\( \purple \bold{a^2 - b^2} \)
Step-by-step explanation:
X+4 is prime. X2-9can be factored using the \( \purple \bold{a^2 - b^2} \) formula
\( x^2 - 9\\
=x^2 - 3^2 \\
= (x+3)(x-3)\)
Answer: difference-of-squares
next one is (x+3)(x-3)(x+4)
Step-by-step explanation:
just took it on ed genuity :)
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
not for sure tho
Which statement about the points (0, 3), (2, 8), (8, 2), and (0, 1) is true?
All but one of the points is on the x-axis.
The points (0, 3) and (0, 1) are located on the same axis.
All but one of the points are in Quadrant I.
The point (8, 2) is the closest to the x-axis.
Answer:
The points (0, 3) and (0, 1) are located on the same axis.
Step-by-step explanation:
coordinates are in the format (x, y) where x is how far it is on the x axis and y is how far it is on the y axis.
x axis is the horizontal (left and right)
y axis is the vertical (up and down)
Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 8 m and a depth of 1.3 m. Suppose water is pumped into the pool at a rate of 17m ^ 3 per hourHow many hours will it take to fill the empty pool? Use the value 3.14 for and round your answer to the nearest hour. Do not round any intermediate computations pi
First, we need to find the volume of the pool. Since it is a cylinder we can calculate its volume as follows:
\(\begin{gathered} V=\pi r^2h \\ where: \\ r=\frac{8}{2}=4m \\ h=1.3 \\ so: \\ V=\pi(4^2)1.3 \\ V=20.8\pi_{\text{ }}m^3 \end{gathered}\)Let:
t = time required to fill the pool
t will be given by:
\(\begin{gathered} t=\frac{V}{r} \\ where: \\ r=\frac{17m^3}{h} \\ so: \\ t=\frac{20.8\pi m^3}{\frac{17m^3}{h}} \\ t\approx4h \end{gathered}\)Answer:
4 hours
I need help with these 3 questions.
a. The percentage of persons (p) who would permit the pressure to increase to its highest point is what we are predicting.
What is the statistics
b.the pressure to build to its highest point (75/264).
c. Sample statistic's value is 0.2835.
d. Estimate's standard error is 0.0255.
e. Its highest level, the 95% confidence interval, is (0.2326, 0.3344).
A subfield of mathematics called statistics is concerned with the gathering, examination, interpretation, presentation, and arrangement of data.
Several disciplines, including business, economics, sociology, psychology, epidemiology, and public health, employ it. Statistic uses a variety of techniques to gather and analyse data to better understand.
(A) The percentage of persons (p) who would permit the pressure to increase to its highest point is what we are predicting.
(b) The sample statistic, given as p, is the percentage of subjects that allowed the pressure to build to its highest point (75/264).
(c) The sample statistic's value is 0.2835.
(d) The estimate's standard error is 0.0255.
(e) For the percentage of people who would permit the pressure to reach its highest level, the 95% confidence interval is (0.2326, 0.3344).
Therefore, Overall, the findings of this study indicate that a significant majority of high school pupils will tolerate pressures up to 300 mmHg without ever complaining about the discomfort. The range of values inside the 95% confidence.
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What is the value of u?
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
36. Please help me it’s my last question
Answer:
7in. in length and 6in. in width.
Step-by-step explanation:
Divide the number of feet by 3.
Show your work.
What is the value of 2m2 + 12 when m = 3?
Will mark as brainliest
Answer:
24
Step-by-step explanation:
first you replace m with 3
like this:
2(3)2+12
then you multyply 2*3*2
and get this:
6*2+12
12+12
=24
Hey there!
2m^2 + 12
= 2(3)^2 + 12
3^2
⇒3 * 3
⇒ 9
= 2(9) + 12
= 18 + 12
= 30
Therefore, your answer is: 30
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
id appreciate some help ^^
Answer:
392
Step-by-step explanation:
I would separate this into 2 shapes a triangle and a square. So first take the area of the square
area of square = base x height
16x19=304
Than take the area of the triangle
area of triangle = 1/2(base x height)
you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16
1/2(16x11)= 88
Add them together
304+88=392
At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?
Answer:
he gets 4.33 dollars back
Step-by-step explanation:
add 2.75+1.20+1.35+0.37= 5.67
10-5.67=4.33 $
Answer:
4.33
Step-by-step explanation:
if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67
Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be
worth $10,000. What is the rate of return on the trust fund?
Answer:
fv/pv=(1+r)^n
10,000/5000=(1+r%)^12
2=(1+r%)^12
r= 5.95
Step-by-step explanation:
fv/pv=(1 + r)^n
10000/5000=(1 + r%)^12
2=(1 + r%)^12
r=5.95
Please explain your answer to the question in the picture with steps.
There are 4 consecutive even integers that add up to 100. What is the least of the 4 integers?
The least among all 4 integers such that they sum up to 100 will be 22.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer; ....-2 , -1 , 0 , 1 , 2 , .....
Integers are non-decimal numbers and all integers are rational numbers.
Suppose the first integer is x.
The next three digits will be, x + 2, x + 4, and x + 6 correspondings.
Sum x + x + 2 + x + 4 + x + 6 = 100
(x + x + x + x) + (2 + 4 + 6) = 100
4x + 12 = 100
4x = 88
x = 22
Hence"The smallest of the four integers that add up to 100 is 22".
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1. A honeybee leaves the hive and travels 2 KM before returning. What distance did the
honeybee travel and what was the honeybee's displacement
Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0
Displacement is defined as the shortest distance travelled by the object.
According to the question we have been given that the honeybee travelled 2km before returning to the hive.
Thus the total distance travelled by the honeybee is = 2 + 2 km
= 4 km
And the honeybee’s displacement = 0
Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.
Hence total distance = 4km
And displacement = 0
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A true-false examination was constructed with the answers running in the following sequence: T F F T F T F T T F T F F T F T F T T F Does this sequence indicate a departure from randomness in the arrangement of T and F answers?
Answer:
yes
Step-by-step explanation:
lets use a significance level of = 0.1
Determine if the sequence indicates randomness
First step :
H0 : pattern is random
H1 : pattern not random
n1 ( number of true answers ) = 10
n2 ( number of false answers ) = 10
also number of runs for T = 5
number of runs for F = 5
Total number of runs = 5+ 5 = 10
Given that critical value at 0.05 = 23
we will reject the null hypothesis ( i.e the sequence departs from randomness )
If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4
If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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Employees wage, please answer!
Consider the polynomials Bold p 1 (t )p1(t) equals = 3 3 plus + 8 8t, Bold p 2 (t )p2(t) equals = 3 3 minus − 8 8t, and Bold p 3 (t )p3(t) equals = 6 6 (for all t). By inspection, write a linear dependence relation among Bold p 1 p1, Bold p 2 p2, and Bold p 3 p3. Then find a basis for Span StartSet Bold p 1 comma Bold p 2 comma Bold p 3 EndSet Spanp1, p2, p3.
Answer:
Apparently \(\mathbf{p}_1(t) + \mathbf{p}_2(t) - \mathbf{p}_3(t) = 0\).
One possible basis for this span is \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\).
Step-by-step explanation:
Linear DependenceA set of vectors is linearly-dependent if one of the vectors is a linear combination of the others.
Alternatively, to show linear dependence, show that the equation \(a\, \mathbf{p}_1 + b\, \mathbf{p}_2 + c\, \mathbf{p}_3 = 0\) has a non-trivial solution (where at least one of the three scalars \(a\), \(b\), and \(c\) is non-zero.)
For this set of polynomials, it can be shown that:
\(\mathbf{p}_3(t) = \mathbf{p}_1(t) + \mathbf{p}_2(t)\), or equivalently,
\(\mathbf{p}_1(t) + \mathbf{p}_2(t) - \mathbf{p}_3(t) = 0\).
Either way, the set \(\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\) would be linearly-dependent.
Basis of the Span\(\mathbf{p}_3(t) = \mathbf{p}_1(t) + \mathbf{p}_2(t)\) implies that \(\mathbf{p}_3\) is a linear combination of \(\mathbf{p}_1\) and \(\mathbf{p}_2\). Therefore, \(\mathbf{p}_3\) is in the span of \(\mathbf{p}_1\) and \(\mathbf{p}_2\) (in other words, \(\mathbf{p}_3 \in \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).) Hence:
\(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\} = \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).
Therefore, any basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\) would also be a basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\).
On the other hand, it can be shown that \(\mathbf{p}_1\) and \(\mathbf{p}_2\) are linearly-independent. Therefore, \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\) should have a dimension of \(2\). As a result, there should be exactly \(2\) linearly-independent vectors in a basis of \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).
There are many different choices for the basis of \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\). One possible choice is the set \(\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\), which is equal to \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\). Make sure that this set is indeed linearly-independent and contains two vectors.
Because it has already been shown that \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\} = \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\), \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\) should be a basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\), as well.
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
HELP ME ASAP!!! YOU WILL BE BRAINLIEST
We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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Any help on this question thanks!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table and graph are attached.
x: -2, -1, 0, 1
y: -1, 1, 3, 5
Answer: I can help you with this.
Step-by-step explanation:
So you have to use the equation and plug in the numbers.
Like; in the table we are given x so u have to find y using the equation. Let's do one for -2
Y = 2x + 3
? = 2 (-2) + 3
Y = - 1
Hope you can do the rest. ♀️
Anybody know how to solve this?
Answer:
1
Step-by-step explanation:
Anything to the 0 power is 1.
Hope this helps!
:)
Answer:
the answer is one.
Step-by-step explanation:
anything to the power of zero is one
Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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What is the product of 4.201 and 5.3? Round to the nearest hundredth
Answer:
22.2653 or 22.27
Step-by-step explanation:
hope this helps
Answer: 22.265
Step-by-step explanation: 4.201x5.3 = 22.265
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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Graph TU with endpoints T(1,2) and U(4,6) and its image after the composition.
Translation: (x, y) → (x-2, y-3)
Translation: (x, y) → (x-4, y + 5)
The graph of the line segment after the translation (x, y) → (x-2, y-3) and (x, y) → (x-4, y + 5) has been drawn.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given coordinate,T(1,2) and U(4,6)
Apply the translation (x, y) → (x-2, y-3)
T(1,2) → T'(1 - 2,2 - 3) = T'(-1,-1)
U(4,6) → U'(4 - 2,6 - 3) = U'(2,3).
Apply the translation (x, y) → (x-4, y + 5)
T(1,2) → T'(1 - 4,2 + 5) = T'(-3,7)
U(4,6) → U'(4 - 4,6 + 5) = U'(0,11)
All points have been plotted below.
Hence"After the translations (x, y) → (x-2, y-3) and (x, y) → (x-4, y + 5), the graph of the line segment has been drawn.".
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Answer:
Translation (x, y) → (x - 2, y - 3):
T' (-1, -1)U' (2, 3)Translation (x, y) → (x - 4, y + 5):
T'' (-3, 7)U'' (0, 11)Step-by-step explanation:
Given endpoints of line segment TU:
T = (1, 2)U = (4, 6)Translation 1 (blue on attached diagram)
(x, y) → (x - 2, y - 3)This means to subtract 2 from the x-values of the endpoints, and subtract 3 from the y-values of the endpoints:
Therefore:
T' = (1 - 2, 2 - 3) = (-1, -1)U' = (4 - 2, 6 - 3) = (2, 3)Translation 2 (red on attached diagram)
(x, y) → (x - 4, y + 5)This means to subtract 4 from the x-values of the endpoints, and add 5 to the y-values of the endpoints:
Therefore:
T'' = (1 - 4, 2 + 5) = (-3, 7)U'' = (4 - 4, 6 + 5) = (0, 11)Please help! Please find the the area of the polygon
Answer:
360 Meters squared
Step-by-step explanation:
60 + 120 + 130 + 50
an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Question 4 of 10 What is the scale factor from ABC to DEF? A BO 72 42 35 65 B 66 O A. 2 OB. O O D. 6 Ico
Answer:
C
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)