to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
What will cause a vertical translation?
First, remember that for a general function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N > 0, the translation is upwards.If N < 0, the translation is downwards.In this case, we have the function:
f(x) = (x - h)^2 + k
If we apply a vertical translation of N units, then we get the new function:
f'(x) = (x - h)^2 + k + N
Now we have two constants, we can define:
k ' = k + N
Then the new quadratic function is:
f'(x) = (x - h)^2 + k'
So, as you can see, to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
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Does anyone get this thanks
Answer:
350p2+19500p-199000
(The first term is actually -350p² but I guess you have to write it as -350p2)
Step-by-step explanation:
Looks like that first term in the revenue equation is -350p²
We have
E = -1500p + 199000
R = -350p² + 18000p
Profit = Revenue - Expenses = R - P
Profit = -350p² + 18000p - (-1500p + 199000)
= 350p² + 18000p + 1500p - 199000
= 350p² + 19500p - 199000
the price for 15 boxes of pencils is $67. The price for 34 boxes is $143. by how much does the cost increase for each additonal box of pencils purchased?
Answer:
$0.3
Step-by-step explanation:
Cost of one box in a set,
→ 67/15
→ 4.47 = $4.5
Cost of one box in another set,
→ 143/34
→ 4.205 = $4.2
The cost increase for each extra box,
→ 4.5 - 4.2
→ $0.3
Hence, the answer is $0.3.
What is a statement that explains why 13x - 13y = -26 Shares a solution with {10x-3y=29
{-3x+10y=55
A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.
What is defined by system of equations?Linear equations (those that graph as straight lines) are easier to solve than non-linear equations, as well as the simplest linear system has two equations and two variables.The equation system is presented below;
10x - 3y = 29 .........equation 1
-3x + 10y = 55 ..........equation 2
As a result of subtracting equation (2) from equation (1), we get;
By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.
13x - 13y = 29 - 55 = -26
Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.
We can see from the subtraction of equivalent representations that the solution for the
The solution for given equation, 13x - 13y = -26, is like the solution for given equation.
The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.
Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.
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Help with my math !!
Answer: 3rd down :D
Step-by-step explanation:
This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.
Find constants and in the function ()= such that (12)=1 and the function has a local maximum at =12
When the function changes from increasing to decreasing, a local maximum occurs. The value of a = 5e.
What is meant by local maximum?A local maximum point on a function is a point (x, y) on the function's graph whose y coordinate is greater than all other y coordinates on the graph at "close to" points (x, y).
When the function changes from increasing to decreasing, a local maximum occurs. This means that the function's derivative will shift from positive to negative.
Let the function be [tex]&F(x)=a x e^{b x} \\[/tex]
[tex]&F '(x)=d / d x\left(a x e^{b x} ) \\[/tex]
[tex]&=a(d / d x)\left(x e^{b x}) \\[/tex]
simplifying the above equation, we get
[tex]&=a\left[\left(d / d x* x\right) e^{b x} +\left(x* d / d x* e^{b x} )\right] \\[/tex]
[tex]&=a\left[e^{b x} +b x e^{b x} \right] \\[/tex]
[tex]$&=a[1+b x] e^{b x}[/tex]
For critical points, set [tex]$f^{\prime}(x)=0$[/tex] and solve for x
[tex]&a[1+b x] e^{b x} =0 \\[/tex]
simplifying the above equation, we get
1 + bx = 0
bx = -1
x = -1/b
The value of x = -1/b
Given that f(x) has local max at 1/5, critical point x = 1/5 then
-1/5 = -1/b
Therefore, b = -5
[tex]&F(x)=a x e^{-5x}\\[/tex]
[tex]&F(1 / 5)=a / 5 e^{-1}\\[/tex]
1 = a/5e
Therefore, the value of a = 5e.
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Solve the equation
3(4z-7)=-21+12z
Answer:
Step-by-step explanation:
Let's open the brackets,
12z - 21 = -21 + 12z (distributive property)
12z - 12z = -21 + 21
0z = 0
z = 0
The Transitive Property states that if a=b and b=c, then a=c. Explain how you can use the Transitive Property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x
How to Interpret Transitive Property?
We are told that the Transitive Property states that if a = b and b = c, then a = c.
Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.
Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
Now, the expression 0 + x + 13 is equal to x + 13.
Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;
0 + x + 13 is equal to 13 + x
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Calculus Derivative Question
(a) Differentiate [tex]s(t)[/tex] to get the velocity.
[tex]s(t) = \cos(t^2 - 1)[/tex]
Use the chain rule.
[tex]u = t^2 - 1 \implies \dfrac{du}{dt} = 2t[/tex]
[tex]s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)[/tex]
[tex]\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}[/tex]
(b) Evaluate the derivative from (a) at [tex]t=0[/tex].
[tex]\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}[/tex]
(c) The object is stationary when the derivative is zero. This happens for
[tex]-2t \sin(t^2 - 1) = 0[/tex]
[tex]-2t = 0 \text{ or } \sin(t^2 - 1) = 0[/tex]
[tex]t = 0 \text{ or } t^2 - 1 = n\pi[/tex]
(where [tex]n[/tex] is any integer)
[tex]t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}[/tex]
We omit the first case. In the second case, we must have [tex]n\ge0[/tex] for the square root to be defined. Then in the given interval, we have two solutions when [tex]n=\in\{0,1\}[/tex], so the times are
[tex]t_1 = \sqrt{1} = \boxed{1}[/tex]
[tex]t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035[/tex]
(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as
• intercepts (solve [tex]s(t)=0[/tex] to find [tex]t[/tex]-intercepts and evaluate [tex]s(0)[/tex] to find the [tex]s[/tex]-intercept)
• intervals where [tex]s(t)[/tex] is increasing or decreasing (first derivative test)
• intervals where [tex]s(t)[/tex] is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of [tex]s(t)[/tex], which you can see in the plot agrees with the critical points found in (c))
SOH CAH TOA
I don't understand this stuff I have a test coming up can someone pls help me with this i am stuck
I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.
The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
Let's use the trig ratio cosine.
cos(angle) = adjacent/hypotenuse
cos(39) = x/7
7*cos(39) = x
x = 7*cos(39)
x = 5.44002 which is approximate
x = 5.4
Make sure your calculator is in degree mode.
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
A. y=1/5x+4
B. y=1/5x+12/5
C. y=-5x+4
D. y=-5x+12/5
The slope of the line shown is 1/5, and being parallel means having the same slope. So it’s either a or b.
Next, you plug in (-2, 2) into y=1/5x+b to find b.
Solving you get: 2=1/5 * -2 +b
2=-2/5+b
B=2 2/5
12/5 = 2 2/5
So the answer is b.
Hope this helps!
use the law of detachment.
If you pass the final, then you pass the class. You passed the final.
so a lot of detachment is really just a former way of saying, like if then so it's if you pass a final, then you pass the class. You passed the final.
Therefore you pass the class, right? So it's the law of attachment basically says, Okay, if U then D and we're just told that U is true.
Is the inequality always, sometimes, or never true?
Answer:
Never true
Step-by-step explanation:
2x - 5 < 2(x - 3) first multiply 2 with the inside the parenthesis
2x - 5 < 2x - 6
now when we simplify the inequality 2x on the both sides will be eliminated and we will be left with:
(-5) < (-6) which cannot be true because (-5) is closer to 0 in number line so it's bigger then (-6) not smaller
Therefore the answer is "Never true"
What price do farmers get for their watermelon crops? in the third week of july, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. assume that is known to be $2.00 per 100 pounds.
We have given a sample size of n=40
Sample mean ¯x=$6.88 per 100 pounds
Population standard deviation= 1.96 per 100 pounds
First, we need to find the value of z α /2 =z (1−0.90/2)
Z (α/2) =z0.05
Z (α/2) =1.645
(a)The required 90% confidence interval is;
¯x ± margin of error
¯x ± z (α/2) * σ/sqrt 40
6.88 ± 1.645 * 1.96/sqrt 40
6.88±0.5097
(6.38,7.38)
Therefore, the lower limit is $6.38 per 100 pounds.
The upper limit is $7.38 per 100 pounds.
The margin of error is 0.50 per 100 pounds.
(b) to have the maximum of E, we use the formula;
n= (z (α/2)×σ/E) ^2
n= (1.645× (1.96/0.41)) ^2
n=61.84≈62
Therefore, the required farming region will be 62.
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what is a mediannnn please help
Answer:
The middle number in a set of numbers.
Step-by-step explanation:
For example, if I have a set of numbers like 5,6,3,7,9
3 would be the median because it is in the middle.
I hope I helped!!
Identify the name of the picture
Answer:
A blank one
Step-by-step explanation:
There's no picture
Answer:
Sussy
Step-by-step explanation:
1. There is nothing
2. Imposters are barely visible.
3. Your welcome
A technical analyst would consider a put call ratio of ____ as a bearish indicator.
a. 40 percent
b. 30 percent
c. 50 percent
d. 60 percent
A technical analyst would consider a put call ratio of 30 percent as a bearish indicator.
What in SAPM is technical analysis?
Technical analysis is a type of security analysis that makes use of price and volume data, which are often graphical represented in charts. To provide investing advice, the charts are examined using a variety of indicators.Which technical metric is regarded as bullish?
One technical indicator that gauges the discrepancy between current prices and historical prices is the Channel Commodity Index (CCI). Its reading ranges from 100 to -100. Prices are viewed as bullish when CCI shifts from the negative to close to 100.Learn more about technical analysis
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Among fatal plane crashes that occurred
during the past 65 years, 260 were due to
pilot error, 62 were due to other human
error, 315
were due to weather, 682 were due to
mechanical problems, and 313 were due to
sabotage.
Fill in the relative frequency for each
category. Write answers in percentage
form and round to one decimal place as
needed. Do not include the percent
symbol.
The relative frequency are
i) Pilot error = 15.9 percent
ii) Human Error =3.8 percent
iii) Weather = 19.3 percent
iv) Mechanical problem = 42 percent
v) Sabotage = 19.2 percent
The formula for the relative frequency is = f/n
Where, f = the number of times the data occurred in an observation
n = total number of observations.
If we have to convert it into percentage form we will multiply it by 100
Thus we have been given that
Crashes due to pilot error = 260
Crashes due to other human error = 62
Crashes due to weather = 315
Crashes due to mechanical problem = 682
Crashes due to sabotage = 313
Total number of errors occurred = 260+62+315+682+313
= 1632
Hence, the relative frequency are
i) Pilot error = 260/1632 * 100 = 15.9 percent
ii) Human Error = 62/1632 * 100 =3.8 percent
iii) Weather = 315/1632 * 100 = 19.3 percent
iv) Mechanical problem = 686/1632 * 100 = 42 percent
v) Sabotage = 313/1632 * 100 = 19.2 percent
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Find using distributive property: 4/7 x-3/5 + -4/5 x 4/7.
The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.We learn how to solve expressions in the form of a(b + c) from the distributive property. The distributive law of multiplication and division is another name for the distribution property.The given expression is [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]
Here we take the reverse of the distributive property to solve the expression. We take the term of [tex]\frac{4}{7}[/tex] common from both the separate expressions:
[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]
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Mark had some money. He gave half of that to his brother and then he gave another $5 to his sister. He now has $20. How much money did Mark have in the beginning?
Answer:
45 $
Step-by-step explanation:
20 x 2 = 40
40 + 5 = 45
Classify the polynomial by degree and number of terms
v4 - 3v² +5v + 10
Thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, find the probability for the given draw :
A red marble?
A red or a green marble?
An Orange marble?
Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.
Write a quadratic function in standard form Vertex (1,9); passes through (4,6)
y = -3 ( x - 1 )² + 9 is quadratic function in standard form Vertex .
How does a parabola's vertex shape work?
The coordinates of the point where a parabola crosses its axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax2+bx+c.given , Vertex = (1,9)
point = (4,6)
The formula is
y = a + ( x - h )² + k
where h = 1 , k = 9
then y = a ( x - 1 )² + 9
Find the value of
a when one of the points is ( 4,6)
6 = a ( 4 - 1 )² + 9
6 - 9 = 9a
-3 = 9a
a = -9/3 ⇒ -3
put value of a
y = a ( x - 1 )² + 9
y = -3 ( x - 1 )² + 9
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solve:
2(3x-2)+5x-3=2
SHOW ALL STEPS
Answer:
x = 9/11
Step-by-step explanation:
distribute the 2:
6x - 4 + 5x - 3 + 2
combine like terms:
11x - 7 = 2
add 7 to both sides:
11x = 9
divide by 11 to isolate x:
x = 9/11
Step-by-step explanation:
Distribute 2 to 3x-2
[tex]6x - 4 + 5x - 3 = 2[/tex]
Them combined like terms
[tex]11x - 7 = 2[/tex]
Then add 7 to both sides
[tex]11x = 9[/tex]
Then divide by 11 and get
[tex] \frac{9}{11} [/tex]
Which of the following statements about the box-and-whisker plot below is not true? 70 72 74 76 78 80 02 16 O The midrange of the data set shown is 85.5. O Both 72 and 99 are values in the set of data. The median of the data set shown is 81. 94 There are fewer data points in the lower two quartiles than in the upper two quartiles.
The false statement regarding the box-and-whisker plot is given by:
There are fewer data points in the lower two quartiles than in the upper two quartiles.
What is the missing information?The box-and-whisker plot is not given for this problem, but from it, we have that:
The minimum value is 72.Q1: 75.Median: 81.Q3: 90.Maximum: 99.What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The false statement is:
There are fewer data points in the lower two quartiles than in the upper two quartiles.
Because 50% values are below the median and 50% are above, meaning that there is an equal number of data points in the lower two quartiles than in the upper two quartiles.
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Find the measurement of each marked angle
Answer:
see below
Step-by-step explanation:
The interior angle of the triangle on the right is 180 - ( 9x+12)
this plus the other two sum to 180 degrees
180 - (9x+12) + 4x-3 + 6x + 3 = 180
x = 12
then the angles are 6(12) + 3 = 75 4(12) -3 = 45 and 60°
Small, random genetic changes that occur over generations is known as _________.
Small, random genetic changes that occur over generations is known as genetic drift.
What is genetic drift?Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.
Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.
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Suppose+14%+of+the+listeners+of+a+radio+station+listen+to+it+while+they+are+at+work.+what+is+the+approximate+standard+deviation+of+the+sampling+distribution+of+the+proportion+for+samples+of+size+85?
The approximate standard deviation of the sampling distribution of the proportion is 3.8%.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.
Now, as per the questions;
Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:
σp = √( PQ/n)
We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.
P = probability of listening at work, is 14% or 0.14
Q = probability of not listening at work, is (100- 14)% = 86% = 0.86
N = sample size, is 85
The sample standard deviation is then
σp = √(14×.86/85)
σp = 0.0376
σp = 3.8% (approximately)
Therefore, the approximate vale of the standard deviation is found to be 3.8 %.
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The correct question is-
If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?
Select the two categories that would yield quantitative data.
a.) gender of pet
b.) weight of pet
c.) color of pet
d.) type of pet
e.) age of pet
Weight of pet & age of pet are the two categories that would yield quantitative data.
What foundation does qualitative data have?
Information that cannot be quantified, counted, or simply stated using numbers is referred to as qualitative data. Data visualization technologies like word clouds, idea maps, graph databases, timelines, and infographics are used to communicate the information that is gathered from text, audio, and visual sources.Which two sorts of quantitative data are there?
There are two forms of quantitative data: discrete data and continuous data. Interval and ratio data are subsets of continuous data. Quantitative data consists of numerical values and their associated numerical attributes.Weight of pet & age of pet are the two categories that would yield quantitative data because both quantity can measured or counted.
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Does (9, 7) make the equation y = x + 2 true?
Answer:
no
Step-by-step explanation:
y = 9 + 2 is 11 not 7
Abby bakes 5 cupcakes. Esteban bakes 4 cupcakes. They put 3 candy hearts on each cupcake. How many candy hearts are used? Explain
Answer:2
Step-by-step explanation:
