All categories

2 years ago

Please give step by step explanation (2x + 3)(3x - 5)

Mathematics

2 answers:

Finger [1]2 years ago

7 0

Answer: 6^{2} - 19x + 15

Step-by-step explanation:

Expand

(2x−3)(3x−5)

using the FOIL Method.

2x(3x)+2x x -5 -3 (3x) -3 x -5

Simplify and combine like terms.

$6^{2} - 19x + 15$

Alika [10]2 years ago

5 0

Distribute:
2x(3x - 5) + 3(3x - 5)

6x^2 - 10x + 3(3x - 5)

6x^2 - 10x + 9x - 15

Combine Like Terms
6x^2 - x - 15

Solution
6x^2 - x - 15

You might be interested in

What is the value of x?

Helga [31]

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

7 0

2 years ago

What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

anastassius [24]

Answer:

$x =-24$

Step-by-step explanation:

Given

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Required

Solve for x

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Open all brackets

$\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3$

$\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3$

$\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3$

$\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3$

Collect like terms

$\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8$

$\frac{1}{3}x - \frac{1}{6}x =-4$

Solve fraction

$\frac{2-1}{6}x =-4$

$\frac{1}{6}x =-4$

Multiply both sides by 6

$6 * \frac{1}{6}x =-4 * 6$

$x =-4 * 6$

$x =-24$

8 0

2 years ago

A participant in a medical study walked 11,567 steps per day. If their steps are 2.5 feet per step, how many kilometers would th

Paladinen [302]

Answer:

Approximately 61.7 kilometers in a week

Step-by-step explanation:

11567 steps/day x 7 days/week x 2.5 feet/step x 1 kilometer/3280 feet = 61.7

8 0

3 years ago

What is −20÷45−20÷45 ? A. −25 B. −16 C− 1/16 D. − 1/25

stealth61 [152]

The answer is -25 i just took the test/quiz

7 0

3 years ago

10-1: Compound Probability

ahrayia [7]

Answer:

Step-by-step explanation:

Probability of black pens = 3/14

Probability of white paper clips = 16/40

to find the probability of black pen and white paper clip we have to multiply these two probability.

3/14 x 16/40 = 48/560 = 8.6

3 0

3 years ago