Solve the equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.
x = -3 and 1
x = -2
No real roots.
x = 3 and -1
Answers
Answer:
No real roots.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
-3x² + 2x = 1
Step 2: Rewrite in Standard Form
Subtract 1 on both sides: -3x² + 2x - 1 = 0Step 3: Define
a = -3
b = 2
c = -1
Step 4: Find roots
Substitute in variables: [tex]x=\frac{-2\pm\sqrt{2^2-4(-3)(-1)} }{2(-3)}[/tex]Exponents: [tex]x=\frac{-2\pm\sqrt{4-4(-3)(-1)} }{2(-3)}[/tex]Multiply: [tex]x=\frac{-2\pm\sqrt{4-12} }{-6}[/tex]Subtract: [tex]x=\frac{-2\pm\sqrt{-8} }{-6}[/tex]Here we see that we cannot take the square root of a negative number. We will get no real roots and only imaginary ones.
Related Questions
Which graph shows a linear function?
Answers
Given AXYZ = ARST.mZR=(6n+1). m _Y=108°, and m _Z=(91-4)', what is the value of n?
Answers
Answer:
A
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, thus
∠ S = ∠ Y = 108°
∠ T = ∠ Z = 9n - 4
Given ∠ R = 6n + 1
The sum of the 3 angles in Δ RST = 180°
Sum the 3 angles and equate to 180, that is
6n + 1 + 108 + 9n - 4 = 180 , simplify
15n + 105 = 180 ( subtract 105 from both sides )
15n = 75 ( divide both sides by 15 )
n = 5 → A
2/3 of a number is 20 less than the original number. Find the original number
Answers
Answer:
60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
Answer:
60
Step-by-step explanation:
Let the number be x
2/3 x = x -20
20 =x -2/3x
1/3 x =20
60 = x.
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answers
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes
2x+2y=38
Y=x+3
Substitute to solve
Correct answer gets Brainliest
Answers
Answer:
x=8
y=11
Step-by-step explanation:
2(8) + 2(11) = 38
8 + 3 = 11
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answers
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
Answers
Answer:
if the points are in a straight line going upward then they are corect
but if the points are scattered they are wrong its hard to answer this question he graph to look at
help please #16 already found x can’t figure out y
Answers
Answer:
x=26 y=137
Step-by-step explanation:
5x-17+3x-11=180
8x=208
x=26
2y+5+3x-11=180
2y+5+(3*26)-11=180
2y=274
y=137
PLEASE HELPP!!!! 30 POINTS!!!
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC?
Make sure you explain why and show all your work.
Answers
Answer:
The perimeter of triangle ABC is 33.
Explanation:
AY = 7 is half of the line of XY so we would then multiply 7 by 2:
7 x 2 = 14
and we would then do this to all of our numbers:
8 x 2 = 16
18 x 2 = 36
now we make a full equation for the answer of the perimeter of triangle XYZ:
14 + 16 + 36 = 66
66 is the perimeter of triangle XYZ.
We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:
66 ÷ 2 = 33
The perimeter of triangle ABC is 33
Hope this helps! :)
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Answers
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.
Answers
Answer:
the answer is -13.64 i just took the test and it right promise.
Step-by-step explanation:
mark me as brainliest pls its right
Answer:
The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6
(7,-20), (1,-3)
Find the slope of the line through each pair of points
Answers
Plug the coordinates in the equation
-3-(-20)/1-7
17/-6
The slope is -17/6
Answer:
-17/6
Step-by-step explanation:
You find the slope by using the equation: y2-y1/x2-x1.
-20-(-3)/7-1
-20+3/6
-17/6
what’s is the slope?
Answers
rise over run. you rise twice, go over 3 times
Answer:
1/2
Step-by-step explanation:
(1,1) (2,3)
you have to do the difference of the x axis and y axis then divid them by each other
hey bro's help me!!
Answers
Answer:
3x+10
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
the probability is 1/2
Solve for x:
3x+c=12
Please show work
Answers
Answer:
x=3 c=3
Step-by-step explanation:
How to solve for x is 12 divided by 3 equals 4 so x would equal 3 and C would give you an answer of 3 also if i am correct. 3×3 + 3 = 12
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answers
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
CORRECT ANSWER= BRAINLIEST
A right triangle has legs that measure 7 meters and 16 meters. What is the length of its hypotenuse to the nearest whole
number?
14 meters
16 meters
17 meters
18 meters
Answers
Answer:
17 meters
Step-by-step explanation:
I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.
Hope this helps :)
Answer:
The answer is 17 meter
Step-by-step explanation:
So the formula for this is a^2 + b^2 = c^
The two legs are a and b
So plug those into the equation
It should look something like this 7^2 + 16^2 = c^2
Then solve the exponents and you get 49 + 256 = c^2
After that just add the two integers and you have 305
Finally take the square root of 305 and you get 17
pls mark brainliest because i didnt waste your time Lol
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you? _____
Answers
Answer:
$1.85
Step-by-step explanation:
Simple Subtraction!
$3.50 - $1.65 = $1.85
$1.85
The product of a number and negative 7/10 is 1/2 what is the number
Answers
Answer:
5/7
Step-by-step explanation
The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7
.A carpenter bought some wood for #900. He used the wood to make a shelf which he sold for #3000. What percentage profit was this?. Single choice.
42.86%
233.33%
2100%
900%
Answers
Answer:
233.33%
Step-by-step explanation:
His profit is 233.33%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, given that,
A carpenter bought some wood for #900.
He used the wood to make a shelf which he sold for #3000
Profit= #(3000-900)
=#2100
So, percentage of profit = 233.33%
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the floor of the concert hall. Tickets for floor seats are $83 each. Tickets for the balcony are 60% of the price of the floor tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats, and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560?
Answers
Answer:
[tex]83f+49.8b \leq 560[/tex]
Step-by-step explanation:
Given that the cost of 1 floor ticket = $ 83.
Cost for f floor tickets = $ 83f
Ticket for 1 balcony ticket = 60% of floor ticket.
= 0.60 x 83 = $49.8
Cost for b balcony tickets = $ 49.8b.
Total cost for f floor tickets and b balcony tickets, C= 83f+49.8b.
As the person can spend a maximum of $560,
So, [tex]C\leq 560[/tex]
[tex]\Rightarrow 83f+49.8b \leq 560[/tex].
Hence, the required inequality is [tex]83f+49.8b \leq 560[/tex].
selena paid $15.00 for 6 gallons of gasoline what was the price per gallon
Answers
Answer:
$2.50
Step-by-step explanation:
Is Selena paid $15 for 6 gallons and you want to find the price for one gallon, all you need to do is divide the price of 6 gallons ($15) by the number of gallons (6).
15/6 = 2.5. Your answer is $2.50. Hope this helps ^-^
dillon pays x dollars to get a haircut.he gives the stylist a 20% tip the expression representing his total cost is x + 0.2x
Answers
Answer:
[tex]y=x+0.2x[/tex]
Step-by-step explanation:
Step one:
given data
we are told that Dillon paid $x for a haircut.
and gave a tip of 20% of the amount he paid, this is expressed as
=20/100*x
=0.2x
Let the total amount he paid, that is haircut plus tip be y
the expression for the total amount is
[tex]y=x+0.2x[/tex]
here x represents the amount he paid
0.2 represents 20% of the haircut
Whoever gives me the correct answers I will give brainlyest.
Carlos walks 3 miles every night for exercise. It takes him exactly 56 minutes to finish his walk.
A) Assuming he walks at a constant rate, write a equation to represent how many miles, y, Carlos can walk in x minutes. (answer can be kept as a fraction or rounded correctly to the nearest hundredths place)
B) How many miles can Carlos walk in 18 minutes? (Your answer should be rounded to the nearest tenths or hundredths place).
Answers
Answer:
its B
Step-by-step explanation:
Because It says how many milescan he walk not how many Did he walk
Last one , will mark brainliest !!!!
Answers
Answer:
Step-by-step explanation:
Part 1:y=426x+4298
y=223x+6129
Part 2: x=9.020 (x is the number of months and y is the miles)
Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile
Answer:
See answers in explanation below
Step-by-step explanation:
1. 4298 + 426t = 6129 + 223t
2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129
and find the answer at where these two lines intersect with each other, x=9.0197 (months)
3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)
What is the volume of a hemisphere with a diameter of 41.6 m, rounded to the
nearest tenth of a cubic meter?
Answers
Answer:
Step-by-step explanation:
Given
diameter of 41.6 m
So radius =41.6/2= 20.8
Solution
volume of a hemisphere=4/3πr^2
=4/3×3.14×20.8×20.8
=5433.9584/3
=1811.319
So the answer is 1811.319 =1811(nearest 10)
Answer:18847.3
Step-by-step explanation:
plzzzzzz helpppppp plzzz
Answers
Answer:
D. 6
Step-by-step explanation:
Answer:
B, 6
I think! hope it helped
En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?
A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados
Answers
Sabemos que el ángulo de uptown es 90 y el ángulo de downtown es 90 entonces son congruentes. Si midtown es exactamente la mitad del camino de uptown a downtown entonces la distancia de uptown a midtown es exactamente igual a la distancia de midtown a downtown. Como la línea de upper west side a lower east side es una transversal de la línea uptown a downtown, sabemos que el ángulo de upper,mid,up es vertical al ángulo down,mid,lower y eso significaría que esos did ángulos son congruentes. Usando el ASA theorem (ángulo, lado, ángulo) sabemos que los dos triángulos son congruentes entonces la línea de upper a mid es igual a la de mid to lower
:)))
What is the equation of the line through the origin and (3, 4)?
Answers
Answer:
y = 4/3x
Step-by-step explanation:
Hope that helps you
How many minutes of calling time do the plans cost the same amount ?
Answers
.15*200 = 30+45= Plan A= $75
.25*200= 50+25= Plan B= $75
Answer is D