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3 years ago

Select one of the factors of 4x2 + 5x − 6 a. (x-3) b. (4x-3) c. (4x+2) d. (x+6)

2 answers:

5 0

$4x^{2}+5x-6=4x^{2}+8x-3x-6=4x(x+2)-3(x+2)= \\ \\ (4x-3)(x+2)$

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Tema [17]3 years ago

3 0

Answer:

b ) One factor ( 4x - 3).

Step-by-step explanation:

Given : 4x² + 5x − 6.

To find : Find factors.

Solution : We have given

4x² + 5x − 6.

On factoring

4x² + 8x - 3x − 6.

Taking common 4x from first two term and -3 from last two terms.

4x ( x + 2) - 3 ( x + 2)

On grouping

( 4x -3) ( x + 2).

Factors ( 4x -3) ( x + 2).

Therefore, b ) One factor ( 4x - 3).

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Which number is a solution of the inequality?

padilas [110]

we know that

A number is an inequality solution if the number satisfies the inequality

Part 1) $10.6 < b$

rewrite the inequality

$b > 10.6$

The answer Part 1) is the option D $14$

Because $14$ satisfies the inequality

$14 > 10.6$ -----> is true

Part 2) $m > 7/12$

The answer Part 2) is the option A $1$

Because $1$ satisfies the inequality

$1 > 7/12$ -----> is true

Part 3) $8< x(7-x)$

we're going to verify every case

case A) For $x=2$

substitute the value of x in the inequality

$8< 2(7-2)$

$8< 10$ ------> is true

therefore

The number $2$ is a solution

case B) For $x=8$

substitute the value of x in the inequality

$8< 8(7-8)$

$8< -8$ ------> is not true

therefore

The number $8$ is not a solution

case C) For $x=-1$

substitute the value of x in the inequality

$8< -1(7-(-1))$

$8< -8$ ------> is not true

therefore

The number $-1$ is not a solution

case D) For $x=0$

substitute the value of x in the inequality

$8< 0(7-0)$

$8< 0$ ------> is not true

therefore

The number $0$ is not a solution

therefore

The answer Part 3) is the option A $2$

6 0

3 years ago

Read 2 more answers

Can you help me please

Dima020 [189]

Answer:

∠1 = 48

∠2 = 132

∠4 - 132

Step-by-step explanation:

∠3 and ∠1 are vertical angles

vertical angles are congruent ( equal to each other )

So if ∠3 = 48° then ∠1 also = 48°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180°

Hence, ∠3 + ∠4 = 180

48 + ∠4 = 180

180 - 48 = 132

Hence, ∠4 = 132

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

Hence, ∠2 = 132

4 0

2 years ago

How many weeks are in 5 years

Gnoma [55]

- -- There are 260.714 weeks total in 5 years.

But you can round by doing this:

52*5=260

This is because you have 52 weeks in a year and 55 years so you multiply.

6 0

3 years ago

Read 2 more answers

How many terms are in the polynomial abcd + e - h27 O two O three O five O six

Step2247 [10]

3 terms. Abcd is one term
E is another term. -h27 is the third term

8 0

3 years ago

A casino offers a game wherein a player can roll one six sided die. If the player rolls a 1or 2, they

SVETLANKA909090 [29]

Answer:

Expected Value of $2:

Win, 0.3333 x $3 = $1

Plus

Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

Step-by-step explanation:

Probability of a win = 2/6 = 0.3333

Probability of a loss = 4/6 = 0.6667

Expected Value of $2:

Win, 0.3333 x $3 = $1

Plus

Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

The casino game player's expected value is computed by multiplying each of the possible outcomes by the likelihood (probability) of each outcome and then adding up the values. The sum of the values is the expected value, which amounts to a loss of $0.33.

6 0

3 years ago