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2 years ago

Factor the trinomial 2x^2+15x+7

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

(2x+1)(x+7)

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A coin is tossed 600times with the frequencies as:

brilliants [131]

Answer:

see below

Step-by-step explanation:

Total number of trials =600.

Number of heads = 342.

Number of tails = 258

On tossing a coin,

$let \: E_1 \: and \: E_2 \: be \: the \: events \: of \: getting \: a \: head$

and of getting a tail respectively.

then,

$1) \: P \: (getting \: a \: head) = \: P \: (E_1)$

$\longrightarrow \: \frac{number \: of \: heads \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{342}{600} = \frac{57}{100}$

$\longrightarrow \: 0.57$

$\red{ \rule{150pt}{3pt}} \:$

$2) P (getting \: a\: tail) =P (E_2)$

$\longrightarrow \: \frac{number \: of \: tails \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{258}{600} = \frac{43}{100}$

$\longrightarrow \: 0.43$

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2 years ago

Which of the following is an irrational number? A. π B. -16/3 C. 2.6 D. 18

victus00 [196]

Which of the following is an irrational number?

A. π

6 0

2 years ago

Read 2 more answers

Liz earns a salary of $2,100 per month, plus a commision of 5% of her sales. She wants to earn at least $2,400 this month. Writ

vladimir2022 [97]

(2,100*1)+(x*.05)=2,400

The first part is her salary per month multiplied by one month. The second part is her sales times the commission rate. Finally the last part is her ending earning goal.

Hope this helped!

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2 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 1

Lisa [10]

Answer:

See attachment

Step-by-step explanation:

The given inequality is $|x|>1$

By the definition of the absolute value function, we obtain the compound inequality.

$-x>1\:or\:x>1$

When we simplify we get:

$x1$

The graph for the solution set is shown in the attachment

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2 years ago

In Exercises 22 describe how the change affects

hodyreva [135]

Step-by-step explanation:

Total Surface Area of original cylinder

= (2×(22/7)×9)(9+24)

=18×22/7×33

=1,866.8

Total Surface Area of new cylinder

=(2×(22/7)×9/3)(9/3+24/3)

=(2×(22/7)×3)(3+8)

=6×22/7×11

=207.4

Change or Ratio of org. cylinder to new cylinder

=1,866.8/207.4

=9.0009

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2 years ago