Solve using the Quadratic Formula:

3x2−12x−9=0

Answer:

Positive Roots: 2 or 0

Negative Roots: 1

Step-by-step explanation:

  f (x) = 6x3 − 3x2 + 5x + 9

To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.

  f (x) = 6x3 − 3x2 + 5x + 9

Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).

Positive Roots: 2 or 0

To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.

  f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9

Simplify each term.

  Apply the product rule to −x.

     f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9

   Raise −1 to the power of 3.

     f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9

   Multiply −1 by 6.

     f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9

   Apply the product rule to −x.

     f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9

Raise −1 to the power of 2.

     f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9

Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative

root (Descartes' Rule of Signs). Negative Roots: 1

The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0

Negative Roots: 1

Answer:

Step-by-step explanation:

I attached the work and answer below, take a look!

Answer:

the answer is neither

Step-by-step explanation:

Answer:

Thank youuuu!!

Answer:

200/550×100%

=20000/550

=36.37%

Answer:

angle JKL is 21

Step-by-step explanation:

the angle of the two triangles are the same, so (2x + 1) = (3x - 9)

You would then find the x, which equals to 10.

Then replace x with ten with the equation.

Answer:

4.621

Step-by-step explanation:

You'll use the sine rue

Answer:75

Step-by-step explanation:

C=180 - (68 + 37)

=180 - 105

=75

Answer:

Answer: Kayla used 2&5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be cups of paint:

[tex]11/6 + 3/8 = (44 + 9)/24 = 53/24[/tex]  

Converting to mixed fraction, it becomes

2 and 5/24 cups of paint

Answer: 10

Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by

Answer:

Step-by-step explanation:

Answer:

3 terms

Step-by-step explanation:

Hi there!

Terms are constants or variables in an algebraic expression separated by plus and minus signs.

With this information, that means that 7q is a term, 6q is a term, and 2 is a term.

Without simplifying the expression, there are 3 terms.

I hope this helped!

Answer:

We conclude that the slope of line 'n' is: m₂ = 10

Step-by-step explanation:

Given

The slope of line m is: m₁ = 10

Let m₂ be the slope of the 'n' line.

We know that when two lines are parallel, they have equal slopes.

i.e.  m₁ = m₂

as

The slope of line m is: m₁ = 10

and

The lines are parallel

so

The slope of line 'n' is: m₂ = 10

Therefore, we conclude that the slope of line 'n' is: m₂ = 10

Answer:

There are 12 boys and 18 girls

Step-by-step explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

[tex]\displaystyle \frac{x}{30-x}=\frac{2}{3}[/tex]

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

Answer: the answer is 12

Step-by-step explanation: the answer is 12 because there are 12 inches in a foot.

Answer:

5.18 miles each day

Step-by-step explanation:

3 weeks × 6 days = 18 days

93.24 miles in 18 days gives an average of 93.24 ÷ 18 = 5.18 miles per day

Answer: c. R OR E

e. R′

f. E

Step-by-step explanation:

Outcomes for Red card ={1,2,3,4,5,6} = 6

Outcomes of Blue card = {1,2,3} =3

R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.

Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}

E={2R, 4R, 6R , 2B}

O = {1R, 3R, 5R, 3B}

R or O = { 1R,2R,3R,4R,5R,6R ,3B}   [all elements of R and O]

B and O = {3B}             [all elements common in B and O]

R or E = {1R,2R,3R,4R,5R,6R,2B }

R and O = {1R, 3R, 5R}  [all elements common in R and O]

R' = B= {1B,2B,3B}     [all elements except R]

Blue 2 = 2B belongs to B, R or E, R' and E.

Correct options are c. e. f.

Answer:

Blue 3

E'

B AND O

Step-by-step explanation:

Answer:

0, 1, 2

Step-by-step explanation:

There is a way for them to intersect at 0 points, for example y=x^2 and y = -1

The way to intersect at 1 point is for the linear function to be tangent to the parabola, like y = x^2 and y = 0

The way to intersect 2 points is just for the linear function to be a secant to the parabola, like y = x^2 and y = 1

Answer

$14.85

Step-by-step explanation:

calculate 33.00 x .55= 18.155  (thats the discount) subtract it from the cost

33.00 -18.15 +$14.85

Answer:

Population 15 years later  P(15)  =  100 + 50/π

Population 35 years later P(35)  =  200 + 50/π

Population any t ≥ 0    P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)  

Step-by-step explanation:

P´(t)  =  5  + 10*sinπt/5       ⇒    dP/dt =  5  + 10*sinπt/5    

dP = ( 5  + 10*sinπt/5  ) *dt

P(t) = ∫  ( 5  + 10*sinπt/5 ) dt

P(t)  =  5*t  +  10 * ∫ sinπ*t/5* dt

P(t)  =  5*t  -  10*5/π *cos πt/5 + k

To determine k    t = 0   P(t) = 35

P(0) = 5*0  - 50/π (1) + k

35 = - 50/π  + k

k  =  35  + 50/π     and

P(t)  =  5*t  + 10*cos(π*t/5) + 35 + 50/π

b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)    (1)

a) Population 15 years later

P(15)  =  35 + 50/π  + 5*15 - 10

P(15)  =  100 + 50/π

Again from equation  (1)

P(35)  =  35 + 50 /π + 5*35 + 10*cos(35*π/5)

P(35)  =  35 + 50/π  + 175 + 10*cos (7*π )

P(35)  =  210 + 50/π  - 10

P(35)  =  200 + 50/π

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

9514 1404 393

Answer:

  2.  G  10.72 units

  3.  B  3.6, 6, 4.8

Step-by-step explanation:

2. The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the sides.

  14^2 = 9^2 + CB^2

  196 = 81 + CB^2 . . . . find the square values

  115 = CB^2 . . . . . . . . subtract 81

  √115 = CB ≈ 10.72 . . . . . matches G

__

3. You know that lengths 3, 4, 5 form a right triangle. This is a special triple for several reasons. One of them is that it is the smallest integer Pythagorean triple. Another is that it is the only Pythagorean triple that is an arithmetic sequence (has constant differences between lengths).

You can use this as a reference to look at the choices offered.

  A. The lengths 3.2, 4.1 and 5.0 have constant differences of 0.9. The shortest length is not 3 times this value, so this is not a right triangle.

  B. The lengths 3.6, 4.8, 6 have constant differences of 1.2. These numbers are 3, 4, and 5 times that difference, so these segments will form a right triangle.

  C, D. The longest length is an integer. The sums of the squares of the decimal values will not be integers, so these are not right triangles.

  4.5^2 +6.7^2 = 65.14  not 8^2

  5.2^2 +8.5^2 = 99.29  not 10^2

Answer:

[tex]y=\frac{1}{3}x-8[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](6,-6)[/tex] and [tex](9,-5)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-5-(-6)}{9-6}=\frac{1}{3}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]-6=\frac{1}{3}(6)+b, \\ b=-8[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=\frac{1}{3}x-8$}[/tex].

Answer:

7 × 9 - 4 × 5

63-20= 43

Step-by-step explanation:

we start with () then multiplication then subtract we use the BEDMAS method in order.

B: brackets

E: exponents (powers)

D: divide

M: multiply

A:addition

S: subtract

Answer:

omg I'm doing the same thing

Answer:

Width of rectangle = 6 meters

Step-by-step explanation:

Let

Width of rectangle = x

Length of rectangle = 3x-2

Perimeter of rectangle = 44 meters

We need to find:

The Width of rectangle.

The formula used is:

[tex]Perimeter\:of\:rectangle=2(Length\times Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length\times Width)\\44=2(3x-2+x)\\44=2(4x-2)\\44=8x-4\\8x=44+4\\8x=48\\x=\frac{48}{8}\\x=6[/tex]

So, we get the value of x = 6.

We know that Width of rectangle = x = 6

So, Width of rectangle = 6 meters

The difference between SALT I and SALT II is SALT I limited weapons, while SALT II limited launchers. So, correct option is A.

The Strategic Arms Limitation Talks (SALT) were a series of negotiations between the United States and the Soviet Union to limit and reduce the number of nuclear weapons and delivery systems.

SALT I was signed in 1972 and focused on limiting the number of ballistic missiles and bombers each side could possess. It also established a system for verifying compliance with the treaty.

SALT II was signed in 1979 but was never ratified by the U.S. Senate due to increased tensions between the two countries. SALT II aimed to further reduce the number of strategic nuclear weapons and delivery systems, but unlike SALT I, it focused on limiting the number of launchers rather than weapons themselves.

Therefore, the correct answer is A.

To learn more about SALT click on,

https://brainly.com/question/29569705

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Answer:

I just took the test and I can confirm that the answer is A

Step-by-step explanation: