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2 years ago

What is the domain of the function X+1/x^2-6+8

Mathematics

2 answers:

astraxan [27]2 years ago

5 0

All real numbers except 4 and 2
Thanks, Louli for originally coming up with the answer

aliya0001 [1]2 years ago

3 0

Domain of the function X+1/x^2-6+8 is
R-(√6,-√6)

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Use the slope of the given line to construct a parallel line

Troyanec [42]

Answer:

y = - $\frac{4}{3}$ x - 7

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slope m of the given line using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = $\frac{-2-2}{3-0}$ = - $\frac{4}{3}$ , thus

y = - $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute P(- 3, - 3) into the partial equation

- 3 = 4 + c ⇒ c = - 3 - 4 = - 7

y = - $\frac{4}{3}$ x - 7 ← equation of parallel line

6 0

2 years ago

Read 2 more answers

Select the correct comparison set a set b O A the typical value is greater is set a the spread is greater in set b

salantis [7]

Answer:

(a)

Step-by-step explanation:

Given

See attachment for sets A and B

Required

The true statement about both sets

First, we calculate the typical values (mean) of set A and set B.

This is calculated as:

$Mean = \frac{\sum fx}{\sum f}$

For A:

$A= \frac{0*1+2*1+5*1+6*1+7*1}{1+1+1+1+1}$

$A= \frac{20}{5}$

$A =4$

For B:

$B = \frac{7 * 1 + 8 *1 + 9 * 2 + 10 * 1}{1+1+2+1}$

$B = \frac{43}{5}$

$B = 8.6$

<em>Here, we can conclude that B has a larger typical value</em>

Next calculate the spread (range) of sets A and B

This is calculated as:

$Range = Highest -Least$

For A:

$A = 7 - 0$

$A = 7$

For B

$B=10 - 7$

$B = 3$

<em>Here, we can conclude that A has a larger spread.</em>

<em>Hence, (a) is true</em>

6 0

2 years ago

What two nonnegative real numbers with a sum of 64 have the largest possible product?

Otrada [13]

The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.

<h3>How do we solve the nonnegative real numbers?</h3>

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

Read more about nonnegative real numbers

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6 0

1 year ago

What’s the cos a? what’s the tan a? what’s the sin a ?

Verizon [17]

Cos A) 16/20 or 4/5
Tan A) 12/16 or 3/4
Sin A) 12/20 or 3/5

8 0

2 years ago

help an ogre out- A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is th

trapecia [35]

Answer: 3.7 in.

Step-by-step explanation:

Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.

To find: The maximum radius of the basketball that the designer can create.

For this, Surface area of basketball = area of fabric

Formula: Surface area of sphere = $4\pi r^2$ , where r is the radius.

Then, $4\pi r^2=171.9$

$r^2=\dfrac{171.9}{4\pi}=\dfrac{171.9}{4\times3.14}\\\\\Rightarrow\ r=13.6863057325\\\\\Rightarrow\ r=\sqrt{13.6863057325}=3.69950074098\approx3.7$

Hence, the maximum radius of the basketball that the designer can create is 3.7 in.

4 0

3 years ago

Read 2 more answers