Zero of the polynomial p(x)=(x-4)^ 2 - (x + 4) ^ 2 * is :
Answers
Answer:
\( \tt \: 0 \: is \: the \: zero \:of \: {(x - 4)}^{2} - {(x + 4)}^{2} \\ \)
Step-by-step explanation:
Given polynomial is
\( \tt \: {(x - 4)}^{2} - {(x + 4)}^{2} \\ \)
\( \tt \: = \: (x - 4 + x + 4)(x - 4 - x - 4) \\ \)
\( \tt \: = \: (2x)( - 8) \\ \)
\( \tt \: = \: - 16x \\ \)
\( \tt \: \implies {(x - 4)}^{2} - {(x + 4)}^{2} = \: - 16x \\ \)
To find zeroes of the polynomial, we substitute
\( \tt \: - 16x = 0 \\ \)
\( \tt \: \implies \: x = 0 \\ \)
Related Questions
Two opposite angles of a parallelogram are always
Answers
Answer:
Two opposite angles of a parallelogram are always equal.
Whats the answer y’all
Answers
The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).
What is the Difference of Two Expressions?The difference of two expressions is determined by subtracting one from the other.
Find the difference of each of the expressions given to determine which will give us 5.
-3 - (-8)
= -3 + 8
= 5
-2 - 3 = -5 [this is not the same as 5]
1 - (-4)
= 1 + 4
= 5
7 - (-2)
= 7 + 2
= 9
-3 - (-8) and 1 - (-4) will give us a difference of 5.
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Help thanks 5/6 ÷ 10/21 (show ur work)
Answers
Answer:
7/4
Step-by-step explanation:
5/6 divided by 10/21,
get the reciprocal of 10/21
reciprocal of 10/21=21/10
now.
5/6 x 21/10
5 x 21= 105
6 x 10 = 60
so, 105/60
and the simplest form of 105/60 is 7/4
Can someone help me with this? Right answer gets brainliest!! :)
Answers
I have 2 answers in mind
Answer #1:
\(\frac{y}{z}\)
Step-by-step explanation:
quotient means the answer to 2 things being divided so the quotient of y and z would be \(\frac{y}{z}\) because there is no numerical value.
Answer #2:
1
Step-by-step explanation:
Usually, when a letter is left by itself in an equation it usually has an invisible one in front of it. so when dividing y by z it would equal 1/1 which is equal to one.
Hope this helps :)
Rewriting rational equations, 4 Parts, 25 pts. Please help, thanks!
Answers
Answer:
All parts are attached below :)
Hold line markings at the intersection of taxiways and runways consist of four lines that extend across the width of the taxiway. These lines are
Answers
The four lines that make up the hold line markings at the intersection of taxiways and runways span the whole width of the taxiway, which is the solution.
These lines provide as a visual cue for pilots to hold short of the runway until air traffic control gives permission for takeoff or landing.
The significance of these markers is that they serve as a crucial safety measure intended to stop runway incursions, which happen when a person, vehicle, or aircraft approaches a runway without authorization. Pilots can prevent potentially dangerous accidents with other aircraft or ground vehicles by clearly identifying the area where an aircraft must hold short.
The place where the runway and the taxiway converge is referred to as the "intersection". Markings for hold lines are often found justt prior to this intersection to allow space for pilots to manoeuvre their aircraft and to make sure they are not encroaching on the runway.
In conclusion, hold line markings at the junction of taxiways and runways are an essential safety element that aid in preventing runway intrusions. Four lines that span the width of the taxiway make up these markings, which provide as a visual cue for pilots to hold short of the runway pending clearance from air traffic control.
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answer and get brainliest
Answers
Answer:
b
Step-by-step explanation:
Which number line represents the solutions to -2]x1 = -6?
-8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4 5
6
6
7
8
-8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3 4
5
5
6 7
8
B
-8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3 4
5 6 7
8
-8-7 -6 -5 -4 -3 -2 -1 0
2 3 4
5 6 7
8
8
Answers
Answer
Step-by-step explanation:
B - 8-7-6-5-4-3-2-1-0 234 567 8 8
- 8-7-6-5-4-3-2-1-0 234 567 8 8 is the number line that represents the solutions to -2]x1 = -6. Therefore, the correct option is option B.
What is number line?A number line is a pictorial portrayal of numbers on a straight line. It serves as a guide for comparing and arranging numbers. It can be used to depict any real number, including natural and whole numbers. Comparing numbers becomes simpler when they are written on a number line.
As can be seen from the preceding illustration, the integers on the left are smaller than those on the right. For instance, 0 is under 1, - 1 is under 0, - 2 is not exactly - 1, etc. - 8-7-6-5-4-3-2-1-0 234 567 8 8 is the number line that represents the solutions to -2]x1 = -6.
Therefore, the correct option is option B.
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According to the video above, the geometric object called a(n) ___ has the characteristics that it has one endpoint and extends in away from that endpoint without end.
Answers
They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.
According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.
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find all the solutions of the equation in the interval [0, 2pi)
sin2x-1=0
show work pls
Answers
Answer:
\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)
Step-by-step explanation:
We want to find all solutions to the equation:
\(\displaystyle \sin 2x - 1 = 0\)
In the interval [0, 2π).
First, add one to both sides:
\(\displaystyle \sin 2x = 1\)
Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.
And in this case, u = 2x. Thus:
\(\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}\)
Dividing both sides by two yields:
\(\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}\)
There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:
\(\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}\)
Any other solutions will be outside our interval.
Therefore, our solutions are:
\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)
A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normally distributed. Find the 95% confidence interval for the true mean. $3.60 $4.50 $2.80 $6.30 $2.60 $5.20 $6.75 $4.25 $8.00 $3.00
Answers
The 95% confidence interval that the true mean income for parking meters in the resort community falls between $3.14 and $5.28 per day.
To find the 95% confidence interval for the true mean income of parking meters in the resort community, we can use a t-distribution since our sample size is small (n=10).
First, we need to find the sample mean and standard deviation. The sample mean is simply the average of the incomes:
x = 4.21
The sample standard deviation can be found using the formula:
s = √[ Σ(xi - x)² / (n-1) ]
Now that we have the sample mean and standard deviation, we can use a t-distribution to find the 95% confidence interval. We need to find the t-value with 9 degrees of freedom (n-1), since our sample size is 10.
Using a t-table or calculator, we can find that the t-value with 9 degrees of freedom and a 95% confidence level is approximately 2.262.
The formula for the confidence interval is:
CI = x ± (t-value x s / √n)
Plugging in the values:
CI =($3.14, $5.28)
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5. Josy wrote the following inequality,
x <-3
Which of the following numbers makes Joey's inequality true?
A 3
B. 0
C-1
D. -5
Answers
Answer: D
Explanation: -5 is less than -3
Please help if correct i will mark you BRAINLIEST (Multiple Choice)
Answers
Answer:
a and d
Step-by-step explanation:
it is I took the test
Answer:
A. A student's GPA goes down approximately 1 point for every 10 hours spent playing video games.
Step-by-step explanation:
The line shows that the student's GPA goes down 0.5 every 5 hours of video games played. 0.5:5 is equivalent to 1:10. So A is your answer.
Hope it helps!
The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. Verify your answer.
Answers
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation, \( y = xk \), where k is a constant. Thus,
\( \frac{y}{x} = k \)
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x, \( \frac{0.50}{1} = 0.5 \)
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into \( \frac{y}{x} = k \), should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
\( \frac{y}{x} = k \),
\( \frac{1}{2} = 0.5 \),
When x = 3, y = 1.5:
\( \frac{1.5}{3} = 0.5 \),
When x = 5, y = 2.50:
\(\frac{2.5}{5} = 0.5\),
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
Answer:
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
Step-by-step explanation:
The 2023 population of
Greece is 10,341,277 and is
declining at .42%. What will
the population be in the year
2044?
Answers
As per the statement we can predict the deacresing population that there will be about 9,427,816 people living in Greece in 2044.
How can you calculate the population's cumulative interest?125,000 is the current populace (P).
Rate of growth (R) equals 2% annually. Time (n) equals three years. People three years later = p(1 + R 100) n=125000(1+2100) 3=125000×(5150) 3=125000×5150×5150×5150=13265
Yearly decline:
10,341,277 multiplied by 0.0042 equals 43,454.7314
To calculate the population in 2044, we must deduct from the present population 21 times the annual decline:
People in 2044 equals 9,427,815.8 - (10,341,277 - (21 x 43,454.7314)).
By rounding this to the closest whole number, In 2044, there will be approximately 9,427,816 individuals residing in Greece.
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Identify the domain and range for the continuous graph provided below. Select all that apply for both the domain and range.
i need help
Answers
1. x is greater than or equal to zero
4. Domain: [0, infinity]
7. Y is greater than or equal to zero
I can’t read the 8th line, but for range
Range: [0, infinity]
The domain and the range of a graph, are the possible x and y values of the graph.
The true options are: \(\mathbf{(a) x \ge 0,\ (d) Domain: [0, \infty),\ (g) y \ge 0,\ (i) Range: [0, \infty)}\)
From the graph, we have the following highlights
The graph starts from the origin (0,0)The arrow points in the positive x and y directions.The above highlights mean that: the domain and the range of the graph are 0 to infinity.
Hence, the true options are: (a), (d), (g) and (i)
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Perform the calculation, rounding your answer to the proper number of significant figures. \[ 0.32610 \div 1.830= \] Type answer:
Answers
Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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The function f(x) = x5 + (x + 3)2 is used to create this table. Which value completes the table?
Answers
Answer:it’s 3
Step-by-step explanation: imma big brain
Answer:
3
Step-by-step explanation:
the answer on edge
True or False: If a function crosses an axis at (a,0), this location is known as an x-intercept of the function.
Answers
Answer:
True
Step-by-step explanation:
Given
\(Location: (a,0)\)
Required
Does the location represent the x intercept?
The general point form of a function is (x,y)
When y = 0;
This represents that the function crosses the y axis.
And whenever the function crosses the y axis, we have the x intercept of the function
Hence, the statement is true
The quotient of a number more than 1 and 3 is 5
Answers
Answer:
https://brainly.com/question/13518166
Step-by-step explanation:
Darren wins a coupon for $4 off the lunch special for each of 5 days. He pays $75 for his 5 lunch specials. Write and solve the equation to find the original price p for one lunch special.
Answers
Answer:
19
Step-by-step explanation: (75/5) + 4= p
15+4=p
19=p
The original price for one lunch meal is $19
p = $15 + $4
p = $19
can you give me more information to this question? this doesn't make much sense reply back.
Answers
Answer:
150, 260
Step-by-step explanation:
0 < 9 < 12, so C = 150
20 is in 12 < n ≤ 20, so C = 260
can someone PLEASE help me this is so hardddddd!!!!!
Answers
Answer:
hung DJ JJ JD diffused haha song rust iffy Urdu y'all y'all iffy official I
What is an
equation of the line that passes through the points (-4, -2) and
(-8,3)?
Answers
evaluate x2+x-12÷y2 for x = 5 and y =2
Answers
Answer:
3
Step-by-step explanation:
you measure the angle of elevation from the goround to the top of a building as 32. when you move 50 meters closer to the building, the angle of elecation is 53. what is the height of the building?
Answers
The height of the building from which the angle of elevation is 32 degrees is 127.87m.
The angle of elevation is found to be 32 degrees and when moving 50 closer to the building, the angle of elevation is 53.
Let us say that the height of the building is X.
Now, let us say the distance between the building and the person is Y.
So, we write,
tan(32°) = X/Y
Also, tan(53°) = X/(Y-50)
0.62 = X/Y and 1.32 = X/(Y-50)
0.62Y = 1.32Y - 66
66 = 0.32Y
Y = 206.25 m
Now, we know, X = 206.25m x 0.62
X = 127.87m
So, the height of the building is 127.87m.
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Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Answers
Answer:
7 hours
Step-by-step explanation:
12hrs=1116kms
1hr=1116÷12
1hr=93kms
Xhrs=651kms
Xhrs=(651÷93) ×1
=7×1
=7hrs
U6W3 A1.1.1.5.1 Mastery Check Polynomial Operations April 25 Perform the following operation with the polynomial and pick the correct answer:
(2x-3)(2x+3)
A 4x^2 + 12x - 9
B 4x^2-9
C 4x + 12
d 4x+9
give me an answer asap
Answers
The correct answer of the operation is option B: 4x^2 - 9.
To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:
First: Multiply the first terms of each binomial.
(2x)(2x) = 4x^2
Outer: Multiply the outer terms of each binomial.
(2x)(3) = 6x
Inner: Multiply the inner terms of each binomial.
(-3)(2x) = -6x
Last: Multiply the last terms of each binomial.
(-3)(3) = -9
A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.
Now, let's combine the like terms:
4x^2 + 6x - 6x - 9
Notice that the terms 6x and -6x cancel each other out.
Simplifying further, we have:
4x^2 - 9
The correct answer is option B: 4x^2 - 9.
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we are going to paint the walls in our living room. two walls measure 22 feet by 9 feet and two walls measure 26 feet by 9 ft what is the total wall area that will be painted if a gallon of paint cover 144 square feet how many gallons will we need
Answers
Answer:
You will need 3 gallons and the total square feet is 432.
Step-by-step explanation:
I hope this helps. Have a good day!
william is reading a book thats 50 pages long . he has read 35 pages . what percent oh the book he has read
HELP DUE TODAY