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ehidna [41]
3 years ago
5

Write the equation in standard form using factoring. f(x) = (2x + 1)(x – 4)

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

2x^2-7x-4

Step-by-step explanation:

=2x^2-8x+x-4

=2x^2-7x-4

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Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
PIUWawilities
blondinia [14]

Answer:

23.44%

Step-by-step explanation:

The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5

= 0.01116

There are 7C2 ways of the  2 4's  being in different positions

= 7*6 / 2 = 21 ways.

So the required probability =  0.01116 * 21

= 0.2344 or 23.44%.

3 0
3 years ago
Tom is mailing packages. Each small package costs him $3.30 to send. Each large package costs him $4.30 . How much will it cost
Kazeer [188]
3.30 x 5 = 16.50
4.30 x 7 = 30.10
30.10 + 16.50 = $46.60
8 0
2 years ago
Simplify the expression
AlexFokin [52]

Answer:

B

Step-by-step explanation:

\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2  }{4-16 \iota^2  }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}

5 0
3 years ago
Which of the following is a mixed number?
Elanso [62]
"a" would be the correct answer   <span />
3 0
3 years ago
Read 2 more answers
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