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

Answers

Answer 1

Answer: If you would like to find the values of j and k, you can do this using the following steps:

8x^3 - 125 = (2x - 5) * (jx^2 + kx + 25)
8x^3 - 125 = 2jx^3 + 2kx^2 + 50x - 5jx^2 - 5kx - 125

8x^3 = 2jx^3
4x^3 = jx^3
j = 4

2kx^2 + 50x - 5jx^2 - 5kx = 0
2kx^2 + 50x - 20x^2 - 5kx = 0
2kx^2 - 20x^2 + 50x - 5kx = 0
2kx - 20x + 50 - 5k = 0
2x(k - 10) = 5k - 50
2x(k - 10) = 5(k - 10)
k = 10

The correct result would be: j = 4 and k = 10.

Answer 2

Answer:

Answer:

j=4 k=10 on edg ;)

Step-by-step explanation:

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A certain type of nuts are on sale at 0.35 per pound.Tamara buys 0.2 pound of nuts.How much will the nuts cost?

Answers

$cost=\ amount\ of\ nuts*cost\ per\ pound\n\ncost=0.35*0.2=0.7\n\nNuts\ cost\ 0.7.$

How many grams are in 15 kilograms? 1.5 150 1,500 15,000

Answers

Answer:

The last option 15,000 grams is correct.

Step-by-step explanation:

How many grams are in 15 kilograms?

We must know the relation between kilograms and grams.

1 kg = 1000 grams.

Now we have been asked to calculate the grams in 15 kilograms.

So, 15 kilograms has = $15*1000=15000$ grams

Therefore, the last option 15,000 grams is correct.

15000 because 15kg x 1000 = 15000g

What is the difference in elevation between High Point (673 feet above sea level) and Low point (80 feet below sea level)?

Answers

Answer:

The difference in elevation between High Point and Low Point is of 753 feet.

Step-by-step explanation:

Since High Point is located at 673 feet above sea level (+673) and Low Point is located at 80 feet below sea level (-80), in order to know the difference in elevation between both points we have to do the following calculation:

673 - (-80) = Difference

673 + 80 = Difference

753 = Difference

The difference in elevation between High Point and Low Point is of 753 feet.

Difference is subtraction so 673-80 = 593. 593 is your answer. ;) Hope I helped.

A furniture company makes large and small chairs. A small chair takes 30 minutes of machine time and 75 minutes of labor to build. A large chair takes 40 minutes of machine time and 80 minutes of labor to build. The company has 57 hours of labor time and 26 hours of machine time available each day. How many of each type of chair is built in a day?

Answers

Let the number of large chairs be x and small chairs be y
40x + 30y = 26 x 60 = 1,560 . . . . (1)
80x + 75y = 57 x 60 = 3,420 . . . . (2)

(1) x 2 => 80x + 60y = 3,120 . . . . (3)

(2) - (3) => 15y = 300 => y = 300/15 = 20

From (2), 80x + 75(20) = 3,420 => 80x + 1,500 = 3,420 => 80x = 3,420 - 1,500 = 1,920 => x = 1,920/80 = 24

Therefore, the company should produce 24 large chairs and 20 small chairs.

Sam rotated parallelogram ABCD 90° clockwise around the origin. If angle A is 130° and angle B is 50°, what is the degree measurement of angle A'?

Answers

Answer-

The measurement of angle A' will be 130° .

Solution-

Transformations like - rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

It doesn't matter the order or how much degree of rotation has taken place, the final image will be congruent to the original image.

So, even after the rotation of 90° clockwise around the origin, the measurement of angle A will be 130° and so do all the rest of the angles.

Answer:

B, 130 degrees.

Step-by-step explanation:

Given Δ ABC ≅ Δ EFG, What is the value of x? A. x= 45 °
B. x= 50 °
C. x= 85 °
D. x= 135 °

Answers

Answer: The correct option is (A) 45.

Step-by-step explanation: We are given that triangles ABC and EFG are congruent to each other, where

$m\angle A=50^\circ,m\angle G=85^\circ,m\angle B=x^\circ.$

We are to find the value of x.

We know that the corresponding angles of congruent triangles have equal measures.

So, m∠A = m∠E, m∠B = m∠F and m∠C = m∠G.

Also, since the sum of three angles of a triangle is 180 degrees, so from triangle ABC, we get

$m\angle A+m\angle B+m\angle C=180^\circ\n\n\Rightarrow 50^\circ+85^\circ+x^\circ=180^\circ\n\n\Rightarrow 135^\circ+x^\circ=180^circ\n\n\Rightarrow x^\circ=180^\circ-135^\circ\n\n\Rightarrow x^\circ=45^\circ\n\n\Rightarrow x=45.$

Thus, the required value of x is 45.

Option (A) is CORRECT.

Answer:

A. x = 45

Step-by-step explanation:

m<C = m<G = 85°

m<A + m<B + m<C = 180°

50° + x° + 85° = 180°

x = 45

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