The solution of the equation will be x = - 11/2 ± 5√5/ 2. Then the correct option is D.
What is the solution of the quadratic equation by formula method?The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic equation is given below.
x² + 11x + 121/4 = 125/4
x² + 11x + – 1 = 0
Comparing with the standard equation, we have
a = 1, b = 11, and c = –1
Then the roots of the equation will be
[tex]\rm x = \dfrac{-11\pm \sqrt{11^2 - 4*1*(-1)}}{2*1}\\\\\\\rm x = \dfrac{-11 \pm \sqrt{121 +4}}{2}\\\\\\\rm x = \dfrac{-11\pm \sqrt{125}}{2}\\\\\\x = \dfrac{-11}{2}\pm \dfrac{5\sqrt{5}}{2}[/tex]
Then the correct option is D.
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Answer: C
Step-by-step explanation:
help please, i’ll give brainly
Answer:
36
Step-by-step explanation:
let amount of money for cheese scone be x
plain scone is 3x and fruit scone is 4x add them all up and it is 8x
96/8 is 12
then that means x=12 and plain scone is 12 times 3 which is 36
Solve by linear elimination. 3x+y=-17. 5x-2y=13
Answer:
[tex]3x + y = - 17 - - - eqn(i) \\ 5x - 2y = 13 - - - eqn(ii) \\ by \: elimination \\ (2 \times eqn(i)) + eqn(ii) \\ (6 + 5)x + (2 - 2)y = ( - 34+ 13) \\ 11x = - 21\\ x = - \frac{21}{11} \\ substitute \: for \: x \: in \: eqn(i) \\ - \frac{ 63}{11} + y = - 7 \\ y = - 7 + \frac{63}{11} \\ y = - \frac{ 14}{11} [/tex]
Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:
[tex] = l \times b[/tex]
where l is the length and b is the breadth/width according to the question. Plugging the given values:
[tex] = 110 \times 96 \: {inch}^{2} [/tex]
[tex] = 10560 \: {inch}^{2} [/tex]
Hence:-The area of the wall is 10560 inch²
What is the difference between 3 more than 1/3 and 3
Answer:
Step-by-step explanation:
3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3
Will give the brainliest answer
Answer:
I think it's C, because the figures are similar by THAT statement
During Mr. Sanz’s tutorial class, four students were asked to write a number that is close to zero.
Answer:kathy 0.1. sorry if i am late
Step-by-step explanation:
Someone help me do this please. I included a picture.
Answer:
52° and 128°
Step-by-step explanation:
The sum of the angles in a triangle is 180°
So to find the angles, the easiest thing to do is to use that fact.
There is one angle missing in the triangle shown, so to find it you need to subtract (5x-2)° from 180° since the angle is located on a line.
Simplifying that, you get 180°-(5x-2)°.
Now you can use the fact at the top of these instructions.
So you get the equation: 180°=2x°+76°+180°-(5x-2)°
Solving this equation, you get x=26
Plug x into the values that have x in the picture, and you get 52° and 128°
43. f(g(x)]
44. g h
Express g. f and fog, if they exist, a
46. f = {(2, 1), (3, 4), (6, -2)}
g = {(1,5), (4, -7), (-2, -3)}
48. f = {(0, 2), (1, 1), (3, 3), (4, -1)}
g = {(0, 0), (1, 1), (2, 4), (
Answer:
46. f(g(x)) =doesn't exist
because from the range of g(x) there is none in the domain of f(x)
48.f(g(x)) = {(0,2), (1,1)}
The prime factorizations of 54 and 72 are shown below. Prime factorization of 54: 2, 3, 3, 3 Prime factorization of 72: 2, 2, 2, 3, 3 Using the prime factorizations, what is the greatest common factor of 54 and 72
1.2'3
2. 2' 3'3
3.2'2' 3'3
4.2'2'2'3'3'3
Step-by-step explanation:
54 = 2 * 3³
72 = 2³ * 3²
To find the GCF of 54 and 72,
we find the highest common powers of their prime factors.
Highest common power for 2: 2
Highest common power for 3: 3²
Hence GCF of 54 and 72 = 2 * 3².
The answer is Option 2.
Answer:
b/2'3'3
Step-by-step explanation:
Carol had a previous balance of $557.83 in her checking account. She deposited checks
totaling $882.84, made cash withdrawals of $325.00, and wrote checks totaling
$617.77 that were paid by the bank. She also earned interest of $1.15. What is her
present balance?
(Present Balance = Previous Balance + Deposits - Withdrawals - Service Charges/Fees
+ Interest)
c) $496.75
b) $499.05
a) $2.384.59
d) $1.149.05
Answer:
x^2-4/7x-12/49=0
x= 6/7 and -2/7
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!!!!!!!
The equation m = 32 g represents the average number of miles, m, that a car can go on g gallons of gas. What is the constant of proportionality and what does it represent in this situation?
Answer:
32
Step-by-step explanation:
32 is the constant of proportionality. Its represents thr average number of miles per gallon.
Explain how you can use multiplication to solve a division problem.
Answer:Inverse operation
Step-by-step explanation: an example is 5 x 5. That equals 25 so take 5 and divide that by 5. Inverse operation is important.
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
is this proportional or not?
2) How can 4(3 + 8) be rewritten using the distributive property?
12 + 8
3 +32
12 + 32
43 + 48
Help me out from a through c (geometry/angle bisectors)
Answer:
A) supplementary
B) 148°
C) 50°
Step-by-step explanation:
A) supplementary
B) 180-32=148
C) 90-40=50
If you have 12 donuts for $5.40, what is the cost of one donut
Answer:
0.45
Step-by-step explanation:
you have to divide 5.40 by 12
hereeeeeeeeeeeeeeeeee
Answer: See explanation
Step-by-step explanation:
1. (x + 6)(x - 4)
x (x - 4) + 6 (x - 4)
x² - 4x + 6x - 24
x² + 2x - 24
2. (2x + 5)(x - 3)
2x (x - 3) + 5 (x - 3)
2x² - 6x + 5x - 15
2x² - x - 15
3. (3x + 2)(2x + 5)
3x (2x + 5) + 2 (2x + 5)
6x² + 15x + 4x + 10
6x² + 19x + 10
4. (2x - 1)(x - 5)
2x (x - 5) + -1 (x - 5)
2x² - 10x + -x + 5
2x² - 10x - x + 5
2x² - 11x + 5
Hope that helped!
There are 24 seats in each row of the middle school auditorium.
The table shows the number of students from each grade who
attended a concert. If the students fill each row in the auditorium,
how many rows would be needed for all of the students?
Grade
Number of Students
Sixth
310
Seventh
256
Eighth
262
Answer:
34.5
Step-by-step explanation:
310 +256 +262= 810
810÷24=34.5
As president of the soccer club, Joey had to order pins for the entire club. He knew there were 96 boys in the club, but did not know the number of girls. The coach told him that the ratio of girls to boys was 2:3. How many pins did Joey have to order?
a.
64 pins
c.
144 pins
b.
160 pins
d.
192 pins
Answer:
160 pins
Step-by-step explanation:
then how many inches
10. If 1 inch represents 10 miles on a map,
will represent120 miles?
Answer: 12 inches
Step-by-step explanation: 1:10
10:100
12:120
Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up
helppp nowwww plssss!!!
HURRY PLEASE The top and bottom of a right rectangular prism are 4 inches long and 4 inches wide. What is true about the other faces
(front, back, left, and right)?
All four of the remaining faces will have a helght of 4 inches.
There is not enough information to tell what the other faces will look like.
Two of the remaining faces will be 4 inches wide.
All four of the remaining faces will be 4 inches wide.
Answer:
All four of the remaining faces will be 4 inches wide.Step-by-step explanation:
A right rectangular prism with square base and top with sides of 4 in.
It has four sides of 4 in wide each and of equal height of unknown measure.
Options:
All four of the remaining faces will have a height of 4 inches.
Incorrect, the height is unknown.There is not enough information to tell what the other faces will look like.
Incorrect, all the other faces are rectangular.Two of the remaining faces will be 4 inches wide.
Incorrect, all the faces are 4 in wide.All four of the remaining faces will be 4 inches wide.
Correct.Which equations are correct?
Select each correct answer.
PLEASE HELP
Juan has $67 in $5 and $1 bills. If has 19 bills in all, how many $1 bills does he have?
Juan have 7 bill for $1 bills.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Juan has $67 in $5 and $1 bills.
And, He has 19 bills in all.
Now, Let number of $1 bills = x
And, Number of $5 bills = y
Here, Juan has $67 in $5 and $1 bills.
So, We get;
⇒ x + 5y = 67 .. (i)
And, He has 19 bills in all.
So, We get;
⇒ x + y = 19
⇒ x = 19 - y .. (ii)
Substitute the value of x from (ii) in (i), we get;
⇒ x + 5y = 67
⇒ 19 - y + 5y = 67
⇒ 19 + 4y = 67
⇒ 4y = 67 - 19
⇒ 4y = 48
⇒ y = 12
And, from (ii),
⇒ x = 19 - y
⇒ x = 19 - 12
⇒ x = 7
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simplify the xepression 10(x + 2)
Answer: 10x + 20
Step-by-step explanation:
10 (x + 2)
Distribute
10x + 20
Answer:
10x + 20
Step-by-step explanation:
10(x + 2)
distribute
10 * x + 10 * 2
10x + 10 * 2
10x + 20
20/12, 35/21 do the ratios form a propprtion
Which expression is equivalent to x+0.2x?
1.2x
0.2x2
0.2x
1.02x
Answer:
1.02x
Step-by-step explanation:
Which expression is equivalent to x+0.2x?
1.2x
0.2x2
0.2x
1.02x
the answer is
1x+0.2x = 1.02x
Is it
A.
B.
C.
D.
I really need help .
Enter the number 86.3865 rounded to the nearest hundredth (two decimal places)
Answer:
86.39
Step-by-step explanation:
Answer:
Your answer would be: 86.39
Step-by-step explanation:
Solve the system algebraically.
y = – 4x + 6
y = – 4x + 5
Answer:
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
Step-by-step explanation:
Given the system of equations
y = – 4x + 6
y = – 4x + 5
solving the system of the equations
[tex]\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}[/tex]
Substitute y = -4x+5
[tex]\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}[/tex]
Refine – 4x + 5 = – 4x + 6
-1 = 0
FALSE!
NO SOLUTION!
We conclude that -1 = 0 is false, therefore the system of equations has no solution.