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3 years ago

Factor the quadratic equations W^2-W-12

1 answer:

6 0

Given
W^2-W-12 = w^2+bW+c
b=-1,
c=-12
We look for m, n so that m+n=b=-1, m*n=c=-12, where m,n are integer factors of -12.

Now enumerate all possibilities for m*n=12
m n m*n m+n
1 -12 -12 -11
2 -6 -12 -4
3 -4 -12 -1 ....... so m*n=-12, m+n=-1
The factorization is then
W^2-W-12=(W+3)(W-4)

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What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?

Molodets [167]

To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)

From the graph
f(2) = 4
f(-2) = 4

Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0

The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.

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4 years ago

Read 2 more answers

X²=14x-45 step by step please

dolphi86 [110]

Answer:

X=9 and X=5

Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

X^2 - 14X +45 = 0

Now you can factor. Your looking for two factors that equal 45 and add to -14

All factors of 45:

1 and 45, 3 and 15, 5 and 9, -1 and -45,

-3 and -15, -5 and -9

So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors

(X-5)(X-9)=0

X-5=0 add 5 to both sides X=5

X-9=0 add 9 to both sides X=9

5 0

3 years ago

Gabriel uses 0.4 gallon of gasoline each hour mowing lawns. How much gas does he use in 4.2 hours

Sveta_85 [38]

0.4 gallons * 4.2 hours = 1.68 gallons

Gabriel uses 1.68 gallons in 4.2 hours.

3 0

3 years ago

At a team meeting, 80% of the tennis team was there. If there were 12

Illusion [34]

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

8 0

3 years ago

Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit que

jeka57 [31]

Answer:

She gained 5 points in overall

Step-by-step explanation:

Shana lost points for each wrong question = 2

So, She lost points for 5 wrong questions = $2 \times 5$

She lost points for 5 wrong questions = 10 points

Now, She gained points for each correct question = 5

So, She gained points for 3 correct questions = $5 \times 3$

She gained points for 3 correct questions =15

So, Overall gain = 15-10 = 5

She gained 5 points in overall

Hence the total number of points gained by her is 5 points

4 0

4 years ago