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kirill115 [55]
2 years ago
7

12x+6x^2(3x-2)-8x^2-7x

Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

 (((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

 (((12 • (x4)) +  24x3) -  7x2) -  6x

STEP

3

:

Equation at the end of step

3

:

 (((22•3x4) +  24x3) -  7x2) -  6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  12x4 + 16x3 - 7x2 - 6x  =

 x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2    12x3 + 16x2 - 7x - 6  is not a perfect cube

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Anastaziya [24]
H=height
y=number of years.

we have the next expresion:
h(y)=my+b  

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our  expression will be:
h(y)=18y +5

answer: h(y)=18y+5


7 0
2 years ago
How to find excluded values ?
Inessa [10]
Hello,

The method is to find the roots of the denominator.

x²-2x-15=x²+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)

Roots are x=-3 and x=5

Answer C
5 0
3 years ago
A point G on a segment on a segment with endpoints F(4, 8) and H(10, 12) partitions the segment in a 3:4 ratio. Find G. You must
Andru [333]

Suppose, we are given

two points as

F as (x1, y1)

H as (x2, y2)

assume  it divides  in m/n

we can use formula

G=(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})

now, we are given points as

F=(x1, y1)=(4,8)

x_1=4,y_1=8

H=(x2, y2)=(10,12)

x_2=10, y_2=12

\frac{m}{n} =\frac{3}{4}

so,

m=3,n=4

now, we can find  

x=(\frac{3*10+4*4}{3+4}, y=\frac{3*12+4*8}{3+4})

x=\frac{46}{7} , y=\frac{68}{7}

so, point is

G=(\frac{46}{7} , \frac{68}{7}).................Answer

7 0
2 years ago
Please helpppppppppppp
morpeh [17]

Answer:

7.7 km

Explanation:

Use cosine rule as here given two sides and one angle.

Cosine rule states:

a² = b² + c² - 2bc cos(A)

While solving, treat a = 7.5 km as to that opposite angle is given of 68°

then b = missing side, c = 5.2 km, A = 68°

Applying rule:

7.5² = b² + 5.2² - 2(b)(5.2) cos(68)

56.25 = b² + 27.04 - 3.8959b

56.25 - 27.04 = b² - 3.8959b

b² - 3.8959b = 29.21

b² - 3.8959b - 29.21 = 0

apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]

\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0

\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}

\sf b = 7.69 291 \quad or \quad b = -3.797

\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)

As length cannot be negative. Hence the value of b is only 7.7 km

7 0
1 year ago
Read 2 more answers
Please answer this correctly
V125BC [204]

Answer:

1/6

Step-by-step explanation:

P(8) = number of 8's / total = 1/3

Then keeping the card so we have 7 and 9

P(7) =  number of 7's / total = 1/2

P(8, keep, 7) = 1/3 * 1/2 = 1/6

4 0
3 years ago
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