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3 years ago

Factor by grouping: a^2 + 2a + 6a + 12=

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

Answer:

Answer is given below with explanations.

Step-by-step explanation:

${a}^{2} + 2 a + 6a + 12 = 0 \\ a(a + 2) + 6(a + 2) = 0 \\ (a + 6)(a + 2) = 0 \\ a = - 6 \: \: \: \: \: (or) \: \: a = - 2$

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When dividing the polynomial using synthetic division, which of the following setup boxes would be used?

Galina-37 [17]

The setup boxes in the synthetic division are (b)

<h3>How to determine the setup boxes?</h3>

The dividend is given as:

x^3 + 4x^2 + x - 6

The divisor is given as:

x - 2

Set the divisor to 0

x - 2 = 0

Solve for x

x = 2

Remove the variables in the dividend

1 + 4 + 1 - 6

Remove the arithmetic signs

1 4 1 - 6

So, the setup is:

2 | 1 4 1 - 6

Hence, the setup boxes are (b)

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brainly.com/question/12951962

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2 years ago

Help pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!! T^T

artcher [175]

1 + (-5/8) = 3/8

Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)

Since he drank 5/8 of it. The coffee left is now 1-(5/8)

But since the question has asked to give the equation in addition format. Put a plus sign in between the two.

Therefore,
1 + (-5/8)

Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8

Hence the equation is:

1 + (-5/8) = 3/8.

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!! What is the mean absolute deviation (MAD) of the data set?

melisa1 [442]

Answer: 2.8

Step-by-step explanation:

The mean of the data set it 10. Then find the difference between the mean and each data value. |10-5|=5 do this for all of them. You get 5,1,1,1,6. Now find the mean of the these new data value. 5+1+1+1+6=14 14/5=2.8

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3 years ago

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64

Neporo4naja [7]

Answer:

A) reflection over the x-axis, plus a vertical translation

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3 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$