I take it as you want to learn about the formula.
The quadratic formula is a formula where you can solve x for any quadratic equation in form ax^2+bx+c=0.
The formula is x= [tex]\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex].
The +- means + or - for the 2 solution in each equation.
*All above information is what you need to know about the quadratic formula and solve for answer, but I will go a step further in my answer to prove the quadratic formula always work.
[tex]0=ax^2+bx+c[/tex]
[tex]0=(ax+\frac{b}{2})^2-\frac{b^2}{4}+c[/tex] (This step is completing the square)
[tex](ax+\frac{b}{2})^2=\frac{b^2}{4}-c[/tex]
[tex](2ax+b)^2=b^2-4ac[/tex]
[tex]2ax+b=+or-\sqrt{b^2-4ac}[/tex]
[tex]2ax=-b+ or -\sqrt{b^2-4ac}[/tex]
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
This is my way of proving this formula although there are many other ways to do it too, if there is any questions, feel free to ask me in the comment :-).
Add a grocery store bananas cost $.90 each and oranges cost $.80 each Ava has $15 to spend if Ava wants to buy an equal amount of bananas and oranges at most how many of each can't you buy
Answer:
9
Step-by-step explanation:
We are given that
Cost of each banana=$0.90
Cost of each orange=$0.80
Ava have total money=$15
We have to find the number of each if Ava wants to buy an equal amount of bananas and oranges at most.
Let x be the number of each.
According to question
[tex]0.9x+0.8x=15[/tex]
[tex]1.7x=15[/tex]
[tex]x=\frac{15}{1.7}[/tex]
[tex]x=8.8\approx 9[/tex]
[tex]x=9(approximately)[/tex]
Hence, number of banana bought=9
Number of oranges bought=9
-5/7 divided by -1/3
Leave your answer in fractional form.
Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2)
Step-by-step explanation:
invert the second fraction and multiply
-5/7 * -3/1 = 15/7 = 2 1/7
x + y = 5
y = 3x + 1
How do I find the solution from these two equations by graphing
Answer:
x=1, y=4
Step-by-step explanation:
x+y=5 - (1)
y=3x + 1 (2)
Sub (2) into (1)
x + (3x +1)=5
4x=5-1
x=4 ÷4
=1
Sub x=1 into (2)
y=3(1)+1
= 4
Hope it helps
Have a good day
Help please! Asap!! Will give brianliest!
Answer:
A
Step-by-step explanation:
The reflected rays come from a point on the reflective surface. That point is where the lines meet is the vertex.
Two trains, Train A and Train B, weigh a total of 443 tons. Train A is heavier than Train B. The difference of their weights is 279 tons. What is the weight of each train?
Answer:
164
Step-by-step explanation:
443-279
=164
Answer:
443 - 279 = 164
Step-by-step explanation:
so train A should be 279 pounds
and train B should be 164 pounds
So sorry i might be wrong i tried my best
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.
K = ?
y = ?
Answer:
k = 24, y = 24x
Step-by-step explanation:
Given x and y are proportional then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = 72, x = 3 , then
72 = 3k ( divide both sides by 3 )
k = 24
y = 24x ← equation of proportion
where did you get 36
Answer:
none did it
Step-by-step explanation:
I need help with numbers 17 and 11. worksheet down below :) thank you. I'm using all my points so let this be the time I use my points wisely.
(sry I dont have a lot of points. I only have 20)
Answer:
12-8+3 for the numerical and 2x=3y-6 for the algebraic expression
Step-by-step explanation
Numerical expression consists of numbers and one operation
Algebraic expression consist of multiple varaibles and constents
Answer:
numerical expression: 5+20-9= 16algebraic expression: 6p +18
You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
20 of the cats at the pet store are white, which is 25% of all of the cats. How many cats are there at the pet store?
Answer:
the
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
25%X4=100%
20X4=80
Suppose an object is dropped from the top of a building into a pool of water at ground level. There is a splash 6.8 seconds after the object is dropped. How high is the building in feet?
Answer:
739.8 ft
Step-by-step explanation:
There were 70 concert tickets sold for $550. Each adult ticket cost $9 and each child's ticket cost $5. Find the number of adult tickets and the number of child tickets sold.
Let a = # of adult tickets sold
Let c = # of child tickets sold
Equation #1 (Quantity of Tickets Sold)
___ + ___ = 70
Equation #2 (Value of Tickets Sold)
___ + ____ = $550
Solve the system of linear equations with any method.
# of adult tickets sold: ____
# of child tickets sold: ____
Answer:
a= 50 c=20 50+20=70 450+100
Step-by-step explanation:
good luck on tes t man
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
WORTH 15 POINTS:
Karl is replacing his concrete driveway with rectangular pavers. Each paver has an area of 4.5 square feet. Karl's driveway is 21 feet long and 18 feet wide. How many pavers will he need?
Answer:
84
Step-by-step explanation:
To complete the concrete highway with pavers 84 pavers are needed.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
From the given information each Pavel has an area of 4.5 square feet.
And the area of the driveway can be obtained by multiplying the length and width of the driveway which is,
= (21×18) sq feet.
= 378 sq feet.
Therefore, The number of pavers needed is,
= (378/4.5).
= 84 pavers.
learn more about rectangles here :
https://brainly.com/question/29123947
#SPJ3
What are the slope and the y-intercept of the linear function that is represented by the graph?
O The slope is 3, and the y-intercept is 9.
O The slope is 3, and the y-intercept is 12.
O The slope is 4, and the y-intercept is 9.
O The slope is 4, and the y-intercept is 12
Answer:
D
Step-by-step explanation:
how do you graph y=2/3 x-4 on a coordinated graph
0= 2/3x-4
0=2x -12
-2x-12
×=6
Walter takes 950 milligrams of an antibiotic. Every hour, his body breaks down 25% of the
drug. How much will be left after 4 hours?
Answer: 0
Step-by-step explanation: 950 x .25 = 237.5 x 4(4 hours) =950
Answer:
0
Step-by-step explanation:
I just took the test
Find the slope: (-2,5) and (2,1
Tony drove for 2 hours at a constant rate of 65 mph. It started to rain, so he slowed his rate to a constant 50 mph for 3 hours. When the rain stopped, Tony finished the trip driving at a constant rate of 60 mph for the final hour. How far did Tony travel? A. 175 mi. B. 240 mi. C. 275 mi. D. 340 mi.
Answer:
B. 240mi.
Step-by-step explanation:
Answer:
D. 340
Step-by-step explanation:
Proof: I put all the constants together to equal 340.
(not much proof but believe me)
a rectangular field has as dimensions 49 m and 36 m calculate the length of the side of square having the same area as the fieldI want the solution
Answer:
length =25m
breadth =16m
area of rectangle =25*16
according to question
area of rectangle =Area of Square
Area of squre =400m
Side *Side =400m
(Side)=(20m)
Side =20m
A teacher asks each student in the class to randomly choose a number between 1 and 80 and write it down. Devon and Michiko write down a number. What is the probability that both of their choices will be greater than 60? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.063
0.06
0.938
0.25
Answer:
0.063
is the correct answer
Answer:
0.063
Step-by-step explanation:
Find the distance between C(-5,4) and Q(2,0)
9514 1404 393
Answer:
√65 ≈ 8.06
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-5))² +(0 -4)²) = √(7² +(-4)²) = √(49 +16)
d = √65 ≈ 8.0622577
The distance between C and Q is √65, about 8.06 units.
Which expression is equivalent to 5x +10y-15?
A. 5(x-2y-3
B. 5(x5y-10
C. 5(x+2y-3
D. 5(x2y-15
Answer:
C
Step-by-step explanation:
Answer:
its a hehehehehehhehehe\
Step-by-step explanation:
At a competition 24 of the 40 members of a middle school band won a middle. What percentage of the of the band won a middle?
Answer:
60%
Step-by-step explanation: 24/40 equals .6. Multiply .6 by 100 to get your percentage, which equals 60%. hope this helps
An isosceles triangle has two congruent side lengths of 20 centimeters. The base of the triangle is 10 centimeters. Find the height of the
isosceles triangle
(Use the Pythagorean Theorem & DONT GIVE ME THE ANSWER, I JUST WANT THE EQUATION) Thx :)
Answer:
(half of base)² + (height)² = (20)²
Step-by-step explanation:
In an isosceles triangle, the angle bisector from the 3rd angle to the opposite side is a perpendicular bisector, so you split the isosceles triangle into two congruent right triangles.
This technique of 'splitting the isosceles' is used a LOT.
hudson pick 1 1/4 baskets of apple suzy pick 2 basket of apple how muck more basket apple did suzy pick than hudson.
Answer:
3/4
Step-by-step explanation:
Hudson = 1 1/4 baskets
Suzy = 2 baskets
How much more apple Suzy picked than Hudson :
Suzy - Hudson
2 - 1 1/4
2 - 5/4
L. C. M = 4
(8 - 5) / 4
3 /4 apples
Suzy picked 3/4 more apples Than Hudson
.........................
Answer:
a=180-79
a=101
c=83 (vertically opposite angles)
d=c (corresponding angles)
d=83
b=a(corresponding angles)
b=101
Hope it helps
n plzz mark meh da brainliest
Answer: a=101 b=79 c=83 d=97
Step-by-step explanation:
A: angles on a straight line add up to 180° so you would take away 79° from 180° which is 101°.
B: angles on a parallel lines are always the same, you can see that 79 is at the same position as b.
C: opposite angles are always the same so it would still be 83°.
D: d is on other side as c and this would add up to 180° so as we already know that c is 83° you would have to take away 83° from 180° to get d.
y - 7.74 = 9.1
solve for y
Answer:
y = 16.84
Step-by-step explanation:
y - 7.74 = 9.1
=> y = 9.1 + 7.74
=> y = 16.84
Bridget is a sales person. She sold a microwave for $70 and earned 5%commission. How much commission did Bridget earn?
Are these two lines parallel? Why or why not?
y=5x+6 and y=6x+5
Answer:
No
Step-by-step explanation:
The slopes of the equations are unequal, meaning the lines are not parallel and will eventually intercept