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Triss [41]
3 years ago
15

. Simplify (4x + 2)3.

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
7 0

Answer:

(4x+2)^3=64x^3+96x^2+48x+8

Step-by-step explanation:

Given : Expression (4x+2)^3

To find : Simplify the expression ?

Solution :

Expression (4x+2)^3

Applying cubic identity,

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

(4x+2)^3=(4x)^3+(2)^3+3(4x)^2(2)+3(4x)(2)^2

(4x+2)^3=64x^3+8+96x^2+48x

(4x+2)^3=64x^3+96x^2+48x+8

Therefore, Simplification is (4x+2)^3=64x^3+96x^2+48x+8

BabaBlast [244]3 years ago
6 0

Answer:

Step-by-step explanation:

Multiply 3 times 4x which gives you 12. Multiply 3 times 2 which gives you 6. Your final answer is 12x+6

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A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y? y=
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Answer:

6

Step-by-step explanation:

To solve this , we use the equation of finding a slope wig a line.

m = (y2 - y1)/(x2 - x1)

From the question, we know that:

y2 = y

x2 = 3

y1 = 2

x1 = 1

m = 2

Hence,

2= (y - 2)/(3 - 1)

2 = (y - 2)/2

4 = y - 2

y = 2 + 4 = 6

4 0
2 years ago
The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc
Anna35 [415]
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero. 

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

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6 0
2 years ago
Solve the following formula c=1/2f(q+b) for q
tensa zangetsu [6.8K]

Answer:q= (2C - fb)/f

Step-by-step explanation:

multiplying both sides by 2 we have,

2C = fb + fq,

subtract both sides by fb

fq = 2C - fb,

dividing both sides by f

q= (2C - fb)/f

7 0
2 years ago
Find the measure of the numbered angle.
Mila [183]
The angle adjacent to angle 6 is the one we need to find first.  To do this, add the measures of the intercepted arcs and divide by 2.  60 + 50 = 110, and half of that is 55.  That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent).  The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well.  360 - 55 - 55 = 250.  Split that up between angle 6 and its vertical angle to get that each of those measure 125.  Angle 6 measures 125, choice b from above.
4 0
3 years ago
Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

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From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
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