Question has errors in typing that 572 should be √57/2
Because if it's 572 then 2a=1 so
a=1/2Also
-7=1/2bb=-7(2)b=-14c also comes different
If it's like what I said
then
2a=2a=1and
-b=-7b=7By putting values
c=-2Option B can be correct
Answer:
B: a = 1, b= 7, c = -2
Step-by-step explanation:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Given:
[tex]x=\dfrac{-7\pm\sqrt{57}}{2}[/tex]
Comparing the terms of the given x-value with those of the quadratic formula:
[tex]\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}[/tex]
Therefore:
[tex]2a=2 \implies a=1[/tex][tex]b = 7[/tex][tex]b^2-4ac=57[/tex]Using the found values of a and b to solve for c:
[tex]\implies b^2-4ac=57[/tex]
[tex]\implies (7)^2-4(1)c=57[/tex]
[tex]\implies 49-4c=57[/tex]
[tex]\implies -4c=57-49[/tex]
[tex]\implies -4c=8[/tex]
[tex]\implies c=-2[/tex]
In summary: a = 1, b = 7, c = -2
[tex]\implies x^2+7x-2=0[/tex]
Therefore, option B is the correct solution.
please help meeee, much appreciated!!!!!!
Answer:
expected value is $4.5
Step-by-step explanation:
expected value is $4.5
In a word game, 1 letter is worth 1 point. this dot plot shows the scores for 20 common words.what is the median score? pointswhat is the first quartile (q1)?
points
what is the third quartile (q3)?
points
what is the interquartile range (iqr)?
The median is 6.5.
The first quartile is 5.
The third quartile is 8.
The interquartile range is 3.
What are the statistics of the data plot?The numbers in the dot plot are: 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 22
Median is the number in the middle of the dataset.
Median = 1/2 ( n + 1)
1/2 x 21 = 11.5th number = (6+ 7) / 2 = 6.5
First quartile = 1/4 x (n + 1)
1/4 x 21 = 5.25th number = 5
Third quartile = 3/4 x (n + 1)
3/4 x 21 = 15.75th number = 8
Interquartile range = 8 - 5 = 3
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Given the graph, which coordinate point is NOT a solution?
Answer: (1, 2) (The third option)
Step-by-step explanation: A solution has to be on the line. (1, 2) is the only point that isn't on the line.
Find the value of x
and/or y in OA.
Can anyone please answer (show solution)
Answer:
x = 97
y = 83
Step-by-step explanation:
y = 83 (being the vertically opposite angle )
y + x = 180 (being co-interior angle)
or,
83 + x = 180
or,
x = 180 - 83
.•. x = 97
A function and its inverse are shown on the same graph. Complete the sentences to compare the functions.
The y-intercept of f(x) has the same value as the ___
f(x)
The function(x) has a range including all values
greater than or equal to 0; therefore the, ____ does also.
The y-intercept of f(x) has the same value as the x-intercept. The function f⁻¹(x) has a range including all values greater than or equal to 0; function f(x) does also.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
A function and its inverse are shown on the same graph.
Complete the sentences to compare the functions.
The y-intercept of f(x) has the same value as the x-intercept.
The function f⁻¹(x) has a range including all values greater than or equal to 0; function f(x) does also.
More about the function link is given below.
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What values of c and d make the equation true? Assume x>0 and 20.
3
50x6y³ 5y √√2y
=
O c = 1, d = 3
O c = 1, d = 9
O c = 2, d = 8
O c = 2, d = 9
Answer:
c=1 and c=3
Step-by-step explanation:
If x>0 and y>0, then
\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.
9x
8
50x
6
y
3
=
9x
2
25⋅2y
2
⋅y
=
3x
5y
2y
.
If
\dfrac{5y\sqrt{2y}}{3x}
3x
5y
2y
is equal to
\dfrac{5y^c\sqrt{2y}}{dx},
dx
5y
c
2y
,
then
\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}
y=y
c
⇒c=1,
3x=dx⇒d=3.
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below:
Gymnastic Scores
Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2
Based on the table, what is the mean gymnastic score? (1 point)
2.5
3.5
5.2
9.4
Answer:
B. 3.5
Step-by-step explanation:
I believe this is correct :')
given set P={3,6,9}.How many subset can be formed
Answer:
8
Step-by-step explanation:
[tex]P = \{3,6,9\}\\\\\text{Number of elements,}~ n = 3\\\\\text{Number of subset} = 2^n = 2^3 = 8[/tex]
the sum of the exterior angles of a pentagon equals what
Answer:
360 degrees
Step-by-step explanation:
The sum of the INTERior angles of a pentagon equal
(n-2)(180) = 540
each angle is then 540/5 = 108
each is a supplementary angle to the exterior angle
so EACH exterior angle is 180 - 108 = 72
there are 5 of these 5 * 72 = 360 degrees
5x^1/2
-----------
3x^1/2 -4
Solve this and ill give brainly
Answer:
(5√x) / [(3√x)-4]
Step-by-step explanation:
You cannot solve this because 5, 3, and 4 are not factors/multiples of one another
I simplified it though
when the exponent is 1/2, it is the same as taking the square root of something
5x^1/2 is the same as 5√x
3x^1/2 is the same as 3√x
I also need help in this..
Answer:
(12x12)+(12x8)+(12x12)=
Step-by-step explanation:
add that up on ur calculator for the answer
If x = 2.5, 5c = ? (Only I put decimals such as 12.7 as the answer).
Answer:
12.5
Step-by-step explanation:
x = 2.5, 5x = ?
5(2.5) = 5 x 2.5 = 12.5
We can use radicals if needed, and we need to simply.
Answer:
x = √41 which is 6.40 to the nearest hundredth.
Step-by-step explanation:
x^2 = 4^2 + 5^2 (By the Pythagoras theorem)
x^2 = 16 + 25 = 41
x = √41.
A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent?
Answer:
x=2
9+2=11
6+2=8
8x11+88
Step-by-step explanation:
If 4 more than twice a number is 8 less than three times the same number, what is the number?
[tex]\text{Let the number be x.}\\\\\text{According to the condition,}\\\\~~~~~4+2x=3x-8\\\\\implies 3x-2x = 4+8\\\\\implies x = 12\\\\\text{Hence, the number is 12.}[/tex]
You have just invested 1,500 into a stock compounded yearly at a rate of 9%. How much money will be in your account in 60 days? (Please explain)
Answer:
1522.584
Step-by-step explanation:
1500(1+.09/12)^2=1522.584
The probability that a morning bus arrives on time is 65%.
a Draw a tree diagram showing all the possible outcomes for three
consecutive mornings.
The attached diagram represents the tree diagram for three consecutive mornings.
How to draw the tree diagram?The probability of arriving on time is given as:
P(On Time) = 65%
Assume that the bus would definitely show up.
Then it means that the event is a binomial event and the possible outcomes are:
On Time and Late
The above means that the number of possible outcomes is 2.
For three consecutive mornings, the total outcome is:
Total = 2³
Evaluate
Total = 8
This means that the tree diagram would have 8 outcomes
Next, we draw the tree diagram (see attachment)
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What is the value of 5x+3 when x = 4?
09
O 12
23
O 60
Answer:
you do 5 multiplied by 4 and plus 3 I hope this helps
What is the formula for the nth term of the sequence 2,4,8,16,32
Answer:
Below in bold.
Step-by-step explanation:
4/2 = 2
8/4 = 2
Each term is obtained by multiplying the previous one by 2.
This is a geometric sequence with common ratio r = 2
the nth term
= a1r^(n-1) where a1 = the first term
= 2(2)^(n-1).
[tex] a_{n} = 2_{n}[/tex]
Step-by-step explanation:
[tex]a_{1} = 2[/tex]
[tex]d = a_{2} - a_{1}[/tex]
[tex] = 4 - 2 = > 2[/tex]
Getting the nth term
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
[tex] a_{n} = 2 + (n - 1)2[/tex]
[tex] a_{n} = 2 + (2n - 2)[/tex]
[tex]a_{n} = 2 + 2n - 2[/tex]
[tex] a_{n} = 2n[/tex]
what land is under muslim rule
Answer:
Under Islamic law, land ownership is classified into two main categories, frrstly, according to the mode of acquisition or how land came into the possession and ownership of the individual and secondly according to the type of taxation.
Answer:
Are you Muslim I think Pakistan or Saudi
Please help me thanks!!!
Problem 9
r+h = 9
SA = 2*pi*r^2 + 2*pi*r*h = 54pi
2*pi*r^2 + 2*pi*r*h = 54pi
2pi*r(r + h) = 54pi
r(r+h) = 27
r(9) = 27
9r = 27
r = 27/9
r = 3
r+h = 9
h = 9-r
h = 9-3
h = 6
Answers: r = 3 and h = 6 are the radius and height respectively.
==========================================================
Problem 10
d = diameter = 68 mm
r = radius = d/2 = 68/2 = 34 mm
SA = surface area of a sphere
SA = 4*pi*r^2
SA = 4*pi*34^2
SA = 4264pi
Answer: 4264pi square mm
==========================================================
Problem 11
Plug V = 3000 into the sphere volume formula and isolate r.
V = (4/3)pi*r^3
3000 = (4/3)pi*r^3
(4/3)pi*r^3 = 3000
4pi*r^3 = 3*3000
4pi*r^3 = 9000
r^3 = 9000/(4pi)
r = cube root( 9000/(4pi) )
r = ( 9000/(4pi) )^(1/3)
r = 8.947002 approximately
Now we can determine the surface area of this sphere.
SA = 4pi*r^2
SA = 4*pi*( 8.947002 )^2
SA = 1005.923451
Answer: 1005.923451 square feet approximately
==========================================================
Problem 12
We'll follow the same idea as problem 11, but in reverse.
SA = 4*pi*r^2
400pi = 4pi*r^2
r^2 = (400pi)/(4pi)
r^2 = 100
r = sqrt(100)
r = 10
Luckily we get a nice whole number for the radius r. Use it to find the volume.
V = (4/3)*pi*r^3
V = (4/3)*pi*10^3
V = (4000/3)pi
Answer: (4000/3)pi cubic inches exactly
==========================================================
Problem 13
The diagram is missing. I don't have enough info to be able to answer.
Windborn company has 20,000 shares of cumulative preferred 2% stock, $150 par and 50,000 shares of $25 par common stock. the following amounts were distributed as dividends:
20y1 $120,000
20y2 24,000
20y3 180,000
determine the dividends per share for preferred and common stock for each year. round all answers to two decimal places. if an answer is zero, enter '0'.
preferred stock common stock
(dividends per share) (dividends per share)
20y1
20y2
20y3
Based on the preferred dividends, the dividends for preferred and common stock in each year are:
Preferred stock dividends:
20y1 - $3.00 per share.20y2 - $1.20 per share.20y3 - $4.80 per share.Common stock dividends:
20y1 - $1.20 per share.20y2 - $0 per share.20y3 - $1.68 per share.What are the preferred dividends?Preferred shares have a specific dividend, and as these are cumulative shares, the dividends that are not paid in one year, will be paid in the next.
Dividends per year:
= 20,000 x 2% x 150
= $60,000
20y1 dividend per share:
= 60,000 / 20,000
= $3.00 per share
20y2 dividend per share:
= 24,000 / 20,000
= $1.20 per share
20y3 dividend per share:
The remaining dividend from 20y2 will have to be paid here:
= (60,000 + (60,000 - 24,000)) / 20,000
= 96,000 / 20,000
= $4.80 per share
What are the common dividends?Preferred dividends are paid first:
Common dividends are:
= (Amount distributed as dividends - Preferred dividends) / Number of common shares
In 20y1:
= (120,000 - 60,000) / 50,000
= $1.20
In 20y2:
= (45,000 - 45,000) / 50,000
= $0 per share
In 20y3:
= (180,000 - 96,000) / 50,000
= $1.68 per share.
Find out more on preferred dividends at https://brainly.com/question/1416151.
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. Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Please help me with this question
which system of equations shown below could be used to solve the following problem?
the sum of m and n is 32, and the value of m is three times the value of n. What is the value of n?
An equation is formed of two equal expressions. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given statement in the form of equations can be written as,
1. The sum of m and n is 32 ⇒ m + n = 32
2. The value of m is three times the value of n ⇒ m=3n
Hence, the correct option is C.
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x/9+3<4 what is the solution to the ineqaulity
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the solution to the inequality:
[tex]\star~\large\pmb{\cfrac{x}{9}+3 < 4}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
First, subtract 3 from both sides, then multiply both sides by the denominator.Step 1.
[tex]\star~\large\pmb{\cfrac{x}{9} < 4-3}[/tex]
[tex]\star~\large\pmb{\cfrac{x}{9} < 1}[/tex]
Step 2.
[tex]\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}[/tex]
Notice that on the left, the 9s cancel, and we're left with x.
Step 3.
[tex]\star~\large\pmb{x < 9}[/tex]
This is the solution.
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Answer:
x < 9
Step-by-step explanation:
Given:
[tex]\dfrac{x}{9} + 3 < 4[/tex]
1. Subtract 3 from both sides of the inequality
[tex]\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1[/tex]
2. Multiply both sides of the inequality by 9
[tex]9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9[/tex]
Learn more about finding the solution of an inequality:
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√(2-x)-√(1-4x)=1
solve for x
Answer:
decimal form; 0.22222...
exact form; 2/9
Step-by-step explanation:
2x(2x-3)-3x(x-2) need help on this
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \:2x(2x - 3) - 3x(x - 2)[/tex]
[tex]\qquad \sf \dashrightarrow \:(2x \sdot2x) - (2x \sdot3) - (3x \sdot x) - (3x \sdot - 2)[/tex]
[tex]\qquad \sf \dashrightarrow \: 4 {x}^{2} - 6x- 3 {x}^{2} - ( - 6x)[/tex]
[tex]\qquad \sf \dashrightarrow \:4 {x}^{2} - 3 {x}^{2} - 6x + 6x[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} [/tex]
I hope the Step were clear to you ~
Answer:
x²
Step-by-step explanation:
Given: 2x(2x - 3) - 3x(x - 2)
Distributive Property: a(b + c) = ab + ac
1. Distribute
⇒ 2x(2x) + 2x(-3) + -3x(x) + -3x(-2)
⇒ 4x² - 6x - 3x² + 6x
2. Combine like terms
⇒ 4x² - 3x² - 6x + 6x
⇒ x²
Learn more about the distributive property here:
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The count in a bacteria culture was 400 after 10 minutes and 1300 after 40 minutes. Asumming the count grows exponentially
-What was the initial size culture?
-Find the doubling period
-Find the population after 120 minutes
-When will the population reach 10000?
Decrease £40 by 25%
(Hegarty maths)
Answer:
the answer to your question is 10
Step-by-step explanation:
if you divide 40 by 25% then you will get 10