ILL GIVE BRAINLIEST
find the value of the constant a for which there is no term in x² of the expansion of (1+ax) (2+3x)³

Consider the function F(x)= x³ +½x² −2x +3. Use calc and algebra to find any and all stationary points on the graph of the function.Precalc need help ASAP

Solution:

the above function has more than one root or more than one solution. The derivative of the function represents the slope of the tangent line to the curve

F(x)= x³ +½x² −2x +3, F'(x) = 3(x3-1)+(1/2)(2)(x2-1)-2(x1-1)+0

F'(x)=3x2+x-2 is the slope of the tangent line

setting the slope =0 and solving the quadratic equations, you find all the

critical points of interest

3x2+x-2=0, solve by factoring (3x-2)(x+1)=0, then 3x-2=0, x= 2/3

and x+1=0, x=-1 substituting these values of x in the original equation

you get the corresponding values of F(x) such that;

F(x)= x³ +½x² −2x +3, F(x)=(2/3)3+1/2(2/3)2-2(2/3)+3

= 8/27+4/18-4/3+3 = 8/27+2/9-4/3+3/1 = 59/27 and the first point is

(2/3, 59/27)

F(x)= x³ +½x² −2x +3, F(x)=(-1)3+1/2(-1)2-2(-1)+3

= -1+1/2+2+3 = 9/2 and the 2nd point is ( -1, 9/2)

these two points represents points where the slope of the tangent line to the curve is 0 and could be either maximum or minimum points

You can also find the y intercepts where x = 0 F(x)= x³ +½x² −2x +3, setting x = 0, y= F(x)=3 and the point ( 0,3) is a y intercept setting y = 0, then x intercepts can be found upon solving the equation x³ +½x² −2x +3 =0

Answer:

see explanation

Step-by-step explanation:

Given

cosθ = - [tex]\frac{5}{13}[/tex]

This is a 5- 12- 13 right triangle

with adjacent = 5, opposite = 12 and hypotenuse = 13

In quadrant 3

sinθ < 0 and tanθ > 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = -  [tex]\frac{12}{13}[/tex] and

cscθ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{1}{-\frac{12}{13} }[/tex] = - [tex]\frac{13}{12}[/tex]

then

tanθ = [tex]\frac{sin0}{cos0}[/tex] = [tex]\frac{-\frac{12}{13} }{-\frac{5}{13} }[/tex] = - [tex]\frac{12}{13}[/tex] × - [tex]\frac{13}{5}[/tex] = [tex]\frac{12}{5}[/tex]

Answer:

C. -12 feet per minute

Step-by-step explanation:

This question is really just asking for the slope of this situation. So the best way to find the answer is to find the change in y over the change in x. In this case, y is the depth and x is the time. So, it would be -48/4 because the diver went down 48 feet when 4 minutes passed. Then, simply divide, -48/4, which equals -12 feet/1 minute.

Answer:

2 ( -2 ) -8 = -12

3 ( -3 ) -18 = -27

Step-by-step explanation:

Since Angie has 12 3/4 yards of fabric and all and each costume requires 7/8 yards, you can divide 12 3/4 by 7/8.

12 3/4 ÷ 7/8

= 51/4 ÷ 7/8

= 51/4 • 8/7 (remember that dividing by a fraction is the same thing as multiplying by it’s reciprocal)

= 51/1 • 2/7 (after simplifying)

= 102/7

= 14 4/7

Angie can make 14 costumes. She cannot make the 15th one because she’ll run short of fabric.

9514 1404 393

Answer:

  81°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent. The sum of the two angles at B is the same as the value marked at D.

  ∠CBD = 139° -58° = 81°

_____

Additional comment

The angles at A and C are both 41°, the supplement of the one marked 139°.

Answer: mathmatical estimate 46 million

Step-by-step explanation:

456million first guess

Answer:75

Step-by-step explanation:55+20=75

anser is

Step-by-step explanation:

618 is the answer

Answer:

There are 4 sixteenths in one-fourth

Step-by-step explanation:

how many sixteenths are there in 1\4?

There are 4 sixteenths in one-fourth

1/4 : 1/16 =

1/4 * 16 =

4

Answer:

3/20

Step-by-step explanation:

1/10=2/20

2/10=4/20

Answer:

hddhbd b v c c GG ffdrgbmnkhu

About 153 Winx. Because 5000 divided by 32.6 is 153.374233129.

Answer:

2 2/9

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

Answer:

1) (-A+B)=(B-A) is true

Step-by-step explanation:

I am guessing you are looking for which statement is true. The answer is 1, (-A+B)=(B-A), as the others are incorrect.

2) A x 0 = 0, not 1

3) - (-A) = A, not - A

4) A/B will not be the same as B/A unless the values of A and B are 1

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

8%

Step-by-step explanation:

u have to multiply the number with 100

0.08 * 100

8%

Answer:

Step-by-step explanation:

First Sheet, First Question

1) D

2) D

3) B

4) D

First Sheet, Second Question

a) SQR 16

b) 7/8, sqr -42

c) 3.692, 4 pie, sqr 1/4

Answer: Offer B because it will cost less.

Step-by-step explanation: Hope this helps :)

Answer:

$97.75

Step-by-step explanation:

115 times 0.85

Answer:

about a 5% chance

Step-by-step explanation:

That is, there is about a 5% chance that the third strike comes on the seventh well drilled.

Answer:

3/4 / 1/2

3/4 * 2/1

6/4

1 2/4

1 1/2 or 1.5

Answer:

am in callege i need points really much

Step-by-step explanation:

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

Answer:

Cause 25/25 is a whole number and 25/38 is not

Step-by-step explanation:

Answer:

-29a-6b+59c

Step-by-step explanation: