Answer:
Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.
Step-by-step explanation:
1.
What is the sum of the two solutions to the equation 3x2 - x = 4?
Answer:
The sum of the two solutions to the given equation is 1/3.
Step-by-step explanation:
Nature of Roots of a Second-Degree Equation
Given a quadratic equation:
[tex]ax^2 + bx + c = 0[/tex]
The roots of the equation are:
[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]
The sum of the roots is:
[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
We are given the equation:
[tex]3x^2 - x = 4[/tex]
Rearranging:
[tex]3x^2 - x - 4=0[/tex]
The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:
[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]
[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]
The sum of the two solutions to the given equation is 1/3.
A small company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation
C = 20/3x + 50band the revenue R, in dollars, made by selling x items is given by the equation R = 10x . The break-even point is the point where the cost and revenue equations intersect.
Graph the cost and revenue equations on the xy-coordinate plane provided. Select the "Line" tool. Plot two points, then a line will connect the points.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The break-even point is on both curves. The y-intercept can be used for the other point in each case.
The break-even point is where cost and revenue are the same:
20/3x +50 = 10x
50 = 10/3x . . . . . . . . subtract 20/3x
15 = x . . . . . multiply by 3/10
r = c = 10(15) = 150 . . . . for x = 10
Two points you can use for graphing the lines are ...
cost: (0, 50) and (15, 150)
revenue: (0, 0) and (15, 150)
WILL GIVE BRAINLIEST NEED DONE ASAP
Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4), m= 2/3
2. (5, -3); m = 2
3. (6,0); m = 3/4
4. (-1, 2); m = 7
5. (-3,-5)m= 1/3
6. (4,0); m = -5
Answer:
y=2/3x-16/3
Step-by-step explanation:
ok ill show you how to do one question since the rest will take too long so what you do is
equation is y=mx+b right
so you have slope and these points (2,-4) and m=2/3
y=2/3x +b right
now all you do is sub in x and y which are ur given points
-4=2/3 (2) +b
now you solve for b
-4 = 4/3 + b
-4-4/3 = b
-12/3 - 4/3 = b
-16/3=b so therefore
y=2/3x-16/3
Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct
HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.
Answer:
Ming has 2 friends
(121-9)÷48= 2.3
You can´t split apart people.
First subtract 9 from 121 then divide by 48 to find how man friends Ming has.
is 6.610
irrational number?
Answer:
yes
Step-by-step explanation:
An
Step-by-step explanation:
A factory makes
575,000
candies per day. If each machine in the factory produces the same amount of candies per day, and there are
20
machines in the factory, how many candies does each machine produce per day?
Answer:
Each machine would produce 28,750 candies per day. hope it helps
PLEASEEEEE HELP! Drag the numbers to the correct locations in the equation. Each number can be used more than once, but not all numbers will be used. The average commute time, in minutes, in relation to the population, in millions, of 10 major cities is shown in the table. What is the square root equation that best models this set of data?
9514 1404 393
Answer:
[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]
Step-by-step explanation:
A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.
[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
I LUV MATH TeeHee
i actually hate it-
Answer:
I HATE MATH TeeHee
Step-by-step explanation:
i actually hate it-
ED GE NU IT Y PE OP LE
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Here, from what we have, the angle and the sides facing it are equal
Since we have pi oh both sides
Thus;
6x + 6 = 9x-9
9x-6x = 9 + 6
3x = 15
x = 15/3
x = 5
Whats the answer for this question guys???
Answer:
0.78539816
Step-by-step explanation:
hope this helped
Answer:
25m
Step-by-step explanation:
/_B=pie/4=45°
since we have /_C=90° then this triangle is a right isosceles triangle
so sides are equal
so a=b= 25 m
Which pair of complex numbers has a real-number product?
O (1 + 2i) (8i)
0 (1 + 2i) (2 - 5i)
O (1 + 2i) (1 – 2i)
O (1 + 2i)(4i)
Answer:
(1 + 2i)(1 - 2i)
Step-by-step explanation:
Multiplying a complex number and its conjugate results in a real number.
Thus
1 + 2i and 1 - 2i are conjugates
(1 + 2i)(1 - 2i) ← expand using FOIL
= 1 - 2I + 2I - 4I² [ note i² = - 1 ]
= 1 - 4(- 1)
= 1 + 4
= 5 ← a real number
Answer:
C
Step-by-step explanation:
C
can y’all help i’m stuck i don’t understand
Answer:
C. x=2.5, DC=7.5, EC=15
Step-by-step explanation:
since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.
Now you can just do 2.5+5=7.5 so DC=7.5
plsssss
do all of the questions and I give you brainlist .make sure they are right
Answer:
1) 6,000 B) 800 C) 4,000
2)7,500
3)third and fourth one
4)6,951
Step-by-step explanation:
just because
Answer:
1 a. 6043=6000 b. 789=1000 c. 3911=4000
2 7341 is a possible solution
3 350 6000 7900
4 6951
pls help ill give brainlist
Answer:
F
Step-by-step explanation:
The rise is 8 and run is 6
Answer:
The answer is J) y=-4/3x+8
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was . If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
Answer:
36 attempts
Step-by-step explanation:
What is the missing number in the solution to 958 ÷ 10?
Answer:
B.)58?
Step-by-step explanation:
Hope I helped..
Answer:
b: 58
Step-by-step explanation:
What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest
tenth of a cubic inch?
Answer:
V≈6795.2in³
Step-by-step explanation:
I think
Answer:
6795.2
Step-by-step explanation:
i got it right
2+46×8÷2= can someone find the answer
Answer:
186
Step-by-step explanation:
PEMDAS
First do 46 x 8 = 368 then divide that by 2, which would be, 184. Then add 2 to 184 and you get 186. :)
CAN SOMEONE PLEASE HELP FAST
Find the midpoint of the segment with the following endpoints.
(4, 2) (7, 6)
EASY POINTS
Which statements are true? Check all that apply.
All rectangles are squares.
All rhombi are parallelograms.
All squares are rhombi.
All trapezoids are parallelograms.
No trapezoid is a rectangle.
Answer:
1 is true
2 is true
3 is true
Answer:
1 check
2 check
3 no check
4 no check
5 check
Step-by-step explanation:
Factorise fully
x2 - 42^2
Step-by-step explanation:
(x_42)(x+42)...
....
Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?
Answer:
8 1/2
Step-by-step explanation:
Ms. Smith bakes 6 cookies in 15 minutes.
will it take her to bake 48 cookies?
How many hours
Answer:
120 minutes or 2 hours I think
Step-by-step explanation:
ok so you want to figure out how many hours it will take for her to bake 48 cookies. It takes 15 minutes to bake 6 cookies.
So 6x8=48 cookies.
Multiply 15 minutes times 8 since one batch of cookies (6) 15 minutes long and she wants to bake 48 cookies.
15x8=120
That's 120 minutes, but you want how many HOURS it takes.
there are 60 minutes on a hour so you will take 120 divided by 60
120/60= 2
To check, multiply 60x2= 120.
Hope this helps!
Original price: ?
Percent of discount: 25%
Sale price: $45
Answer:
Original price is 11.25
Step-by-step explanation:
Answer: 60
The percent of sale price is 100% - 25% = 75%
the original price is (45/75).100 = 60$
Step-by-step explanation:
If AC = 37 BC = 5x + 6, and AB = 2x + 3 Find BC
AC=37
BC=5X+6
AB=2X + 3
2x + 3 + 5x + 6 = 37
7x + 9 = 37
7x = 28
x = 4
BC = 5(4) + 6
BC = 26
Answer = BC = 26
Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.
Answer:
Step-by-step explanation:
sin(x) + tan(x) =sin(X) + sin(x)/cos(x)
=sinx(1+1/cosx)
=Sinx(1+secx)
=1+secx/cosecx. (Since sinx=1/cosecx)
Hence LHS=RHS proved
Omar wants to purchase a new bicycle for $134.45 and helmet for $22.55.
If the sales tax rate is 8%, what will be the total amount of sales tax?
Answer:
12.56
Step-by-step explanation:
143.45+22.55=157.00
157×.08= 12.56
which one of the fractions is the smallest?
A) 1/2
B) 3/20
C) 3/8
pls help
Answer:
3/20
Step-by-step explanation:
just like the other person said
1/2 is the largest because it is 0.500
3/8 is the second largest because it is 0.375 and
3/20 is the smallest because it is 0.150
Have a nice day
Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours