What are the solutions of this quadratic equation? -3x2 + 1 = 3x - 2
The answer is B.............,..,,.....
The solutions of the quadratic equation[tex]-3x^2 + 1 = 3x - 2[/tex] are -1/3 and 1.
To solve this equation, we can use the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case, the coefficients are a = -3, b = 3, and c = -2. Substituting these values into the quadratic formula, we get:
[tex]x = \dfrac{(-3 \pm \sqrt{3^2 - 4 \cdot -3 \cdot -2})}{2 \cdot -3}[/tex]
[tex]x = \dfrac{(-3 \pm \sqrt{27 + 24})}{-6}[/tex]
[tex]x &= \dfrac{(-3 \pm \sqrt{51})}{-6} \\x&= \dfrac{(-3 \pm 3\sqrt{7})}{-6}[/tex]
[tex]x = -1/3 or 1[/tex]
Therefore, the solutions of the quadratic equation are -1/3 and 1.
Here is a breakdown of the steps involved in solving for the solutions of the quadratic equation:
We are given the quadratic equation [tex]-3x^2 + 1 = 3x - 2[/tex]
We can identify the coefficients a, b, and c.
We can substitute these values into the quadratic formula.
We can simplify the expression in the quadratic formula.
We can solve for x.
The solutions are -1/3 and 1.
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Ill give brainilest, question is in the picture.
Step-by-step explanation:
1. true
2. false
3.true
4.false
5. ( may be false)
6 .(may be false)
Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.
Please Help! This is due today!
h( t ) = 3t - 6 which function increases faster
Select all of the points that are on the graph of the function y
- 3x – 4
A
(0, – 4)
B
(7, – 25)
C
( - 5, 11)
D
(3, 13)
E
( -5, – 19)
Answer:
its A
Step-by-step explanation:
Answer:
I think it is (-5,11)
Step-by-step explanation:
I put it into Desmos and that was one of the points.
Simplify please sorry last one(2y+1)^2-4y^2+2
1+4.25n+3/2p-3+(x2p)+5/4n
Answer:
1+11/2n+3p^2x
Identify a2 in the sequence below , 12 , 7 , 2 , -3
Answer:
a₂ = 7
Step-by-step explanation:
The subscript 2 on a₂ represents the second term in the sequence.
The second term is 7 , so
a₂ = 7
Discuss the history of algebra. Discuss some of the key developments in the field of algebra
Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3
Pls help this is due today I need help ASAP if its right i will give brainlest
Answer:
20.76 ✨
hope that helped!!!!
Answer:
i think it's $60.68
Step-by-step explanation:
if I'm wrong plz correct me
what is the radius of 28.26 cm
18.84
Hope this helps you!
Answer:
18.84
Step-by-step explanation:
Find number of possible 5-card hands that contain
3 face cards and 2 other cards (none of which are face cards) all 5 of the same suit
Answer:
i think its 4
Step-by-step explanation:
there are 12 face cards in a deck and the rest are no faced. Since there is 3 face cards in each 5 card thing, 12/3 = 4. then you could just fit in any 2 no faced cards in since there are many. hope that helps
A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by n oz. The expression 20 – 4n represents the new weight, in ounces, of a pack of fruit cups. Rewrite the expression for the new weight as a product of two factors.
Answer:
4 ( 5 - n )
Step-by-step explanation:
The expression:
20 – 4n
Task: Rewrite the expression for the new weight as a product of two factors.
To do this we simply have to find the highest common factor (HCF) between 20 and 4n
20 = 4 * 5
4n = 4 * n
The HCF = 4
Expressing as a product of two factors;
4 ( 5 - n )
b) After allowing 16 % discount on the marked price of an article and levying 13 % value
added tax, the price of the article becoipes Rs 9,492. Find the value added tax.
Answer:
135.15
Step-by-step explanation:
let SP be x
sp with vat=sp + vat % of sp
9492=x+13/100*x
x=1039.6
vat=vat% of sp
=13/100*1039.6
=135.15
Write the center and radius for the following circles
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
Please help!! I will mark you brainiest!!
Council The student council is planning an 8th grade picnic. The local company catering the event will charge a grill rental fee of $150 plus $5 per person for less than 100 students. For 100 students or more, the company will charge the grill fee plus $4.25 per person.
What is the total cost for 125 students?
The total cost for 125 students is $905.5.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Grill rental fee = $150
Charge per person for less than 100 students = $5
Charge per person for 100 students or more = $4.25
Total number of students = 125
The total cost for 125 students is
⇒ [tex][150+5(99)]+[150+4.25(26)][/tex]
⇒ [tex][150+495]+[150+110.5][/tex]
⇒ [tex][645]+[260.5][/tex]
⇒ [tex]905.5[/tex]
Hence we can conclude that the total cost for 125 students is $905.5.
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Help please
this time ill add the question!!
Answer:
The answer should be 64
Step-by-step explanation:
If you have 100 apples for example and you take away 34 you will end up with 64 apples left.
what is 2.1 divided by 1.488
Answer:
= 0.708
Step-by-step explanation:
a garrison of 300 men had provision of food for 50 days. A reinforcement of 200 men arrived. find the number of days the food will last
Answer:
30
Step-by-step explanation:
300 + 200 = 500
500 / 50 = 10
300 / 10 = 30
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Have a great day, be safe and healthy
Thank u
XD
Which number is IRRATIONAL
Answer:
A is 5, B is a irrational number because it doesn't terminate or repeat c is 7 and d is 8
The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in perimeter
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Side links are : 3m, 4m, 5m
The perimeter of a triangle = (a + b + c)
Perimeter 1= (3 + 4 + 5) = 12m
If the side links are multiplied by 4 :
3*4 = 12 m
4*4 = 16m
5*4 = 20m
Perimeter2 = (12 + 16 + 20) = 48 m
Comparing the perimeters:
Perimeter 1 = perimeter 2
12 = 48
Hence, perimeter also increases by 4 folds
12= 3x X 6 what is the valu of the x ?
Answer:
x = 2/3
Step-by-step explanation:
I could not type the answer out but I took a picture of it.
Hope this helps you!
I'll give brainliest pleassee answer right!!
Answer:
Step-by-step explanation:
1 dined esta Ricardo
2donde vamos
3que class de gusta mas
4que ensena el profesor
5como son Los estudiantes
how to write 1/2 with a denominator of 10
Answer:
The answer is 5/10 multiply 1/2 by 5
what is the least common denominator of 1/4 and 1/6
Answer:
Least common denominator is 12
Step-by-step explanation:
1/4=3/12
1/6=2/12
On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
C.
80
D.
88
E.
Given the number of newspapers Gary delivered on
the first three days, he cannot average exactly 72 per
day for the four-day period.
evaluate the expression
I 13 I + I -2 I
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
Angie scored 77 points on a test but only received a 35% grade on the test. How many points were possible on the test.
Answer:
77 is 35% of: 220
Step-by-step explanation:
1/2-1/6(4-1/3) simplify
Answer:
3 5/7
Step-by-step explanation: