Answer:
I hope this is helpful (2x-3)(3x+5)
Step-by-step explanation:
(2x-3)(3x+5)
6x2-9x+10x-15
6x2+x-15
Answer:
your answer is 3x+5
Step-by-step explanation:
on edge 2021
PLZ HELP ME ☻ [tex]\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\][/tex] Solve system of equations
Answer:
[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]
Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:
[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]
Second equation:
[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]
Third equation:
[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]
Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]
Combine this last expression term by term with the reduced equation 2, and solve for "x" :
[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]
Now we use this value for "x" back in equation 1 to solve for "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]
And finally we solve for the third unknown "z":
[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
can someone help me?
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
need helpppp with this one
Answer:
Step-by-step explanation:
brodha,,,
ur answer is
c)) 2sinxcosx
Rápido y fácil, trigonometría. Urgente porfavor
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, his stock was valued at $22.14. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Answer: 1,468.5
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).
Mathematically speaking:
Price per share x number of shares = 19.58 x 75 = $1,468.5
His purchase price was 1,468.5
Feel free to ask for more if needed or if you did not understand something.
Please help...Simplify 10^-8.
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The exponent numerical expression is given below.
⇒ 10⁻⁸
We know that a⁻ⁿ = 1/aⁿ. Then the expression is written as,
⇒ 10⁻⁸
⇒ 1 / 10⁸
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
A fair dice and unbaised coin are tossed once.what is the probability of obtaining 3 and a tail
Answer:
1/4 & 1/2
Step-by-step explanation:
4 sides to the dice
2 sides to coin
Answer:1/12
Step-by-step explanation:
The probability of getting a three on a fair die is 1/6
The probability of getting tails on an unbiased coin is 1/2
Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12
Solve the absolute value equation below. 20-3y=`18
Answer:
y = 2/3, y = 38/3
Step-by-step explanation:
20 -3y = 18
y = 2/3
20 - 3y = -18
y = 38/3
The temperature at 3:00pm was 15 degrees. At midnight the temperature was -2 degrees. What is the difference between those two temperatures
Step-by-step explanation:
(-2)-(+15)=(-17)
the difference between those two temperature s is (-17)
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
The answer is a
Step-by-step explanation:
Using point (0,0) and (3,-9)
Slope of the line = -9-0/3-0 = -9/3 = -3
Equation of the line using point (0,0)
y - 0 = -3(x -0)
y= -3x
Hope this helps.
Answer:
y = -3x 2
Step-by-step explanation:
if the point (-3,4) is the vertex point of the curve of aquadratic function f and -5 is aroot of the equation f(x) =0, then what is the other root
Answer:
x = - 1
Step-by-step explanation:
The x- coordinate of the vertex is mid way between the roots of the quadratic.
The difference between x- coordinate of vertex and the given root is
difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2
Thus the other root is 2 units to the right of x = - 3, that is
x = - 3 + 2 = - 1
The other root is x = - 1
Here is a set of data 2.4 1.6 3.2 0.3 1.5 a. calculate the mean b. each new piece of data is now doubled, calculate the new mean c. each new piece of data is now doubled, calculate the new mean
Answer:
a) mean=1,8 b) mean=3.6 c) mean=7.2
Step-by-step explanation:
a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9
9/5=1.8
b) 4.8+3.2+6.4+0.6+3=18
18/5=3.6
c)9.6+6.4+12.8+1.2+6=36
36/5=7.2
Answer:mean is 1.8
Step-by-step explanation:
Add all up divide by 5
A movie was 3 1/2 hours long if Lilly turned of the movie off 1/4 of the way through how much time did she spend watching
Answer:
7/8 of an hour
Step-by-step explanation:
Answer:
duration of movie = 3 hours 30 minutes
= 180 + 30
= 210 minutes
Lily turned of 1/4 of the way
time she spend watching
= 1/4 × 210
= 52.5 minutes
Dan and Paul share some money in the ratio 11:5.
Dan decides this is unfair so he gives Paul £30 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
50 pounds
Step-by-step explanation:
This situation can be expressed as:
11x-30=5x+30
6x-30=30
6x=60
x=10
5x=50
Paul originally had 50 pounds. Hope this helps!
Solve the inequality 3(x + 2) > 0.
Answer:
x > -2
Step-by-step explanation:
3(x + 2) > 0
Expand the brackets.
3x + 6 > 0.
Subtract 6 on both sides of the inequality.
3x + 6 - 6 > 0 - 6
3x > -6
Divide 3 into both sides of the inequality.
3x/3 > -6/3
x > -2
The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro
Answer:
f(x) = 9(x + 5)2 - 6 (-5,-6)
f(x) = 6(x + 9)2 - 5 (-9,-5)
f(x) = 9(x - 5)2 + 6 (5,6)
f(x) = 6(x - 5)2 - 9. (5,-9)
f(x) = 5(x - 6) +9. (6,9)
Step-by-step explanation:
To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.
The coordinates of the vertex of the equations are:
f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)How to determine the vertex of the quadratic functions?The vertex form of the quadratic function is given as:
y = a(x -h)^2 + k
Where:
Vertex = (h,k)
Using the above highlight, the coordinates of the vertex of the equations would be:
f(x) = 9(x + 5)^2 - 6
Vertex = (-5,-6)
f(x) = 6(x + 9)^2 - 5
Vertex = (-9,-5)
f(x) = 9(x - 5)2 + 6
Vertex =(5,6)
f(x) = 6(x - 5)^2 - 9
Vertex = (5,-9)
f(x) = 5(x - 6) +9
Vertex = (6,9)
Read more about vertex quadratic functions at:
https://brainly.com/question/1480401
Can I get some help with this?
Answer:
x = 37 degrees
Step-by-step explanation:
Let the unknown angle be x
So,
Tan x = [tex]\frac{opposite}{Adjacent}[/tex]
Opposite = 3, Adjacent = 4
Tan x = [tex]\frac{3}{4}[/tex]
Tan x = 0.75
x = [tex]tan ^{-1} 0.75[/tex]
x = 37 degrees
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500
Answer:
(a) 5n -300 = 1500
Step-by-step explanation:
Profit is the difference between revenue and cost.
RevenueThe revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.
CostThe cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...
200 +100 = 300
ProfitThe profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...
revenue - cost = profit
5n -300 = 1500
Answer:
5n - 300 = 1,500
Step-by-step explanation:
just got it right on edge
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? A. There is no difference between the preferences of students and teachers. B. "Shark" is more popular with students, but "moose" is more popular with teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. D. "Moose" is equally popular with students and teachers.
Answer:
The correct statement is (D).
Step-by-step explanation:
Compute the probabilities for the data provided:
Probability students preferring sharks:
[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]
Probability teachers preferring sharks:
[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]
Probability students preferring moose:
[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]
Probability teachers preferring moose:
[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]
From the above computations it can be concluded that:
Shark is more popular with students.Moose is equally popular with students and teachers.Thus, the correct statement is (D).
Answer: Just did it and the answer is “Shark”...
Step-by-step explanation:
Four students are planning a camping trip for Labor Day weekend. They are expecting 8 additional friends to attend. Refer to the information above. The camping trip costs a total of $330.60. Approximately how much is this per person?
after a party, you have 2/5 of brownies you made leftover . there are 16 left. how many brownies did you make for the party?
Answer:
b = 40
Step-by-step explanation:
Let b= brownies made
b* 2/5 = brownies left over
b*2/5 = 16
Multiply each side by 5/2
b * 2/5 *5/2 = 16*5/2
b = 40
Answer:
40
Step-by-step explanation:
.4/.4 is 1 so 16/.4 is 40
What is the length of BD?
Round to one decimal place.
Help pls
Answer: 2.7
Step-by-step explanation:
What is the midpoint of the segment shown below? For geometry worksheet!
Answer:
D
Step-by-step explanation:
The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.
If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.
Answer:
It depends
Step-by-step explanation:
If you are given a right triangle, you use Pythagorean Theorem: a² + b² = c²
If you are given an angle but its not a right triangle, you can use either Law of Sines: [tex]\frac{A}{sin(a)} = \frac{B}{sin(B)} = \frac{C}{sin(C)}[/tex] or Law of Cosines: [tex]c^2 = a^2 + b^2 -2abcosC[/tex].
Answer:
Sample Response: Create and label a diagram. Then, using the Pythagorean theorem, substitute the values for corresponding variables into the theorem and solve by applying inverse operations.
Step-by-step explanation:
Edge 2021
In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .
Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x = [tex]\frac{156}{39}[/tex]
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
64^2/3=
a)2
b)16
c)512
Answer:
16
Step-by-step explanation:
Hi could any one work out this question
Thx
Answer:
see explanation
Step-by-step explanation:
∠ ABY and ∠ CBY are adjacent and supplementary, thus
x + 25 + 2x + 50 = 180, that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°
∠ BEF = ∠ CBY ( corresponding angles )
∠ BEF = 120°
Thus AC and DF are parallel lines
what type of number is the square root of 5
Answer:
Irrational
Step-by-step explanation:
root of 5 = 2.23606797749978969640917366873127623544061835961152572427089…
This number never ends. Another term for it would be a recurring decimal, but it is not exact. Anyway, the square root of 5 is irrational since it is not defined to stop. Even if it was rounded, it would not be exact.
Hope this Helps.