Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
Answers
Answer:
Correct Choice: Second Option
[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]
Step-by-step explanation:
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]5x = 6x^2 -3[/tex]
Rearranging all the terms to the left side:
[tex]6x^2 -5x- 3=0[/tex]
Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:
[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]
[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]
[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]
Correct Choice: Second Option
Related Questions
What is the percent of the discount for a $60 item that sells for $45?
Answers
Answer:
75%
Step-by-step explanation:
45/60 x X/100
45x100
4500/60
75%
Will give brainliest A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?
Answers
Answer:
They need to raise $350 to attend the state competition.
Step-by-step explanation:
Answer:
$350
Step-by-step explanation:
750-400=350
The chess club needs to make $350 in a matter of four months to go to the state competition.
Help! WILL MARK BRAINLIEST!! Explanation?
Answers
use desmos to find the answer it really helps :)
It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?
Answers
Answer:
8 degrees
Step-by-step explanation:
The temperature was -7 and then rose by 15, -7 +15 = 8
(-7) + 15 = 8
Given AABC ADEF, AB = 4x-1, FD = 7, and DE = 8x-33.
Find the value of x and the length of DE.
x=8 and DE = 31
x=8 and DE = 9
Ox=2 and DE = 10
x = 2 and DE = 7
Answers
Answer: x=8 and DE=31
Step-by-step explanation:
The scale of a map is 1.5cm : 75km. What is the actual distance between two
towns that are 3.5cm apart on the map?
Answers
Answer:
175 km
Step-by-step explanation:
1.5/75=3.5/x
1.5x=262.5
x=175
An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line
Answers
Answer:
its on google
Step-by-step explanation:
10x- 2y=16 and x+5y=-20
are perpendicular,parallel or neither
Answers
Salon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile and 1/9 of an hour he bikes for miles in a quarter of an hour at these rights how many minutes does it take being to run 2 miles swim 2 miles in bike eight
Answers
Answer: 30 mins + 30 mins + 20 Mins
= 80 Minutes
Help T-T I’m a bit stuck
Answers
Answer:
It is the 3rd option. If it doesn't have a line below it, the circle should be open. And where the arrow points is where your line should go if that makes sense.
Step-by-step explanation:
What are the two words that allow you to check your division problem backward?
Answers
Answer:
inverse operation
Step-by-step explanation:
Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.
Hope this helps!! Have a wonderful day :3
If x = 3 solve x-(-4) =
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Replace x with the given value and solve.
[tex]x-(-4)\\\\3-(-4)\\\\3+4\\\\\boxed{7}[/tex]
Hope this helps.
Home Algebra 1 Support Final Exam Term 1
y = 3x - 1
y = -3x - 1
Which describes the number of solution(s) to the system of linear equations shown above?
C
Exactly two
None
A
An infinite number
D
B
Exactly one
Answers
Answer:
B. Exactly one solution
Step-by-step explanation:
Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
1634 divided by 12 round it to the nearst tenth
Answers
Answer:
136.2
Step-by-step explanation:
Answer:
136.2
Step-by-step explanation:
1634/12=136.1666666667=136.2
Find f(-3) when f(x) = -x²+1
Answers
Answer:
3x²- 1
Step-by-step explanation:
f(-3) when f(x) = -x²+1
(-x²+1) × -3
3x²- 1
Hannah has 2 hamsters named Bob and Fran. Bob weighs 3.62
ounces, and Fran weighs 2.79 ounces. How much heavier is Bob
than Fran?
Answers
Answer:
Bob is 0.83 ounces heavier than Fran
BRAINLIEST ANSWER IF CORRECT!!!!!
The function F has a removable discontinuity at?
Answers
Answer:
x=2
Step-by-step explanation:
Removable discontinuity is when you can connect the graph by filling in 1 singular point
Answerr this. Will also give branliest. helpp
Answers
Answer:
Angles 1 and 9 are corresponding angles
2 and 3 same side interior angles
8 and 12 are OTHER
6 and 12 are alternate interior
1 and 2 are linear pairs
15 and 11 are alternate interior
8 and 9 are same side interior
2 and 4 are corresponding
Step-by-step explanation:
Use the graph!
Brainliest??Hope it helped!
∠1 and ∠9 = Corresponding angles
∠2 and ∠3 = Same side interior angles
∠8 and ∠12 = Other
∠6 and ∠12 = Alternate interior angles
∠1 and ∠2 = Lineae pair
∠15 and ∠11 = Alternate interior angles
∠8 and ∠9 = Same side interior angles
∠2 and ∠4 = Corresponding angles
If m<1=105 and m<4=115, then m<6=
A.75 B.40 C.50 D.60
Answers
Is the side length √ 23+3 rational or irrational? Explain your reasoning.
100 points but If you answer something random I will report.
Answers
Answer:
Irrational
Step-by-step explanation:
[tex] \sqrt{23 + 3 } = \sqrt{26} [/tex]
An irrational number is a number that cannot be written as a fraction. Therefore √26 is an irrational number.
Irrational
Step-by-step explanation:
An irrational number is a number that cannot be written as a fraction. Which means that √23 is an irrational number.
Which list shows all the factors of 18?
Answers
Answer:
1, 2, 3, 6, 9, and 18 are factors of 18
Step-by-step explanation:
anything that divides into 18 evenly are factors of 18
Answer:
1
2
3
6
9
18
Step-by-step explanation:
Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado
Answers
Answer:
Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento
Step-by-step explanation:
La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta
El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;
[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]
Observamos que 5 kg = 5,000,000 mg
Por lo tanto;
[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]
Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.
Leeza is 6 years older than two times her brother Sammy’s age. Let s represent Sammy’s age.
Which expression represents Leeza’s age?
a.6s + 2
b.2s
c.s + 6
d.2s + 6
Answers
✧･ﾟ: *✧･ﾟ:*hello there!*:･ﾟ✧*:･ﾟ✧
✧here is your answer:
.・゜゜・d. 2s + 6・゜゜・．
♥⛧i hope this helps!!
✧༺♥༻∞lmk if you need help on anything else!!∞༺♥༻✧
❀-kay♬
Hope you have a nice dayyyyyyyyyy
Solve the equation
below. Show all of your
work.
5x = 45
Answers
X= 45/5
Than:
X=9/1 or hust straight x=9
X=9
Step 1: Divide both sides by 5.
5x/5 = 45/5
Answer: x = 9
25x-10=40 solve for x
Answers
25x=50
x=50/25
x=2
kai is making 96 cupcakes for a schoolg event. how many more teaspoons of vanilla are needed to make all 96 cupcakes?
Answers
In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!
help! its due today.
Answers
Answer:c
Step-by-step explanation:
Answer:
a) [tex]\sqrt{90}[/tex]
Step-by-step explanation:
The square root of 90 is approximately 9.487.
Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel. check all that aply
Answers
Answer:
Planes EA and FG
Step-by-step explanation:
Answer:
EA & FG
Step-by-step explanation:
Edge 2020
Which value claims that 3.657 is a rational number
Answers
Step-by-step explanation:
It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.
Which one should I choose
Answers
Answer:
4th one please give me brainliest
Step-by-step explanation: