Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
Find 85 - 72 x 4 ÷ 2 (13 - 11)
Answer:
13
Step-by-step explanation:
using BODMAS
13-11=2
SO 2*2=4
4/4=1
1*72=72
THEREFORE it is 85-72 =13
[tex]\huge \dag \sf{Answer \: it}[/tex]
See the question below
Find n, if n is an integer.
[tex] \sqrt[3]{n + \sqrt{ {n}^{2} + 8 } }+ \sqrt[3]{n - \sqrt{ {n}^{2} + 8 } } = 8 \: [/tex]
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The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].
Procedure - Determination of the root of radical functionIn this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.
First, we need to elevate each side of the expression by third power:
[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]
[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]
[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]
[tex]2\cdot n - 6\cdot (8) = 512[/tex]
[tex]n = 280[/tex]
The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]
To learn more on radical functions, we kindly invite to check this verified question: https://brainly.com/question/13430746
Max points i need this for finals
Answer:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]
X = -4 – -2 = -2
Y = 4 – 10 = -6
[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
Can someone help me ? :
Answer:
[tex]\huge\boxed{\sf y = 100.4}[/tex]
Step-by-step explanation:
Given equation is:
53 = y - 47.4
Add 47.4 to both sides
53 + 47.4 = y
100.4 = y
OR
y = 100.4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Hello there!
Question:-[tex]\sf \longmapsto53=y - 47.4[/tex]
This is a equation. We need to find the value of variable y.
Solution:-[tex]\sf \longmapsto53=y- 47.4[/tex]
To Solve further,we need to overturn the equation.
That is :-
[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]
Then, Add +47.4 to two sides:-
[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]
On Simplification:-
Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.
[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]
[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]
Answer as a mixed fraction:-
[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]
Answer as a fraction:-
[tex]\sf\longmapsto 502/5[/tex]
______________________________________
Henceforth, the value of y is :-
[tex]\bf \: y = 100.4[/tex]
Or as a mixed fraction:-
[tex]\bf y = 100\dfrac{2}{5}[/tex]
Or as a fraction:-
[tex]\bf y = 502/5[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 41 represents the total cost. How many of each type of book did you buy?
Answer:
Total number of Hardcover books is TWO while the number of Paperback books is FIVE
Step-by-step explanation:
No. of hardcover book = x
No. of paperback book = y
Cost of one hardcover book = $8
Cost of one paperback book = $5 We are given that:
x+y=7 (Equation 1)
8x+5y=41 (Equation 2)
We can find out value of x and y by solving both equations simultaneously.
Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE
Step-by-step explanation:
The diagram below shows a Sudoku puzzle with a difference. Some of the lines between adjacent cells have a number on them; this is the product of the numbers in the cells.
The normal rules of Sudoku also apply: the numbers 1 to 9 must appear once each in each row, once in each column, and once in each square block.
Can you solve this puzzle?
What is the value of x?
A. 24
B. 33
C. 72
D. 75
Answer:
B. x = 33
Step-by-step explanation:
Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8
Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6
Answer:
i think A. 16p+6 is answer
find the domain of y=1/2 square root of x+2-3
please help me!!!!!!! due soon
Answer:
A
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(4x + 11) is an exterior angle of the triangle , then
4x + 11 = 3x - 24 + 2x
4x + 11 = 5x - 24 ( subtract 5x from both sides )
- x + 11 = - 24 ( subtract 11 from both sides )
- x = - 35 ( multiply both sides by - 1 )
x = 35 → A
Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.
Answer:
Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.
PLEASE HELP AND SHOW WORK
Answer:
that is the true answer trust
Step-by-step explanation:
like my answer and make it brainlieast
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Please help me I really such at geometry
Answer:
EF, DE, DF
Step-by-step explanation:
Answer:
EF DE DF
Step-by-step explanation:
a water truck is filling a swimming pool
Is (6,7) the same point as (7,6)? Explain
Answer:
no
Step-by-step explanation:
no
Answer:
NO
Step-by-step explanation:
6,7 is a totally different point from 7,6 if you where to graph it 7,6 would be above 6,7 not on the same point.
solve similar triangles (advanced)
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
Find the roots 5x^2+16=7x^2/3
Answer: I Got No solution for this problem
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges
is $12. If Susan purchased one orange and one grapefruit, how much did she spend? Show your
thinking.
a.Write System of equations for the above problem.
b. Solve the system of equations
c.Explain the meaning of the solution in the context of the problem.
Answer:
$0.73
Step-by-step explanation:
Let's say an orange costs O dollars and a grapefuit costs G dollars.
We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G
a.
6G = 10O
12G + 24O = 12
6 grapefuit = 6G = 10 oranges = 10O
b.
6G = 10O
12G + 24O = 12
We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.
6G = 10O
divide both sides by 6 to remove the coefficient for G
G = (10/6)O
plug that into the second equation
12*(10/6)O + 24O = 12
20O + 24O = 12
44O = 12
divide both sides by 44 to solve for O
O=12/44 = 6/22
6G = 10O
6G = 60/22
divide both sides by 6 to solve for G
10/22 = G
c.
These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating
Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1
Suppose f(x) = x. Find the graph of f(x) - 5
Answer:
it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)
what is the answer to this equation? x^2-18x+206=0
x = 9-5^(3/2)*i or x = 5^(3/2)*i+9
ok done. Thank to me :>
NEED HELP PLZ HELP ME ….
Answer:
R= -0.95
Step-by-step explanation:
HOPE THIS HELPS :)
Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?
Answer:
Each elf made 85 toys
Step-by-step explanation:
First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.
Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
Help! this is due in 2 hoursssss
Answer:The smallest angle is 2x+10 solve the eqation x=4
Step-by-step explanation:its the right answer i did this before and got it correct
Answer:
the equation you wrote is correct
x=30
the smallest angle is: x-10 or 20
3x=30
2x+10=70
Step-by-step explanation:
a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?
Answer:
number of pins to perfect score
120/300=40/100
percent means parts out of 100
40/100=40%
answer is 40% or 0.40
NOTE: To find the percentage we will multiply decimal value of number of know down pins to a perfect score by 100
Number of know down pins to a perfect score= 0.4 x 100
Number of know down pins to a perfect score=40%
If correct please give brainliest
Stay safe and healthy
Thank You
pls help meeeeeeeeeee
Step-by-step explanation:
VW to WY have the ratio 3/2.
VX to XZ must have the same ratio.
and VX > VW.
so,
30 and 20 is possible, as 30/20 = 3/2.
3 and 2 is not possible, because 6 > 3.
27 and 18 is possible, as 27/18 = 3/2.
13.2 and 8.8 is possible, 13.2/8.8 = 3/2.
8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.
8.7/3 = 2.9
but 2.9×2 = 5.8 and not 5.7.
Rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6) is dilated using scale factor = 2, centered at (12, -1)
The final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)
If the coordinate vertice (x,y) is dilated by a factor k, the resulting coordinate of the image will be (kx, ky). Note that each of the coordinates was multiplied with the factor to get the resulting coordinate.For the coordinates of the rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6), if dilated by a factor of 2, the resulting coordinates will be at F'(12, -2), G'(22, -6), H'(26, -16), and I'(16, -12)If the resulting coordinate is centered at (12, -1), we will simply subtract the center from the resulting coordinate to get the final position of the rhombus. The final coordinates will be as shown:
F'' = (12-12, -2+1) = (0, -1)
G'' = (22-12, -6+1) = (10, -5)
H'' = (26-12, -16+1) = (14, -15)
I" = (16-12, -12+1) = (4, -11)
Therefore final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)
Learn more on dilation here: https://brainly.com/question/11348620