Which are the solutions of the quadratic equation?

x2 = 9x + 6

StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction

Answer:

One solution

Step-by-step explanation:

3(x – 2) = 22 – x

Distribute

3x - 6 = 22 -x

Add x to each side

3x-6+x = 22-x+x

4x -6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

Answer:

One solution

Step-by-step explanation:

Solve for x to determine how many solutions it has

3(x - 22) = 22 - x

Distribute the 3

3x - 66 = 22 - x

Add x to both sides

4x - 66 = 22

Add 66 to both sides

4x = 88

Divide both sides by 4

x = 22

The equation has only one solution, the solution being 22

Answer:

perpendicular slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

Step-by-step explanation:

(2n^6)^3=8n^18 cubic units

Answer:

(2 n Superscript 6 Baseline) cubed = 8 n Superscript 18 cubic units

Step-by-step explanation:

edge

Answer:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse.

The abbreviation is sin. sin θ = opposite / hypotenuse.2 cosA sinB = sin(A + B) − sin(A − B) 2 cosA cosB = cos(A + B) + cos(A − B) 2 sinA sinB = cos(A − B) − cos(A + B)

Step-by-step explanation:

hi sushant

for another definition:-

Shina (word), or Sina (Japanese: 支那) means archaic Japanese word for China.

Answer:

[tex]P(X \geq 8)=22*10^{-4}[/tex]

Step-by-step explanation:

From The Question we are told that

Prob that population is colourblind [tex]P(C)=0.10[/tex]

Sample size [tex]N=25[/tex]

Generally the equation for Number of color blinds is mathematically given by

  [tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]

  [tex]P(X \geq 8)=22*10^{-4}[/tex]

Answer:

13 1/2

Step-by-step explanation:

9 ÷ 2/3

Copy dot flip

9 * 3/2

27/2

Change from an improper fraction to a mixed number

2 goes into 27 13 times with 1 left over

13 1/2

Answer:

4x²+21x-2

  (OR)

2x²-x-6

Step-by-step explanation:

According to the Question,

Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.

Let, Two Trinomials are P(x) = A  &  Q(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

A - (3x²-11x-4) = x²-10x+2

A = x²-10x+2 + (3x²-11x-4)

A = x²-10x+2 + 3x²-11x-4

A = 4x²+21x-2

(OR)

If we Let, Two Trinomials are Q(x) = A  &  P(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

(3x²-11x-4) - A = x²-10x+2

A = 3x²-11x-4 - (x²-10x+2)

A = 3x²-11x-4 - x²+10x-2

A = 2x²-x-6

Answer:

£11.25

Step-by-step explanation:

The formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time

Principal = Amount deposited in the bank = £100

Interest rate = 2.25%

Time in years = 5 years

Hence,

Simple Interest = £100 × 2.25% × 5

= £11.25

Therefore, the interest that will have been paid after 5 years is £11.25

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15

Answer:

No

Step-by-step explanation:

No. You can see why if you remove the brackets.

y=x^2 - 3x.

A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5

x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.

Answer:

cosJ = 40/41

Step-by-step explanation:

cosJ = b/h = 40/√(40²+9²)= 40/41

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

Answer:

Step 3

Step-by-step explanation:

Answer:

49 - 2y

Step-by-step explanation:

y to represent Vanessa's age.

49 decreased by twice Vanessa's age

decreased by means subtract, twice means 2 times

49 - 2y

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

Answer:

acute

Step-by-step explanation:

it is acute because it is less than 90 degrees

Answer:

A =196 m^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 14^2

A =196 m^2

Answer:

[tex]\frac{27}{100}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{81}{3}%[/tex]%

Now

It can be written as:

[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%

27%=[tex]\frac{27}{100}[/tex]

Therefore, common fraction will be [tex]\frac{27}{100}[/tex]

Answer:

2500/3

Step-by-step explanation:

[tex]8\frac{1}{3}[/tex] %

=(8*3+1/3) %

=25/3 %

=25/3 / 100

=25/3 *100/1

=2500/3

Answer:

I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones

Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

The smallest number is 6034579.

Answer:

6034579 hope this helps!!

explanation:

We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.

Answer:

Step-by-step explanation:

Answer:

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

[tex]c=\$50[/tex] ---- shipping fee

[tex]r =\$35[/tex] --- unit selling price

[tex]n \to[/tex] number of orders

[tex]n \ge 100[/tex] ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

[tex]f(n) = r * n + c[/tex]

This gives:

[tex]f(n)=35 * n + 50[/tex]

[tex]f(n)=35n + 50[/tex]

Recall that the domain is: [tex]n \ge 100[/tex]

So, we have:

[tex]f(n)=35n + 50[/tex]   [tex]n \ge 100[/tex]

The reasonable amount of order implies that we calculate the range of the function

[tex]n \ge 100[/tex] implies that the minimum is 100

So:

Substitute 100 for n in [tex]f(n)=35n + 50[/tex]

[tex]f(100) = 35 * 100+50[/tex]

[tex]f(100) = 3500+50[/tex]

[tex]f(100) = 3550[/tex]

So, the range of the function is:

[tex]3550 \le f(n) < \infty[/tex]

Answer: 2.9166666666633333333333333333333

Step-by-step explanation:

Answer:

35/12

Step-by-step explanation:

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 20^2

x^2 + y^2 = 400