Answers
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
Related Questions
Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5
Answers
Answer:
(-2,1)
Step-by-step explanation:
that is where the two graphs intersect
MEDIUM) Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $24. How much money did each have to begin with
Answers
Answer:
At the very end, the amounts of money are:
A -- 24
B -- 24
C -- 24
If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:
A -- 12 (24 minus 12)
B -- 12 (24 minus 12)
C -- 48 (24 plus 12 plus 12)
Before that, A and C got half of what they had above from B, so:
A -- 6 (12 minus 6)
B -- 42 (12 plus 6 plus 24)
C -- 24 (48 minus 24)
And initially, B and C got half of what they had above from A, so:
A -- 39 (6 plus 21 plus 12)
B -- 21 (42 minus 21)
C -- 12 (24 minus 12)
Step-by-step explanation:
how many real square roots does -1 have?
Answers
There are no real square roots does -1 have.
-1 is negative, it does not have a real square root.
Here, we have,
we know that,
The number -1 does not have any real square roots.
In the real number system, a square root of a number is a value that, when squared, gives the original number.
However, when we square any real number, the result is always non-negative.
Since -1 is negative, it does not have a real square root.
It is 0 because there are no square roots for negative numbers.
Hence, There are no real square roots does -1 have.
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On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
Answers
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.
Answers
Answer:
You want to maximize x and minimize y
Maximum y = 8
Minimum y = 10
8-10= -2
What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)
Answers
Answer:
Its 7.908764333
Step-by-step explanation:
Trust me :)
***WILL GIVE BRAINLIEST***
A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
Answers
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
To know more about Angle Bisector Theorem
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Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Answers
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
If x < -4, then -4 is a solution.
True
False
Answers
Answer:
true
Step-by-step explanation:
the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included
Answer:
i believe it would be true
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Help please!!
A small party balloon has a maximum volume of 500 cm3. Unfortunately, it has a leak that allows 10 cm of air to escape every second. a Write down an equation for the volume (v cm) of the party balloon, t secs after it starts to leak.
Answers
Step-by-step explanation:
I think you mean that 10 cm³ of air are escaping every second.
and we start with a volume of 500 cm³.
V = 500 - 10t 0 <= t <= 50
because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).
A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1. 7 units. A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5. 7 units. The rectangular prism has sides lengths of 1. 7 and 4 units. What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11. 6 units3 45. 4 units3 57. 0 units3 68. 6 units3.
Answers
The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³
The given diagram is made up of a rectangular prism and a triangular prism.
The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.
Volume of triangular prism Vt = BH/3
Base area B = 0.5(5.7)(5)
Base area B = 14.25units²
Height = 4 units
Vt = 14.25 * 4
Vt = 57units³
Volume of the rectangular prism = l²h
Volume of the rectangular prism Vr = 1.7 * 1.7 * 4
Vr = 11.56units³
Volume of the shaded solid = Vt - Vr
Volume of the shaded solid = 57units³ - 11.56units³
Volume of the shaded solid = 45.4units³
Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.
Learn more on the volume of prisms here: https://brainly.com/question/12716590
Answer:
B
Step-by-step explanation:
What is 3/10 of 2560
Answers
Answer:
768
3/10 times 2560 simply equals 768 after the calculations are done
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answers
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Answers
Answer:
your grade increased by 14%
2x + 3 for x=3
PLEASE I NEED A ANSWER
Answers
Answer:
9
Step-by-step explanation:
2 times 3 = 6
6+3=9
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work
Answers
Answer:
----->
Step-by-step explanation:
The weight of the 60kg load is (m g) = 588 Newtons. (Force x distance) = (588 N) x (12 m) = 7,056 Joules of work.
There are 750 calories in ten ounces of a certain ice cream. How many calories are
there in three pounds?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of
calories for?
try
You must answer all questions above in order to submit.
attempt 1 out of 2
Help me solve this PLEASE?
Answers
Work Shown:
1 pound = 16 ounces
3 pounds = 48 ounces (multiply both sides by 3)
Based on that, we can then say,
(750 calories)/(10 ounces) = (x calories)/(48 ounces)
750/10 = x/48
75 = x/48
x/48 = 75
x = 48*75
x = 3600
What common side does ΔABC share with ΔADC?
BC
AD
BD
AC
Answers
Answer:
it's a and c
luk closely
a 260$ suit is marked down by 30%. find the sale price
Answers
Answer:
182
Step-by-step explanation:
If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.
I hope this answer helped. Please let me know if I am incorrect. Thank you!
Use the distributive property to remove the parentheses.
3(6-y)
Answers
Answer:
18-3y.
Step-by-step explanation:
3 x 6 = 18
3 x -1y= -3y.
Answer:
18 - 3y
Step-by-step explanation:
3(6-y)
(3)(6) + (3)(-y)
18 + (-3y)
18 - 3y
Supply the missing reasons to complete the proof.
Answers
Answer:
3. ASA
4. Corresponding sides of congruent triangles are congruent
Step-by-step explanation:
I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.
If the triangles are congruent, then all corresponding angles and sides are also congruent.
find the side of square whose perimeter. is 24.8cm.
Answers
Answer:
6.2
Step-by-step explanation:
How do you work x+1-2=4 and x-1=2
Answers
Answer:
Simplify x+1-2x+1−2 to x-1x−1.
x-1=4
x−1=4
2 Add 11 to both sides.
x=4+1
x=4+1
3 Simplify 4+14+1 to 55.
x=5
x=5
Add 11 to both sides.
x=2+1
x=2+1
2 Simplify 2+12+1 to 33.
x=3
x=3
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answers
Answer:
1-19i
Step-by-step explanation:
5. Name the side included by
AB
AC
BC
none of these.
Answers
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay?
Answers
Answer:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
Answers
PLS HELP.
7) Find RQ
Answers
Answer:
are we doing ur homework
Step-by-step explanation:
James makes $44,059 per year, how much would he make monthly?
Answers
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
Please I really need help
15 POINTS..15 POINTS
ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION
PLEASE I NEED IT NOW
Answers
NEW ANSWER
Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.
thanks for brainly (:
glad I could help!
