{1-2}6 & 42/66\\\cline{1-2}\end{array}[/tex]
The terms in bold are the two answers
In other words, 7/11 = 21/33 when multiplying top and bottom by 3.
Also, 7/11 = 28/44 when multiplying top and bottom by 4.
To confirm those answers, use a calculator to find that
7/11 = 0.636363...
21/33 = 0.636363...
28/44 = 0.636363...
To rule out the non-answers, use the calculator to find that
14/21 = 0.667 approximately
7/12 = 0.5833 approximately
Alice changes size several times. The ratio of her orginal height to her second height is 24 to 5. The ratio of her second height ot he rthird height is 1 to 12. The ratio of her orginal height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shortest height?
Answers
Answer:
3 inches
Step-by-step explanation:
Let's call the heights H1 thru H4.
So we have
H1/H2 = 24/5
H2/H3 = 1/12
Therefore if we multiply these, we have
H1/H3 = 2/5
Finally we are given
H1/H4 = 16/1.
By logic we can see that H3 is the tallest.
Thus if H3 = 10 feet, H1 = 4 feet
And from that,
H2 = 1/12 (10 feet) = 5/6 feet = 10 inches
and finally
H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot =
3 inches
Answer:
3 inches
Step-by-step explanation:
Let's call the heights H1 - H4
Here, we have
H1/H2 = 24/5
H2/H3 = 1/12
And so, we have
H1/H3 = 2/5
Finally
H1/H4 = 16/1.
Thus if H3 = 10 feet, H1 = 4 feet
And from that,
H2 = 1/12 (10 feet) = 5/6 feet = 10 inches
And last,
H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot = 3 inches
If u can solve both the blanks that would be great
Answers
interest = $67.50
A= $367.50
I = A - P = $67.50
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Solving our equation:
A = 300(1 + (0.025 × 9)) = 367.5
A = $367.50
The total amount accrued, principal plus interest, from simple interest on a principal of $300.00 at a rate of 2.5% per year for 9 years is $367.50.
The cost of endless chicken wings at Restaurant X is $4. The cost of chicken wings at Restaurant Z is 20 cent per wing plus a $1.60 charge for sauce. The total cost, c, of n chicken wings at either restaurant can be represented by an equation. Write and graph a system to find how many chicken wings you have to have for the cost to be the same at both restaurants.
Answers
Answer:
Step-by-step explanation:
Equation: $4 = 0.2x + $1.60
1. Subtract $1.60 from both sides to get $2.4 = 0.2x
2. Divide both sides by 0.2 to get the value of x. 12 = x.
ANSWER: You need to buy 12 chicken wings at restaurant Z for the cost to be the same. Hope this helped
Zoe is driving on a long road trip. She currently has 13 gallons of gas in her car. Each
hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in
the tank after driving for 2 hours? How much gas would be left after t hours?
Gas left after 2 hours:
Gas left after t hours:
Answers
Gas left after 2 hours is 1.5 gallons and the function that represent the gas which is left in the tank after driving for t hours is 13 - 0.75t gallons.
Zoe is driving on a long road trip.
The amount of gas she has in her car = 13 gallons.
It is given that each hour that she drives, functions her car uses up 0.75 gallons of gas.
So, Gas used in the car for one hour = 0.75 gallons
Gas used in the car for two hours = 0.75*2 = 1.5 gallons
Hence, Gas left in the tank after driving for 2 hours = 13 - 1.5 = 11.5 gallons.
Now,functions
Gas used in the car for t hours = 0.75*t = 0.75t gallons
Gas left in the tank after driving for t hours = 13 - 0.75t gallons.
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What is the classification for this polynomial?
-6uv - 3u - 2v.
Click on the correct answer.
monomial
binomial
trinomial
Answers
1. -6uv
2. 3u
3. 2v
Graph the piecewise function.
(6 points - 2 points for each piece)
Answers
Points of interval A (-1,-3) and (-2,-6)
Points of interval B is (1,1) and (2,-1)
How to find Piecewise function?
Determine which of the following intervals (or inequalities) the input belongs to before evaluating a piecewise function at any given input. The function specification for that specific interval can then simply be updated to reflect the new input.
[tex]f(x)=\left \{ {{3x, if x\leq -1} \atop {-2x+3, if 0 < x < 4}}\atop {2, if x\geq 4}\right.[/tex]
lets take 3x as Interval A
-2x+3 as interval B
and 2 as interval C
Now lets calculate the interval A
f(x)=3x
as x≤-1
∴f(-1) = 3(-1)
=(-3)
∴ point is (-1,-3)
∴f(-2) = 3(-2)
=(-6)
∴ point is (-2,-6)
Now lets calculate the interval B
f(x)=-2x+3
as 0<x<4
∴f(1) = -2(1)+3
=-2+3
=1
∴ point is (1,1)
∴f(2) = -2(2)+3
=-4+3
= -1
∴ point is (2,-1)
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Find the equation of the line passing through the given point and parallel to the given line.
( 7,-3) , 3y = 12x + 5
(-5, -2), y + 3x = 10
Answers
The equation of the lines passing the points and parallel to the equations ( 7,-3) , 3y = 12x + 5 (-5, -2), y + 3x = 10 is as follows:
y = 4x - 31y = -3x - 17.How to find the equation of a line?The equation of a line can be represented in different form such as standard form, general form, slope intercept form and point slope form. Therefore, let's represent the line in slope intercept form.
The equation of a line in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptParallel line shave the same slope.
Hence,
( 7,-3) , 3y = 12x + 5
y = 4x + 5 / 3
slope is 4
The equation of the line is y = 4x + b. let's find the y-intercept using (7, -3).
-3 = 4(7) + b
b = -3 - 28
b = - 31
Hence, y = 4x - 31
(-5, -2), y + 3x = 10
y = -3x + 10
slope = -3
Therefore, let's find y-intercept using (-5, -2)
-2 = -3(-5) + b
-2 = 15 + b
b = -2 -15
b = - 17
Therefore, y = -3x - 17.
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11/12+7/12 in simplest form
Answers
Answer:
The answer to your question could be either 3/2 (improper fraction), 1.5 (decimal), or 1 1/2 (mixed fraction).
Step-by-step explanation:
11/12 + 7/12 = 18/12
18/12 = 9/6
9/6 = 3/2
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS
Answers
Answer:
third and last, can't promise that's right
Bob’s employer covers 23% of his family’s annual health insurance premium. The balance of the premium is deducted in equal amounts from bob’s paycheck 26 times over the calendar year. If $185. 30 is withheld from each of bob’s paychecks, what is his family’s annual health insurance premium? a. $805. 65 b. $4,817. 80 c. $6,256. 88 d. $20,946. 96.
Answers
If $185.30 is withheld from each of Bob's paychecks, then his family's annual health insurance premium is $4817.80.
From the given information,
It was stated that the balance of the premium is deducted in equal amounts from Bob’s paycheck 26 times over the calendar year and $185.30 is withheld from each of Bob’s paychecks.
Therefore, the family’s annual health insurance premium will be calculated :
= $185.30 × 26
= $4,817.80
In conclusion, the correct option is $4,817.80.
therefore, his family's annual health insurance premium is $4817.80
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In 2021, Sally Morris, a single taxpayer, pays $3,000 of interest on qualified student loans. Her AGI is $40,000. What is her qualified student loan interest deduction in 2021?
Answers
The qualified student loan interest deduction in 2021 is $37500.
What is adjusted gross income?Adjusted gross income is an individual's total gross income less specific deductions in the United States income tax system. It is used to compute taxable income, which is AGI minus personal exemption and itemized deduction allowances. AGI is more important than gross income for most individual tax purposes.
AGI is calculated by taking your gross income and subtracting certain "above the line" deductions. 401(k) contributions, health savings account contributions, and educator expenses are common examples of deductions
As per Law, a maximum of $2,500 will be allowed to be deducted from the Income. Thus the following would be the solution.
Income of Sally Morris = $40,000
Less: Qualified student loan interest $2,500
Modified Adjusted Gross Income $37,500
The deduction is $37500.
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5.
The area of a circle is 40 mm²,
determine the circumference.
Answers
Answer: the formula to find circumference is C=2times pie which is 3.14 times the radius. Radius is half of the diameter which in this case I believe would be 20 times that by 3.14 and get 62.8 then times that by two which gives you the answer of 125.6
Step-by-step explanation: correct me if I’m wrong