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andreyandreev [35.5K]

2 years ago

13

Determine the implied domain of the following function. Express your answer in interval notation.

1 answer:

Mandarinka [93]2 years ago

6 0

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

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15<br> G<br> F<br> H<br> 4) What is the value of x?<br> A) 10<br> B) 12<br> C) 15<br> D) 17

coldgirl [10]

Answer:

C) 15

Step-by-step explanation:

This is an isosceles triangle (two of the three angles are equal) so two of the sides are also equal. x is the same length as 15.

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2 years ago

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3 years ago

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Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

What is a king to a god

dexar [7]

Answer:

no-one God is the highest

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the average of these numbers to the nearest whole number. 516,497,501,528,476

defon

516+497+501+528+476= 2518

2518/5= 503.6

round up to 504

5 0

3 years ago