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Fynjy0 [20]
3 years ago
9

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

j=4\\k=10

Step-by-step explanation:

8x^3 - 125

\left(2x\right)^3-5^3

Use this formula:

x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

Where,

x=2x\\y=5

Substitute in the values.

\left(2x\right)^3-5^3=\left(2x-5\right)\left(2^2x^2+5\cdot \:2x+5^2\right)

\left(2x-5\right)\left(4x^2+10x+25\right)

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Suppose the total benefit of watching 1 baseball game is 100, the total benefit of watching 2 games is 120, and the total benefi
77julia77 [94]

Answer:

A. 5

Step-by-step explanation:

The marginal benefit of an article, B_m is calculated as:

B_m=\frac{DB_t}{DQ}

Where DB_t is the change in the total benefit of the article, and DQ is the change in the units of the article.

If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.

In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so DB_t and DQ are equal to:

DB_t=125-120=5

DQ = 3 - 2 = 1

Then, the marginal benefit of watching the third game is:

B_m=\frac{5}{1}=5

4 0
3 years ago
What is the value of x?
nirvana33 [79]

Answer:

25

Explanation:

By Using Pythagoras Theorem,

h^2=p^2+b^2

or, x^2=(24)^2+7^2

or, x^2=576+49

or, x^2=625

or, x=√625

•°• x=25

8 0
2 years ago
What is 3 and 1 over 4 - 1 and 1 over 2
vampirchik [111]
Are you add or subtracting
SUBTRACTION
3 1/4- 1 1/4 = 1 3/4
Addition
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3 0
3 years ago
Choose all of the expressions that are equal to 61. |−61| the opposite of −61 the opposite of 61 the distance from zero to −61 −
igomit [66]

Step-by-step explanation:

We need to choose all the expressions that are equal to 61.

(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.

(ii) The opposite of −61 ; It is true. Opposite of negative is positive.

(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.

(iv) distance from zero to −61 : It is true. Distance is positive always.

(v) −|61| : False. It remains negative.

(vi) −|−61| : False. It remains negative.

(vii) -(-61) : True. Double negative makes positive .

Hence, the correct options are : (i), (ii), (iv), (vii).

8 0
2 years ago
Read 2 more answers
I need the answer fast please !
Ahat [919]

Answer:

30

Step-by-step explanation:

Angles on a straight line are equal to 180°

180°-120°= 60°

Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

((180° - 90° - 60°= 30°))

6 0
2 years ago
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