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GrogVix [38]
3 years ago
7

Factor out the greatest common factor for 18x2 + 42x – 12.

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 *<u> 3 * 2</u>

42 <u>= 3* 2</u> * 7

- 12 = - 2 * <u>2 * 3</u>

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

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Gareth has a deck of cards with 12 challenge cards and 8 prize cards. Gareth is going to randomly select a card from the deck 14
GuDViN [60]

Answer:

Gareth has a deck of cards with 12 challenge cards and 8 prize cards.

=> The probability he selects a prize card: P = 8/(12 + 8) = 8/20 = 0.4

Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection .

=>The randomness is kept same for all selecting times

Then the best prediction for the number of times Gareth will select a prize card:

=> N = 0.4 x 148 = 59.2 = 59 times

Hope this helps!

:)

6 0
3 years ago
Find f(-2) for f(x)=2(4)^x
lesya692 [45]
For this case we have the following exponential function:
 f (x) = 2 (4) ^ x&#10;
 To find the value of f (-2) what we must do is substitute the value of x = -2 in the given function.
 We have then:
 f (x) = 2 (4) ^{-2}
 Then, rewriting the function we have:
 f (x) =  \frac{2}{4^2}
 f (x) =  \frac{2}{16}
 Finally, simplifying we have:
 f (x) = \frac{1}{8}
 Answer:
 
The value of f (-2) is:
 f (x) = \frac{1}{8}
 option B
6 0
4 years ago
Read 2 more answers
4 more than one third of a number n is 6. An equation is? The solution is n =?
harkovskaia [24]

Answer:

 \frac{1}{3}n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = \frac{1}{3}n

  4 more;

                \frac{1}{3}n  + 4

   is 6;

             \frac{1}{3}n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         \frac{1}{3}n  + 4  = 6  

                    \frac{1}{3}n = 6 - 4

                   \frac{1}{3}n = 2

                     n = 6

5 0
3 years ago
Find the are of the triangle​
Oksanka [162]

Answer:

5 units^2

Step-by-step explanation:

Area of a triangle =

\frac{bh}{2}

plugging in:

\frac{5 \times 2}{2}

\frac{10}{2}

5

4 0
3 years ago
Read 2 more answers
Ed bought 3 liters of water and 2750 milliliter of sports drink. Which did he have more of and how much more?
MAXImum [283]
1 liter = 1000 milliliter
3 (1000) = 3000 milliliter of water

water has more

3000-2750= 250 millimiter more than sports drink
8 0
3 years ago
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