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Ugo [173]
2 years ago
12

Which of the binomials below is a factor of this trinomial ?

ormula1" title="x^{2} +5x+6" alt="x^{2} +5x+6" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
PIT_PIT [208]2 years ago
7 0

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A. x + 3

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EXPLANATION:

x^{2} +5x+6\\ = (x+2) * (x + 3)

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Therefore:

The correct answer: A. x + 3.

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How did the tempicher change if at first it increased by 5% and then increased by 20 percent
tensa zangetsu [6.8K]

Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

Now increase it by 5%.

1.05x

Now increase it by 20%.

1.2 * 1.05x = 1.26x

1.26x = 126% of x = 100% of x + 26% of x

100% of x is the same as x, so it is the same as the original x.

The increase is 26% of the original number.

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

3 0
3 years ago
How many real-number solutions does the equation have?
Nataly_w [17]

Answer:

Option b. Two solutions

Step-by-step explanation:

In order to find how many real number solutions the equation has we have to solve it

Given equation: -4x² + 10x + 6 = 0

taking 2 common from the equation

2(-2x² + 5x + 3) = 0

-2x² + 5x + 3 = 0

taking minus sign common from the above equation

2x² - 5x - 3 = 0

We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²

2x² - 6x + x - 3 = 0

taking common above

2x(x-3) + 1(x-3) = 0

taking (x-3) common

(2x+1)(x-3) = 0

2x + 1 = 0

2x = -1

x = \frac{-1}{2}

x - 3 = 0; x = 3

the solutions are

x=\frac{-1}{2},3

Both values are real numbers, therefore correct option is b

7 0
3 years ago
Read 2 more answers
What is two thirds divided by seven
Westkost [7]

Answer:

\frac{2}{21} i think

Step-by-step explanation:

5 0
2 years ago
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If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)
Alenkinab [10]

The question is

if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)

We use the synthetic division to find the remainder,

x-5=0

x=5

Now, write the coefficients of polynomial.


5 | 2  0  -3    5

   | ↓ 10  50  235

-------------------------------

     2 10  47  | 240→ is the remainder.

Quotient= 2x²+10x+47


Remainder= 240

4 0
3 years ago
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Before each football game, a coin is flipped to decide who will be on offense and defense. If the last twelve coin tosses result
ololo11 [35]

Answer:

C. each result is equally likely to occur

Step-by-step explanation:

There are only two options, heads or tails. And they both have a 50% chance.

5 0
3 years ago
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