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Sergeu [11.5K]
3 years ago
9

Rewrite the quadratic function in intercept or factored form f(t)=20t^2+14t-12

Mathematics
2 answers:
user100 [1]3 years ago
5 0

Find the Greatest Common Factor (GCF)

GCF = 2

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(20t^2/2 + 14t/2 - 12/2)

Simplify each term in parenthesis

2(10t^2 + 7t - 6)

Split the second term in 10t^2 + 7t - 6 into two terms

2(10t^2 + 12t - 5t - 6)

Factor out common terms in the first two terms, then in the last two terms

2(2t(5t + 6) - (5t + 6))

Factor out the common term 5t + 6

<u>2(5t + 6)(2t - 1) </u>

lisabon 2012 [21]3 years ago
5 0

Answer:

t

=

1

2

,

−

6

5


Step-by-step explanation:

I hope this helped!

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Answer:

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Step-by-step explanation:

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2 years ago
A carpenter has less than 120 min. to spend painting furniture each day. Today, he has spent 30.5 min. painting a desk. Now he w
FinnZ [79.3K]

Answer:

Hence, a carpenter can paint a maximum of 7 chairs.

Hence, option A is correct.

Step-by-step explanation:

A carpenter has less than 120 min. to spend painting furniture each day.

Today, he has spent 30.5 min. painting a desk.

Now he will paint x chairs, each of which takes 12.5 min.

i.e. he will take a total of 12.5x minutes in painting 'x' chairs.

Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.

Hence,

30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)

⇒ 12.5 x<120-30.5

⇒ 12.5 x<89.5

⇒ x<7.16  ( on dividing both side of the inequality with 12.5)

Hence, a carpenter can paint a maximum of 7 chairs.


6 0
3 years ago
Read 2 more answers
Renee tossed 12 heads when tossing a coin 18 times.
Nadya [2.5K]
So,

Simply divide 12 by 18.
\frac{12}{18} --\ \textgreater \   \frac{2}{3}

The experimental probability of tossing heads was 2 out of 3.
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Give a verbal description of the following absolute value function<br> f(x) = 3 | x - 5 | + 4
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Answer:

It is the distance of x from zero. Examples:The absolute value

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The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

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