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jok3333 [9.3K]
3 years ago
14

Which is the completely factored form of 4x2+28x+49?

Mathematics
2 answers:
zhenek [66]3 years ago
8 0

Answer:  The required factored form of the given expression is (2x+7)(2x+7).

Step-by-step explanation:  We are given to completely factor the following quadratic expression :

E=4x^2+28x+49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following factorization formula :

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

From (i), we have

E\\\\=4x^2+28x+49\\\\=(2x)^2+2\times x\times7+7^2\\\\=(2x+7)^2\\\\=(2x+7)(2x+7).

Thus, the required factored form of the given expression is (2x+7)(2x+7).

ratelena [41]3 years ago
5 0
<span> (2x+7)(2x+7) hope this helps</span>
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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
Vasko was renting a high performance bicycle for his Olympic training. Bicycle A is $25 per month and requires a down payment of
baherus [9]

he would need to rent it for a year or 12 months


6 0
3 years ago
The length of a side of a cube can be determinad
erik [133]

Answer:

4 cm

which is none of the listed answers

Step-by-step explanation:

∛64 = 4

proof:

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7 0
2 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
2 years ago
What mathematical process is the following formula performing: C2*D3?
tiny-mole [99]
Answer is D because C^2 ×D^2 the * mean ×
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