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grin007 [14]
3 years ago
7

Plz help

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

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5.Solve the quadratic equation.
Dafna1 [17]

Answer:

x=5 twice

Step-by-step explanation:

x^2-10x+25=0

multiply the coefficient of x^2 and the last term

1X25=25

find two numbers you can multiply to get 25 and add to get -10

-5 + (-5)=-10 the middle term

replace -10x with -5x -5x and solve the equation

x^2-5x-5x+25=0

factorise by grouping

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

Either x-5=0,x=5 or x-5=0,x=5

Therefore x=5 twice.

5 0
3 years ago
Cosx=5/17. Solve for x
allsm [11]
Looks like the answer is 72.89 degrees, which is roughly equal to 73 degrees.
3 0
3 years ago
Read 2 more answers
Rounded to the nearest hundredth: 73 74 74 75 76 77 77 78 78 78 79 80 80 80 81 81 81 81 82 82 82 82 83 83 84 86 86 87 88
inn [45]
Answer is 100 as the next would be 200
7 0
2 years ago
Hi, may someone help me with this question? Thank you!:)<br><br> “If f(x) = x^2 + 7, find f(x+2)”
finlep [7]

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

         = (x+2)(x+2) +7

     FOIL

     = x^2 +2x+2x+4 +7

Combine like terms

    =x^2 +4x+11

5 0
3 years ago
Read 2 more answers
2 13/18 −z=1 19/36 <br><br>Answer
allsm [11]

Answer:

Answer is z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

3 0
3 years ago
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