Answers
Step-by-step explanation:
2,
[tex](a.y^{3} +3y^{2} -3 ) = (ay^{2} +(4a+3)y +4(4a+3))(y-4) +64a+45[/tex]
so A = 64a +45
([tex]2y^{3} -5y+a =(2y^{2} +8y +27)(y-4) +108 +a[/tex]
so B = 108 +a
2A-B=0--> 2(64a+45)-108-a=0--> a =18/127
3,
(3x+2y)^3 = 27x^3 +54x^2.y + 36x.y^2 +8y^3 = 27x^3 +8y^3 +2 +18xy(3x +2y) = 20^3
so P = 27x^3 +8y^3 = 20^3 - 18.xy(3x+2y)= 7440
Related Questions
quadratics helppp plzzzz
Answers
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
Please answer this question now fast in two minutes
Answers
Answer:
114
Step-by-step explanation:
because the lines are parallel, these 2 angles are corresponding.
Hope this helps! :D
Answer:
m<TSU is also 114°
Step-by-step explanation:
they are congruent
In 15 words or fewer, describe what happens to the coordinates when
a graph is stretched vertically.
Answers
Answer: The graph becomes narrower
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
|a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1(h. k) represents the vertexA vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
Please help me ima give BRAINLIST
Answers
Answer:
53
Step-by-step explanation:
We know the first term and common difference so we can write the explicit formula. The formula is:
aₙ = a₁ + (n - 1)d
aₙ = 8 + (n - 1) * 3
aₙ = 3n + 5
This means that a₁₆ = 3 * 16 + 5 = 53
by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,
A16=A1 + (n-1) d
A16=8 + (16-1) (3)
A16 = 53
I hope I helped! Be safe!
On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? I need this speedy
Answers
Answer:the variation is 5
Step-by-step explanation:
Answer:
5 on edg
Step-by-step explanation:
WILL GIVE BRAINILEST!! Find the first 5 terms of the sequence. Then, find the common difference.
Arithmetic: -6250, ..., ..., ..., -10
Geometric: -6250, ..., ..., ..., -10
Answers
Step-by-step explanation:
arithmetic:
common difference:
[tex] \frac{ - 10 - ( - 6250)}{4} = 1560[/tex]
sequence is:
-6250,-4690,-3130,-1570,-10
geometric:
common difference:
[tex] \sqrt[4]{ \frac{ - 10}{ - 6250} } = \frac{1}{5} [/tex]
sequence is:
-6250,-1250,-250,-50,-10
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band Find the probability that a student chosen at random is in the choir or band or both
Answers
Answer:
29/45 ≈ 0.644
Step-by-step explanation:
There are 450 students in total
110-60=50 students are only in the choir
240-60=180 students are only in the band
60 students are in both
160 students are neither in the band nor in the choir
So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644
Explain how the following ordered pairs represent or doesn't represent a function - {(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)} a. For every x value there is one y value - not a function c. For every y value, there is one x value - function b. For every x value, there is only one y value - a function d. For every y value, there is one x value - not a function
Answers
Answer:
b. For every x value, there is only one y value - a function
Step-by-step explanation:
If any x-value is repeated, the relation is not a function. The above answer choice explains that.
Identify the center and radius of each. Then sketch the graph.
x^2 + y^2 =45
Answers
Answer:
centre: (0, 0)
radius: 3√5 ≈ 6.71
Step-by-step explanation:
The equation of a circle is denoted by:
[tex](x-x_1)^2 +(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius
Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).
We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.
Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.
~ an aesthetics lover
Your mom about a multi-pack of hot fries from Sam's Club last week. When you got home from school your brother and his friends has eaten 1/6 of the bags. By the end of the week your family had eaten 50% of what was left. There were 30 bags of hot fries left in the Box how many were in the box to begin with
Answers
Answer:
Ans is 72 bags!!
Step-by-step explanation:
Call the original number of bags, B
After 1/6 of these were eaten, there were B - (1/6)B = (5/6)B left
After 50% of these were eaten.....there were (1/2)(5/6)B = (5/12)B left
And this = 30
So
(5/12)B = 30 multiply both sides by 12/5
B = 30(12/5)
B = 360 / 5
B = 72
Hope it helped
Tysm
Mark me BRAINLIEST!
If the area of the trapezoid below is 75 square units, what is the value of x?
A. 12 units
B. 6 units
C. 1.5 units
D 3 units
Answers
Answer:
area of trapezoid= 1/2 × ( a + b ) × high
75cm² = 1/2 × (8+17) × h
75. = 1/2 × 25 × h
75. = 12,5 × h
75. = 12,5h
h = 75 ÷ 12,5
h. = 6 ( B )
please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Answers
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
Complete the solution of the equation. Find the
value of y when x equals -19.
2x - 5y = -28
Enter the correct answer.
ODO
DONE
Clear all
Answers
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
Answer:
2x - 5y = -28
when x = - 19
Substitute the value of x into the equation
That's
2(-19) - 5y = -28
-38 - 5y = -28
-5y = -28 + 38
-5y = 10
Divide both sides by - 5
We get
y = 10/-5
y = -2
Hope this helps
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answers
Answer:
Step-by-step explanation:
[tex]\frac{-3}{5}*17\frac{5}{6}=\frac{-3}{5}*\frac{107}{6}\\\\=\frac{-1*107}{5*2}\\\\=\frac{-107}{10}\\\\=-10\frac{7}{10}[/tex]
Answer:
-9
Step-by-step explanation:
don't have one
simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]
Answers
Answer:
[tex]\dfrac{2xy+x}{3y+2}[/tex]
Step-by-step explanation:
Factor numerator and denominator and cancel common factors.
[tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]
An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and Fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes this situation.
Answers
Answer:
x + y = 1000x ≥ 100y ≥ 300Step-by-step explanation:
Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...
x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets
x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels
y ≥ 300 . . . . . . . . . Fort Wayne needs at least 300 bushels
Answer: x + y = 1000 This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )
x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels
y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels
Step-by-step explanation:
The distribution could be anything within the darkest shaded area in the attached graph.
For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.
Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 150 160 170 180 190 200 210 220 230 240 250 260 270 [infinity] −[infinity] 262 160 175 214 225 Weight (in pounds)
Answers
Answer:
The interquartile range of the players' weights = 48 pounds.
Step-by-step explanation:
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
Hope this Helps!!!
Circle O has a circumference of approximately 250 pi ft.
What is the approximate length of the diameter, d?
O 40 ft
80 ft
0 125 ft
d
250 ft
Answers
Answer:
(D)250 ft
Step-by-step explanation:
Circumference of Circle O [tex]= 250\pi ft[/tex]
For a circle of diameter d, Circumference = [tex]\pi d[/tex]
Therefore:
[tex]\pi d = 250 \pi\\d \approx 250$ ft[/tex]
The approximate length of the diameter, d is 250 ft.
The correct option is D.
PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD
Answers
Answer:
[tex]\boxed{105}[/tex]
Step-by-step explanation:
∠DAB = ∠BAC = 105 degrees
This is because opposite angles of a parallelogram are congruent.
Answer:
105
Step-by-step explanation:
∠DAB = ∠BAC = 105
A simple random sample of 48 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.23 and the sample standard deviation is 0.56. Use a 0.01 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?
Answers
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≤ 5.4
For the alternative hypothesis,
H1: µ > 5.4
This is a right tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 48
Degrees of freedom, df = n - 1 = 48 - 1 = 47
t = (x - µ)/(s/√n)
Where
x = sample mean = 5.23
µ = population mean = 5.4
s = samples standard deviation = 0.56
t = (5.23 - 5.4)/(0.56/√48) = 2.1
We would determine the p value using the t test calculator. It becomes
p = 0.021
Since alpha, 0.01 < the p value, 0.021, then we would fail to reject the null hypothesis. Therefore, At a 1% level of significance, there is no significant evidence that the mean red blood cell count of each person is greater than 5.4 cells per microliter.
Since 5.4 is the upper limit, it means that result of the sample group is acceptable.
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Answers
Answer:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
Answer:
3x^2 -2x -3
Step-by-step explanation:
Combine like terms
3-4x+8x^2-6+2x-5x^2
Put the numbers that are squared in the front
8x^2 -5x^2 =3x^2
Put the numbers with x only next
-4x + 2x= -2x
Then the normal numbers
3-6=-3
Put them together in simplified form of the equation
Thus your answer is 3x^2 - 2x -3
Hope this helps please mark brainliest!
Can any one help me in this please if you can I really need help please help me thank you
Answers
this my first time to ues this app the answer is right, hope you got it
A
a
29
20
С
B
21
Find tan(a) in the triangle.
Answers
Answer:
21/20.
Step-by-step explanation:
tan α = opposite side / adjacent side
= 21/20
Will give high vote and brainliest!! Just make sure to put the CORRECT answer <3 (the one i clicked is wrong)
Answers
Answer:
1.2x10^13
Step-by-step explanation:
Trillion=1x10^12
12 trillion=12x10^12
12 trillion=1.2x10^13
ITUTUS
Every day a school bus driver passes the same traffic light twice, once before school and once after.
Each time he passes the light, he records if it is red, green, or yellow.
Here is a summary of the data he got after 150 days.
Traffic light
before school
Traffic light
after school
Number of days
red
red
13
red
green
17
red
yellow
23
green
red I
11
green
green
10
green
yellow
17
yellow
red
24
yellow
green
21
yellow
yellow
14
Suppose the driver will continue recording the colors for 50 more days.
In how many of these 50 days will the light be yellow at least once? Use the data to make a prediction.
Х
$
?
Answers
Answer:
Step-by-step explanation:
If the smallest angle of rotation for a regular polygon is 10", how many sides does polygon have?
10
12
20
Answers
Answer:
Total number of side of regular polygon = 36
Step-by-step explanation:
Given:
Angle of rotation (regular polygon) = 10°
Find:
Total number of side of regular polygon
Computation:
Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)
Total number of side of regular polygon = 360° / 10°
Total number of side of regular polygon = 36
Steve washed 15 cars in 3 hours. How many cars can he wash in 7 hours?
Answers
Answer:35 cars in 7 hours.
Step-by-step explanation:15/3=5 per hour. 5x7=35.
Answer:
35 cars in 7 hrs
Step-by-step explanation:
Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.
In 7 hrs he can wash
5 cars
---------- * 7 hrs = 35 cars in 7 hrs
hr
PLZ HELP! PLZ EXPLAIN
Answers
Answer:
H. 48
Step-by-step explanation:
Let p represent the number of coins Pamela has. Then 3p is the number Samantha has. After 6 days of adding coins, we have ...
2(p +3·6) = 3p +2·6
2p +36 = 3p +12
24 = p . . . . Pamela has 24 coins; Samantha has 72.
Now, we can find the number of days (d) before the coin count is the same.
24 +3d = 72 +2d . . . . coin counts are the same after d days
d = 48 . . . . . subtract 24+2d
In 48 days from now, Pamela and Samantha will have the same number of coins.
Which linear inequality is represented by the graph?
Answers
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.
And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,
So we can cross out answer choices C. and D.
And the slope is 1/2 because that’s how far away each points are from each other.
So the inequality is y ≤ 1/2x + 3
Look at the image below.
Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, she had 138 left. How many flowers were in each bunch
Answers
Answer:
8 flowers in each bunch
Step-by-step explanation:
From this information, we can make the equation:
[tex]23b-46=138[/tex]
Where [tex]b[/tex] is the number of flower in each bunch.
[tex]23b-46=138[/tex]
Add 46 to both sides
[tex]23b=184[/tex]
Divide both sides by 23
[tex]b=8[/tex]
There are 8 flowers in each bunch.
Answer:8
Step-by-step explanation: