Which statement about the following equation is true? 3x2 â€"" 8x 5 = 5x2.

Answers

Answer 1

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]

Simplify the equation for the roots of the equation,

[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

https://brainly.com/question/10706429


Related Questions

A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?

Answers

The average speed in feet per hour will be;

⇒ 942.85 feet per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance = 22 inches

Time = 7 seconds

Now,

Since, A tortoise moves at a speed of 22 inches in 7 seconds.

Hence, Distance = 22/12 feet

And, Time = 7 / 3600

Thus, The average speed = (22/12) / (7/3600)

                                        = 22 × 3600 / 12 × 7

                                        = 942.85 feet per hour

Therefore, The average speed in feet per hour will be;

⇒ 942.85 feet per hour

Learn more about the mathematical expression visit:

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Convert 6432 Decimal to Binary Number system ?

• Kindly don't spam !! ​

Answers

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Divide the number continuously until it become 0 and write all the remainders from bottom to top.

Now let's solve the given question ~

[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex]

[tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex]

[tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex]

[tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex]

[tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex]

[tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex]

[tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex]

[tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex]

[tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex]

[tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex]

[tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex]

[tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex]

[tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)


f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals

HURRY!!!!

Answers

f(3) = f(3-2) + f(3-1)
f(3) = f(1) + f(2)

then substitute using the values given so
f(3) = -6 + -4
so f(3) = -10

the value of function at n = 3 is  f( 3 ) is - 10.

To find the value of f( 3 ), we can use the given recursive formula:

f(n) = f( n - 2 ) + f( n - 1 )

We already have the values of f(1) and f(2):

f(1) = - 6

f(2) = - 4

Now, let's apply the recursive formula to find f(3):

f(3) = f( 3 - 2 ) + f( 3 - 1 )

f(3) = f(1) + f(2)

f(3) = - 6 + (- 4)

f(3) = - 10

So, the value of f(3) is - 10.

Learn more about recursive formula here

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Ayuda por favor, no entiendo

Answers

I don’t speak Spanish and your picture is blurry so sorry if I misread the numbers.
4^3*4^5*4=4^9 D
(3^3)^2=3^6 C
(a^3)^4*(a^2)^7=a^26 A
(2*3)^2=6^2=36 A


[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.​

Answers

Answer:

x=1.5

Step-by-step explanation:

5=10(5x-7)0.5=5x-77.5=5xx=1.5

A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?

Answers

Answer:

(-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula  put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

Step-by-step explanation:

Sorry it's so long.

what is 13 divided by 4732

Answers

Answer:
0.00274725….
Hope this helps!

Answer:

Step-by-step explanation:

the answer is 13

In a school election, 3/4 of the students vote. There are 1484 votes. Find the number of students.
There are a total of
students.

Answers

Answer:  1979 students.

Step-by-step explanation:

We are told that 3/4  (75% or 0.75) of total students voted, which amounted to 1484 votes.

Letting X be the total number of students, we can write that as:

 (0.75)X = 1484

X = 1978.67 total students

Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student.  So round to the nearest whole number, 1979 students.


The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

y = 5x is the reference line (as best as I can interpret " y = 5* - .").

We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.

Parallel lines will have the same slope as the reference line, in this case m=5.  Our new line will take the form of y=5x+b.  An important difference is that the new line must go through (2,6).  We need to find a value of b that will make that work.

Use y=5x + b with point (2,6) and solve for b:

6 = 5*(2) + b

b = -4

The line that is parallel to y=5x and goes through the point (2,6) is thus:

y = 5x - 4

See the attachment.

The equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

What is the general equation of a straight line?

The general equation of a straight line is of the form -

y = mx + b

where -

[m] is slope of line

[b] is y - intercept

Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).

The equation of line [d] in the slope intercept form can be derived as follows -

Slope of line [c] = Slope of line [d]  (parallel lines)

m[d] = 5

Assume the equation of line [d] as -

y = m[d]x + b

6 = 5 x 2 + b

b = 6 - 10

b = - 4

The equation will be -

y = 5x - 4

Therefore, the equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

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y=x−4
y=4x+2

Find x and y

Answers

Answer:

x = -2

y = -6

Step-by-step explanation:

x - 4 = 4x + 2

-4 = 3x + 2

-6 = 3x

x = -2

y = -2 - 4;  y = -6

Which is the sum of two or more different monomials?

Answers

Answer: Polynomial

Step-by-step explanation:

Please Help Question in picture

Answers

Answer:

20

Step-by-step explanation:

Distance formula =

x={sq rt} of (x2-x1)^2 + (y2-y1)^2

{sq rt} (-7-5)^2+ (-7-9)^2 = {sq rt} (-12)^2 + (-16)^2 = {sq rt}

144+256= {sq rt} 400

{sq rt} 400 = 20

(I think its been a hot sec since I did distance formula stuff)

Answer:

20

Step-by-step explanation:

You can use the distance formula

sqrt(((5--7)^2)+((9--7)^2)) = 20

find the gfc of 22x , 33

Answers

Answer:

11

Step-by-step explanation:

22x = 2 · 11 · x

33 = 3 · 11

common factor to both is 11

find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)


Answers

Answer is (-0.3 ,7) I am sure this answer

help me with this no links

Answers

Answer:

6 maybe I'm not sure jkeneekenene

Answer:

3x

Step-by-step explanation:

A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:

(3x-3)+(3x-3)=6x-6

And because we are given our perimiter, simply subtract the lengths we do know:

(12x+6)-(6x-6)=6x

This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:

6x/2=3x

Based on this, our length of the indicated side is 3x!

Hope this helped!

what is the answer, i need help

Answers

Answer: C 1/2mL LMN= mL LMO

Step-by-step explanation: because 2/76 is 38 C is the right answer

HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!

Answers

I think it is 2/3X - 44
Hope this helps

Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce

Answers

12.71 per ounce, hope this helped :))

Answer: 12.71

Step-by-step explanation: 50.84 divided by 4 = 12.71

What principal will amount to 20,790 in 2 years at the simple interest of 5% per annum?​

Answers

Answer:

18900

Step-by-step explanation:

I Can't Believe There Still Work It's Christmas Break

A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms

Answers

Answer: C. 6 therms

Step-by-step explanation:

6 + 1.25(6) = $13.50

9 + 0.75(6) = $13.50

Correct me if I am incorrect.

please help meeeeeeeeeeeeeeeeeeee

ty

Answers

Answer:

A

Step-by-step explanation:

hope this helped

Answer:

4y = -3x - 8

Step-by-step explanation:

what is the range of a parabola that opens down with a vertex at (1,-3)

Answers

Answer:

-3 to -infinity

Step-by-step explanation:

What is an equation of a line that passes through the point
(0,3) and is perpendicular to the line whose equation is
y = 2x - 1?
-

Answers

Answer:  y = -(1/2)x + 3

Step-by-step explanation:

y = 2x - 1

This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the reference line.  The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).

This yields the equation y = -(1/2)x + b

To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:

y = -(1/2)x + b

3 = -(1/2)(0) + b

b = 3

The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:

y = -(1/2)x + 3

0.25 divided by what eqauls -0.25

Answers

[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

will mark brainleist

Answers

Answer:

x=5.834729, rounded down to 5.83

PT. 3 OF MY HW IT IS UNIT RATE​

Answers

Answer: The rate of change decreased.

Step-by-step explanation:

What is x? Show your work.

Answers

Answer: x=2

Step-by-step explanation: 28/4-5= 2

im so confused please help me quickly

Answers

Answer:

a

Step-by-step explanation:

504300 in standard form

Answers

504,300


explanation:



please help!! i don’t know how to do this please help asap.

Answers

x = 40y - 16y^2 - 24
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