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

Answers

Answer 1

Answer:

a = -3/2 = -1.5

Step-by-step explanation:

(1+ax) (2+3x)³

Formula

(a+b)^3=a^3+3a^2b+3ab^2+b^3

(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]

(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]

8 + 12*3x + 6*9x^2 + 27x^3 + 8ax + 36ax^2 + 54ax^3 + 27ax^4

coefficient of x^2 is zero

54x^2 + 36ax^2

54 + 36a = 0

36a = -54

a = -3/2


Related Questions

URGENT I REALLY NEED THIS DONE, IM GIVING OUT 30 POINTS!

Determine if XY is tangent to circle Z.

A.) Yes
B.) No

Answers

It’s A (Yes) but I’m not sure

help please. thank you very much

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Answer: Offer B because it will cost less.

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

5/6 divided by 2 fhdhdgfgghhhhhggggu

Answers

5/6 = .83 repeating .83/2=.41666667

( can I please have brainliest) thank you!!

2. What is the probability that the third strike comes on the seventh well drilled?

Answers

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.

Location of point on number line after 1/10 before 2/10

Answers

Answer:

3/20

Step-by-step explanation:

1/10=2/20

2/10=4/20

Answer:

hddhbd b v c c GG ffdrgbmnkhu

2. A scuba diver dove 48 feet in 4 minutes.
What integer represents his change in depth
for each minute?
A. 52 feet per minute
B. 44 feet per minute
C. -12 feet
per
minute
D. -48 feet per minute

Answers

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.

Setting 7/3 equal to which ratio would result in a valid proportion? 9/49 18/42 42/18 49/9

Answers

49/9 because if you simplify it, it would be 7/3 which is equal to the original ratio.

ABCD is a parallelogram.Find angle CBD.

Answers

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°.

find the inverse of -3y+5x=18

Answers

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

Is Y=x-3 and x-y=8 parallel perpendicular or neither

Answers

The two lines are parallel

5a + 7b - 12a + 6c - 13b - 22a + 53c

Answers

Answer:

-29a-6b+59c

Step-by-step explanation:

how many sixteenths are there in 1\4

Answers

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

5) How many turkeys will be eaten on Thanksgiving Day?

First Guess = __________

Average Turkey Weight = 27 pounds
Number of Americans = 328 million
Amount needed per person = 1.5 pounds
Percent of Americans that eat turkey on Thanksgiving = 91%

Mathematical Estimate = __________ (Show your work)

Answers

Answer: mathmatical estimate 46 million

Step-by-step explanation:

456million first guess

why is 25/25 larger than 25/38

Answers

Answer:

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

Step-by-step explanation:

what is 0.08 as a percent. ​

Answers

Answer:

8%

Step-by-step explanation:

u have to multiply the number with 100

0.08 * 100

8%

read bot stop answering my question no link no bot fast but wrong

Answers

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

Translate: 20 more than a number is 55.

Answers

Answer:75

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

Use approximations to 1 significant figure , check that your answer to part A ) makes sense

Answers

10,000 x 600
———————. = 600000
10

Subtract.

6 2/3 − 4 4/9


2 4/9

2 2/9

2 6/9

2 10/9

Answers

Answer:

2 2/9

Step-by-step explanation:

Calculaţi c.m.m.d.c. și c.m.m.m.c. al numerelor: 18; 120; 30; 450.​

Answers

anser is

Step-by-step explanation:

618 is the answer

Angie has 12 3/4 yards of fabric to make Halloween costumes. Each fabric costume requires 7/8 yards of fabric. How many costumes can Auntie make?​

Answers

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.

The price of a watch was $115 when it was launched last year. When a new version of the watch was released this year, the price of the earlier version of the watch decreased by 15%. Find the price of the earlier version of the watch this year.​

Answers

Answer:

$97.75

Step-by-step explanation:

115 times 0.85

A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find tanA, sinA, and cosA.

Answers

9514 1404 393

Answer:

tan(A) = 7/24sin(A) = 7/25cos(A) = 24/25

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


Let 0 be an angle in quadrant 3 such that cos0=-5/13.

Find the exact values of csc0 and tan0

Answers

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]

7. What is the value of the expression?

3/4 divided by 1/2

Answers

Answer:

3/4 / 1/2

3/4 * 2/1

6/4

1 2/4

1 1/2 or 1.5

A truck and carry a load of 5000 pounds assuming that it can be cut to fit how many feet of steel beam in Winx 32.6 pounds can the truck carry

Answers

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

I need help with my questions​

Answers

4 because of the comunitive property

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

Let y=r(x) be continuous and differentiable. Assume r'(x)=0 r′(x)=0 at x=ax=a.
If r'(x)<0 before x=a and r'(x)>0 after x=a

what must be true about r(a)?r(a)?
Choice 1: r(a) is a maximum value
Choice 2: r(a) is a minimum value
Choice 3: cannot determine based on this information

Answers

Answer:

am in callege i need points really much

Step-by-step explanation:

HELP ASAP I WILL GIVE BRAINLIEST!!

Answers

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

2 ( -2 ) -8

3 ( -3 ) -18

5 ( -1 ) …
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Answers

Answer:

2 ( -2 ) -8 = -12

3 ( -3 ) -18 = -27

Step-by-step explanation: