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inn [45]
3 years ago
11

Which of the following is equivalent to 6x^2+8x-8

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

( x - 2 ) & ( 3 x - 2 ) = 0 are the factors of the given equation.

Step-by-step explanation:

The given equation is 6 x² + 8 x - 8 = 0 ......................(i)

<em>Divide by 2 in equation (i) both sides-</em>

<em>3 x² + 4 x - 4 = 0</em>

<em>3 x² + 6 x - 2 x - 4 = 0</em>

<em>3 x ( x + 2 ) - 2 ( x + 2 ) = 0</em>

<em>( x - 2 ) (3 x - 2 ) = 0</em>

Hence ( x - 2 ) & ( 3 x - 2 ) = 0 are the factors of the given equation.

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Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
6(y+1.5)=18<br> what does y equals?
leva [86]

Answer:

Step-by-step explanation:

6y+9=18

6y=2

y=1/3

3 0
3 years ago
Read 2 more answers
60.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere
mojhsa [17]

Answer:

$203.02

Step-by-step explanation:

Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:

B= 200*e^{i*t}

Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):

B= 200*e^{0.015*1}

B= 203.02

April's balance would be $203.02 after one year.

5 0
3 years ago
7-8÷4(3^2-1) ~answer step by step please~
Schach [20]

Answer:

-9

Step-by-step explanation:

Simplify the following:

7 - 8/4 (3^2 - 1)

Hint: | Evaluate 3^2.

3^2 = 9:

7 - 8/4 (9 - 1)

Hint: | Subtract 1 from 9.

9 - 1 = 8:

7 - 2×8

Hint: | Divide 8 by 4.

8/4 = (4×2)/4 = 2:

7 - 2×8

Hint: | Multiply -2 and 8 together.

-2×8 = -16:

7 + -16

Hint: | Subtract 16 from 7.

7 - 16 = -9:

Answer:  -9

5 0
3 years ago
hakeem's frog made 3 quick jumps. the first was 1m. the second was 85cm and the third was 400mm. what was the total length in cm
azamat
1m=100cm
85 cm
400 mm=40 cm
Add up them up and you get 225 cm in total
4 0
3 years ago
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