All categories

3 years ago

Factor this trinomial completely. 12x2 + 8x - 15

Mathematics

2 answers:

saul85 [17]3 years ago

8 0

My answer would be=8x+9

gtnhenbr [62]3 years ago

4 0

Answer:

$(6x-5)(2x+3)$

Step-by-step explanation:

The numbers that <em>multiply </em>to give $a\cdot{c}=12\cdot{-15}=-180$ yet <em>add </em>to give $b=8$ are 18 and –10.

$12x^{2}+8x-15\\12x^{2}+18x-10x-15\\6x(2x+3)-5(2x+3)\\(6x-5)(2x+3)$

You might be interested in

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago

PLEASE HELP ON BOTH OF THEM ITS DUE TODAY!!!

S_A_V [24]

Answer:

For the first one, the answer is 7.5, and for the second one, it's 1.5

Step-by-step explanation:

2 1/2 ÷ 1/3

5/2 ÷ 1/3

5/2 x 3/1

15/2 or 7.5

1/2 ÷ 1/3

1/2 x 3/1

3/2 or 1.5

HOPE THIS HELPS! ENJOY THE REST OF YOUR DAY!

7 0

4 years ago

Express the interval (-9,3]

aleksklad [387]

3-(-9)=12
answer of this question is 12

5 0

3 years ago

Use technology or a z-score table to answer the question.

Levart [38]

Answer: A:60%

Step-by-step explanation:

Since the scores for a golf tournament are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = scores for the tournament.

µ = mean score

σ = standard deviation

From the information given,

µ = 210

σ = 80

We want to find the probability percent of golfers that scored less than Ella. It is expressed as

P(x < 230)

z = (230 - 210)/80 = 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.5987

Therefore, the percent of golfers that scored less than Ella is

0.5987 × 100 = 59.87

Approximately 60%

6 0

4 years ago

Chris wanted to take a taxi from his home to the mall. The taxi driver said there was a $2.00 fee plus $0.75 per mile. Chris kne

Nitella [24]

Answer:

$10.25

Step-by-step explanation:

0.75 x 11 = 8.25

8.25 + 2.00 = 10.25

Total: $10.25

7 0

4 years ago

Read 2 more answers