Answer:
(x+3)² = (x+3)(x+3)
When we distribute polynomials, we have to make sure each term mutliplies to all of the terms in the other polynomial.
x(x+3) + 3(x+3)
x² + 3x + 3x + 9
x² + 6x + 9
Methods such as FOIL (first, outside, inside, last) and creating a table can help you with this.
Step-by-step explanation:
Answer:
x^(2)+6x+9 also x=-3
Step-by-step explanation:
Find the x intercept of the line 1x+ 4y = 28 Submit Question Jump to Answer
Explanation
the x interceps is the point where the lines crosses the x-axis
it is when y=0, so
when y=0
\(\begin{gathered} 1x+4y=28 \\ x+4(0)=28 \\ x+0=28 \\ x=28 \end{gathered}\)so, the coordinate of the x intercept is
\((28,0)\)I hope this helps you
100 POINTS WILL AWARD BRAINLIEST
complete the two column proof, images are below
#1
<5 and <6 are vertical angles
Definition of vertical angles or linear pairs#2
Transitive property of congruenceIt states that
If a=b and b=c then a=c is true
#4
Addictive property of congruence#5
Subtraction postulate of anglesWhich is an x-intercept of the continuous function in the table ? (0, - 6); (3, 0); (- 6, 0) O (0, 3)
An x-intercept of the continuous function in the table is (-1, 0)
Intercept of a lineThe x-intercept of a line is the point where the line crossed the x-axis or the point where the value of y is zero.
From the table, the x-intercept are all the point where the value of f(x) is zero. Hence the Which is an x-intercept of the continuous function in the table is (-1, 0)
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You dont have to help but it would be nice if you would :)
Ethan invested $25,000 in an account that earns 4.25% simple interest. If Ethan doesn't make any additional deposits or withdrawals, how much interest will he have earned after 9 years?
Answer:
I think it might be $36,360.06
Step-by-step explanation:
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5
Answer:
y = 3x-6
Step-by-step explanation:
y = 3x−5
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
m =3
Parallel lines have the same slope
We have the slope m=3 and a point (2,0)
y = mx+b
y = 3x+b
Substituting the point into the equation to solve for b
0 = 3(2)+b
0 = 6+b
b = -6
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
Parallel lines have the same slope,
So m = 3
y - 0 = 3(x - 2)
y = 3x - 6
solve
5 1/8 + 2 5/8=
Answer:7 3/4
Step-by-step explanation:
(5*8+1)/8+(8*2+5)/8=41/8+21/8=62/8=7 6/8=7 3/4
find a parametrization of the line passing through the tips of x and y when their tails are placed at 0.0
A parameterization {x[t], y[t]} of the line passing through the tips of X and Y when their tails are placed at (0, 0). Parametric Equation of line is L: x(t) = x(1)+t(x(2)-x(1)); y(t) = y(1)+t(y(2)-y(1)) or L = x + t(y-x).
We have to find a parameterization {x[t], y[t]} of the line passing through the tips of X and Y when their tails are placed at (0, 0).
Let tip of x is at (x(1), y(1)) ⇒ x = x(1)i + y(1)j
Let tip of y is at (x(2), y(2)) ⇒ y = x(2)i + y(2)j
Direction of line passing through tips of vectors.
x and y is d = y-x
d = (x(2)-x(1))i + (y(2)-y(1))j
Parametric Equation of line is
L: x(t) = x(1)+t(x(2)-x(1))
y(t) = y(1)+t(y(2)-y(1))
OR
L = x + t(y-x)
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The right question is:
For generic vectors X and Y, find a parameterization {x[t], y[t]} of the line passing through the tips of X and Y when their tails are placed at (0, 0).
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
(2,1)
(0,1)
(1,1)
Answer:
(1, 1) only.
Step-by-step explanation:
Hey! Let's help you with your question here!
Let's begin by understanding what is given to us. We know that the line contains the point (0, -1) and has a slope of 2. What can we infer from this? We can create a slope-intercept equation of a line! How do we do that? Well, if you recall, the slope-intercept form is:
\(y=mx+b\)
We already have our slope of m, which is 2. Now we just need to find b. But how do we do that? Given that the line contains the point (0, -1), We can substitute the point into x and y and solve for b! It would look like this:
\(-1=2(0)+b\)
\(-1=b\)
Now, that we've solved for b, we get the entire formula of:
\(y=2x-1\)
How do we know if the point is on the line or not? Well, for each point, we substitute the points (x and y) and see if they equal each other. If they don't, then they are not part of the line. If they do, they are considered part of the line. So it would be as such:
(2, 1):
\(y=2x-1\)
\(1=2(2)-1\)
\(1=4-1\)
\(1\neq 3\)
Since they don't equal each other, (2, 1) does not lie on the line.
(0, 1):
\(y=2x-1\)
\(1=2(0)-1\)
\(1\neq -1\)
Since they don't equal each other, (0, 1) does not lie on the line.
(1, 1):
\(y=2x-1\)
\(1=2(1)-1\)
\(1=2-1\)
\(1=1\)
Turns out they do equal each other! Therefore, (1, 1) does lie on the line.
So out of all that we tested, the only point that also lies on the line is (1, 1).
Help me i need to pass this class?
Answer:
3: 58 (72-14=58)
4. 182 (91x2=182. two negatives equal a positive so thats why it has to be 182 and not -182)
5. 6 (3x6=18)
7. -2 (-6x-2=12 12-3 =9)
8.-3 (4x-3= -12 -2 = -14)
11. 3 (2x3=6 +5=11) 6(11)=66
URGENT: Click on the graph to choose the correct answer to the equation. x > 2
The graph of x >2 is attached below
Clearly, the graph of x> 2 could be area beyond 2 on positive X axis
What is graph?
The graph is a demonstration of curves which gives the relationship between x and y axis.
The question seems to be incomplete, because options are missing.
so the option can be of several graphs.
Thus, The correct Graph of x >2 has been attached below.
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The path of the airplane the astronauts are flying
in can be modeled using the function h(x) =
10000cos(0.0001x) + 20000 in which h indicates
the height in feet. What is the approximate period
of the wave?
Answer:
The approximate period of the wave representing the airplane's path is 0.9 hours.
Step-by-step explanation:
The period of a wave is the time it takes for one complete cycle of the wave to occur. In the case of the airplane's path, this would be the time it takes for the airplane to complete one full oscillation, or "up and down" motion.
To find the period of the wave, we need to determine the value of x that corresponds to one complete cycle of the wave. In this case, the wave is defined by the function h(x) = 10000cos(0.0001x) + 20000.
To find the period, we can use the formula T = 2π/ω, where T is the period, π is the mathematical constant pi, and ω is the angular frequency of the wave. The angular frequency is related to the frequency of the wave, which is the number of cycles per second.
In this case, the angular frequency is given by the coefficient of the x term in the function, which is 0.0001. Plugging this value into the formula above, we get T = 2π/0.0001 = 200000π seconds.
Since one cycle of the wave corresponds to one complete oscillation of the airplane, the period of the wave is approximately 200000π seconds. This is a very large number, so it is usually more useful to express the period in minutes or hours. To convert to minutes, we can divide the period by 60, which gives us a value of about 3334 minutes. To convert to hours, we can divide the period by 3600, which gives us a value of about 0.9 hours.
In summary, the approximate period of the wave representing the airplane's path is 0.9 hours.
Ask me any questions you may have!
The amount of time it takes for a wave to complete one full cycle is known as the wave's period. This would be the amount of time needed for the plane to perform one full oscillation, or “up and down” motion, in the case of the flight path.
What path airplane the astronaut's period of the wave?Finding the value of x that represents the wave's full cycle is necessary to calculate the wave's period. The equation h(x) = 10000cos(0.0001x) + 20000 in this instance defines the wave.
The formula T = 2/, where T is the period, is the mathematical constant pi, and is the wave's angular frequency, can be used to determine the period. The wave's frequency, or the number of cycles per second, and the angular frequency are connected.
We may convert the period to hours by dividing it by 3600, which gives us a number of approximately 0.9 hours.
Therefore, The wave that represents the course of the airplane has an approximate period of 0.9 hours.
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A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation
equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of
advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time.
A. z = -0.52
B. z = -4.17
C. O z = 4.17
D. z = 0.52
The z-score for this amount of advertising time is z = -4.17 so option B is correct.
Given:
Average = 13 minutes
Standard deviation = 1.2 minutes.
Advertising time x = 8 minutes.
z = x - mean / standard deviation.
= 8 - 13/1.2
= -5/1.2
= -5/12/10
= -50/12
= -4.17.
Therefore the z-score for this amount of advertising time is z = -4.17 so option B is correct.
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the line contains the point (-3,5) and is perpendicular to the line y=3x-4
two lines are perpendicular when the multiplication of their slopes is equal to -1. The slope of y = 3x - 4 is 3. Then the slope of a perpendicular line is:
\(\begin{gathered} m\cdot3=-1 \\ m=-\frac{1}{3} \end{gathered}\)Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept. Replacing with point (-3, 5) and m = -1/3, we get:
5 = -1/3(-3) + b
5 = 1+ b
5 - 1 = b
4 = b
Then, the equation is:
y = -1/3x + 4
Determine the coordinates of the midpoint of the segment with given endpoints. J(-3, 2), K(7,10) Midpoint:
which exponential function decreases faster
100(.2661)^t
100(.1593)^t
The exponential function that decreases faster is given as follows:
100(.1593)^t.
How to model an exponential function?A decaying exponential function is modeled as follows:
y = a(1 - r)^x.
In which the parameters are given as follows:
a is the initial value.r is the decay rate, as a decimal.The decay rate of each exponential function in this problem is given as follows:
100(.2661)^t: 1 - r = 0.2661 -> r = 0.7339.100(0.1593)^t: 1 - r = 0.1593 -> r = 0.8407.The function with the higher decay rate is the one that decays faster.
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14. Sort each number of miles and number of hours traveled into the appropriate bin to identify the rate in miles per hour. 6.NS.2 718 miles in 5.95 hours 45.8 miles In 4 hours 2,865 miles in 24.8 hours 419.72 miles in 80.6 hours 935.47 miles in 22.75 hours Las Toan 10 MIO por Hour Between 10 and 99 Miles per Hour Greater Than 100 Miles per Hour
we have
Find the unit rate in each case
so
718/5.95=120.67 miles per hour ---------> greater than 100 miles per hour
45.8/4=11.45 miles per hour ------> between 10 and 96 miles per hour
2,865/24.8=115.52 miles per hour -------> greater than 100 miles per hour
419.72/80.6=5.21 miles per hour ------------> less than 10 miles per hour
935.47/22.75=41.12 miles per hour ------> between 10 and 96 miles per hour
which of the following is not involved in sensory transduction? group of answer choices cones cochlear hair cells merkel's discs rods spiral ganglion cells
Merkel's discs are not involved in sensory transduction.
The process by which sensory receptors in the body translate physical stimuli like light, sound, or pressure into electrical impulses that the brain can understand is known as sensory transduction. This procedure is necessary for recognizing our surroundings and reacting to them.
For example: Cones are specialized cells that are found in the retina of the eye and are in charge of vision in high light and color. They can transform the light of various wavelengths into electrical impulses that are sent to the brain because they are sensitive to light of those wavelengths. Whereas Merkel's discs, are specialized cells found in the skin that are involved in detecting touch and pressure. They do not play a role in sensory transduction.
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The sum of two consecutive even integers is 46. Find the integers.
Answer:
22, 24
Step-by-step explanation:
Hello!
Consecutive integers are integers that come after each other. We want to find two consecutive even integers that when added give us 46.
Let the first consecutive even integer be x. Since even integers come every 2 integers (even, odd, even), the second even integer should be x + 2.
Solve for xx + x + 2 = 462x + 2 = 462x = 44x = 22That means x + 2 should be 24.
The two numbers are 22 and 24.
The area between z = 1.74 and z = 1.25
Round your answer to three decimal places.
Answer:
The area between z = 1.74 and z = 1.25 is of 0.065.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.
The area between z = 1.74 and z = 1.25.
This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.
z = 1.74 has a pvalue of 0.959
z = 1.25 has a pvalue of 0.894
0.959 - 0.894 = 0.065
The area between z = 1.74 and z = 1.25 is of 0.065.
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation:
Which graph represents a function?
Answer:
The question asks us to identify which of the provided graphs represents a function.
A relationship can be called a function only if one x-value corresponds to exactly one y-value.
To know if a relationship is a function from its graph, we can use something called the vertical line test. This is where you draw (or imagine) a vertical line going through the graph. If the line touches the curve exactly once, it passes the test and is a function.
In this question, for the first option, if we imagine a vertical line going through the graph, we can see that it touches the graph continuously at x = 1. Therefore, it is not a function.
Similarly, for the second and third options, the vertical lines would touch the graph twice. Therefore, they aren't functions either.
Finally, for the last option, we can see that a vertical line would touch the graph exactly once at every value of x. Therefore, it is a function.
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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n/4=6/8 n*8=4* equals what
Answer:
n/4=6n=4
Step-by-step explanation:
Write the trinomial in factored form (as the product of two binomials)
x^2 -3x -18
Answer:
(x+2) (x+1)
Step-by-step explanation:
Answer:
( x + 3 )(x - 6)
Step-by-step explanation:
if you factor x2−3x−18
x2−3x−18
The middle number is -3 and the last number is -18.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -3
Multiply together to get -18
Can you think of the two numbers?
Try 3 and -6:
3+-6 = -3
3*-6 = -18
Fill in the blanks in
(x+_)(x+_)
with 3 and -6 to get...
(x+3)(x-6)
$15,000 is invested for 6 months at an annual simple interest rate of 2%.
(a) How much interest will be earned?
(b) What is the future value of the investment after 6 months?
Step-by-step explanation:
u find 2 percent of 15000 which is 2/100×15000 to find the annual interest then divide it by 2 to find 6 months 300 is the yearly interest so 6 months will be 150
(b) here u add the 150 gotten from a to 15000 giving u 15150
10.8 angle relationships & triangles
∠M and ∠N are supplementary and m∠M = 37°
. If m∠N = (13x)°
, what is the value of x and the m∠N?
Answer: x = 50, m∠N = 50°
Step-by-step explanation:
x = 50, m∠N = 50°
Since ∠M and ∠N are supplementary, the two angles add up to 180°. Therefore, m∠N = 180° - 37° = 143°. Because m∠N = 13x, we can solve for x by dividing both sides by 13, which gives x = 50. Therefore, m∠N = 13x = 13(50) = 50°.
A farmer is looking at his tractor at the other end of his field. Assume the field is mapped onto the coordinate plane as shown in the graph. What is the exact distance from the farmer to his tractor?
Question 5 options:
A)
units
B)
units
C)
units
D)
units
The distance of the farmer to the tractor would be gotten by subtracting the coordinate of the farmer from that of the point of the tractor.
What is distance?The definition of distance in mathematics is the shortest space that lies between two different points.
Given that the points that the farmer and the tractor are standing on are unspecified, the distance would be point of farmer subtracted from that of the tractor.
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 36 minutes of calls is
$24.24, and the remaining credit after 55 minutes of calls is $21.20. What is the remaining credit after 63 minutes of calls?
The remaining credit after 63 minutes of calls is $19.92.
What is the remaining credit after 63 minutes of calls?From the information illustrated, the remaining credit after 36 minutes of calls is $24.24, and the remaining credit after 55 minutes of calls is $21.20.
The rate will be:
= (24.24 - 21.20) / (55 - 36)
= 3.04 / 19
= 0.16
The remaining credit after 63 minutes of calls will be:
= $21.20 - ((63 - 55) × $0.16)
= $21.20 - $1.28
= $19.92
The credit is $19.92.
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find the area of the kite
Answer:
396
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation: