Answer:
(-2,0) and (1,0)
Hope this helps!
prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n
Answer:
Proved
Step-by-step explanation:
Given
[tex](n+5)^2-(n+3)^2[/tex]
Required
Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4
Expand each bracket
[tex](n+5)(n+5)-(n+3)(n+3)[/tex]
Open brackets
[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]
[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]
Open bracket
[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]
Collect Like Terms
[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]
[tex]- 6n + 10n + 25 - 9[/tex]
[tex]4n + 25 - 9[/tex]
[tex]4n + 16[/tex]
Factorize
[tex]4(n + 4)[/tex]
Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]
There are 96 diners in a restaurant. If 3/8 of the diner are children, what fraction of
the diners are adults? How many adults is that?
There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?
Answer:
2 oranges
Step-by-step explanation:
Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.
Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges
The following statement is a good definition of...
Answer:
It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table
For the image above which action below allows the scale to be balanced
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
If a pound of turkey costs $0.82, how much will n pounds cost?
A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?
Answer:
Step-by-step explanation:
From the given information:
For X to be valid, the possible values of X should be greater than zero i.e. X > 0
If X obeys a lognormal distribution
Then; Y = In X
So,
Now,
[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]
[tex]E(X) = 1.8913[/tex]
Also;
[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]
V(X) = 2.7387
∴
SD(X) = 1.6549
[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]
= 0.108
I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333
Answer:
In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.
Solution:
Here the sum of the four angles
or, ∠A + ∠B + ∠C + ∠D = 360°
We know, ∠A = 100°, ∠B = 105° and ∠C = 70°
or, 100° + 105° + 70° + ∠D = 360°
or, 275° + ∠D = 360°
∠D = 360° - 275°
Therefore, = 85°
i hope this was helpful. <3
crown?
You are playing the game "Hidden Treasure" and your hint is that the treasure is 9 spaces away from the point (0, 0). Which of the following points could contain the treasure?
Answer:
(9, 0)
(-9, 0)
(0, 9)
(0, -9)
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answer:
n - 8 ≥ 10
Step-by-step explanation:
8 less than a number would be n - 8. At least means greater than or equal to so the answer is n - 8 ≥ 10.
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2
Answer:
First always the positive is greater than the negative
Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2
1/2=0.5
21/2=10.5
11/2=5.5
Then from lowest to greatest
-1/2,1/2,2,11/2,21/2
I hope you understand
What is the factored form of the expression x2−4x ?
The factored form of the expression x² - 4x is,
⇒ x (x - 4)
We have to given that,
To find the factored form of the expression x² - 4x.
We can find the factored form as,
⇒ x² - 4x
Take x as common,
⇒ x (x - 4)
Therefore, The factored form of the expression x² - 4x is,
⇒ x (x - 4)
Learn more aboput the multiplication visit:
brainly.com/question/10873737
#SPJ6
Determine the approximate value of side A.
Answer:
A should be 40 if not sorry
Step-by-step explanation:
Answer:
40 is da right answer,you will see little william
Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch
How do I solve this
Answer:
Step-by-step explanation:
I'm sorry forgot how to exactly solve it
Scenario: Multiplying Polynomials
Instructions:
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures
Emily and Zach have two different polynomials to multiply:
Polynomial product A:
(4x2 – 4x)(x2 – 4) Polynomial product B:
(x2 + x – 2)(4x2 – 8x)
They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
Emily
Zach
Evaluating the Conjectures
Who do you think is correct? (1 point)
Analyzing the Data
Table Method:
2. Use the table to find the products of the two polynomials. Write your answer in descending order. (4 points: 2 points for each product)
A) (4x2 – 4x)(x2 – 4)
4x2 –4x
x2
–4
B) (x2 + x – 2)(4x2 – 8x)
there's another part on my profile, can u do it to please!!
Answer: there's one more screen shot but the limit is 5... so ill type it out!
7. Are the two products the same when you multiply them vertically? (1 point)
Yes they are
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
They were both correct
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
I prefer the first one, Table method. To me it is easier and the fastest out of them all.
I need help with math pls
The answer is 6
Explanation:
34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14
The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator
Answer:
$464Step-by-step explanation:
Let the cos be x, then selling price is:
x + 5% = x*1.05 = 1.05xWe have the selling price $487.20
1.05x = 487.20x = 487.20/1.05x = 464Cost price is $464
Solve the system by substitution.
3r + y = 5
5x – 4y = -3
The solution is?
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
Answer:
The answer is "10159"
Step-by-step explanation:
Every 3 hours the population doubles, with an initial population of 100.
[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]
[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]
when t=20
[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]
[tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]
A bag contains cards numbered 1-5.
There is only one card for each number in the
bag. A card is selected at random. Then a
second card is selected, without replacing the
first card. Create a list of the possible
outcomes for the card selections
8x + y = 17
5x + 5y = –20
Answer:
X=3 Y=-7
Step-by-step explanation:
You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x
Then substitute y in the bottom equation for the y solved in the top. So,
5x + 5(17-8x) = -20
Then solve for x
x=3
Now that we know x, plug it back into the equation for y
y = 17 - 8(3)
y = -7
So your solution is (3, -7)
Answer:
Step-by-step explanation:
40x + 5y = 85
-5x - 5y = 20
35x = 105
x= 3
15 + 5y = -20
5y = -35
y = -7
(3, -7)
pls help me, i’ll give brainly
Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2 [/tex]
Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
plzzz help: The sequence graphed below can be generated using which formula?
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge2021
2) Addisyn has a 12-sided die. If she rolls
the die 250 times, how many times can
Addisyn predict she will roll a 9?
A. about 9 times
B. about 27 times
C. about 21 times
D. about 108 times
Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.
Answer:
The answer seems like it's 400 but i'm not 100% sure.
Step-by-step explanation:
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
