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1 year ago

14

Determine the domain of (g ∘ f)(x) if f (x) = x2 + x − 3 and g of x is equal to 1 over the quantity x plus 1 end quantity period

{x ∈ ℝ| x ≠ −1} {x ∈ ℝ| x ≠ −2, 1} {x ∈ ℝ| x ≠ −2, −1, 1} {x ∈ ℝ}

1 answer:

otez555 [7]1 year ago

5 0

Answer:

rnkrmk;rmr

Step-by-step explanation:

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Square tablecloth has a perimeter of 12 feet what is the area of the tablecloth

Marizza181 [45]

To find the area of a square, do base times height.

If it is a square then all the sides are equal. Take 12 and divide it by 4 to find out that each side is 4 feet.

Base-4
Height-4

(4)(4)=16

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2 years ago

What is the square inches?

otez555 [7]

Answer:

<em><u>given </u></em><em><u>:</u></em><em><u>-</u></em>

<em><u>for </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>part:</u></em><em><u> length</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>i</u></em><em><u>n</u></em><em><u>,</u></em><em><u> breadth</u></em><em><u>=</u></em><em><u>8</u></em><em><u>i</u></em><em><u>n</u></em>

<em><u>for</u></em><em><u> </u></em><em><u>triangular</u></em><em><u> </u></em><em><u>part:</u></em><em><u>base=</u></em><em><u>8</u></em><em><u>i</u></em><em><u>n</u></em><em><u>,</u></em><em><u> </u></em><em><u>height=</u></em><em><u>3</u></em><em><u>i</u></em><em><u>n</u></em>

<em><u>area of the given fig:</u></em>

<em><u>area of the given fig:area of 2 triangles +area of rectangle </u></em>

<em><u> $→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2}$ </u></em>

<h2><em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u> </u></em><em><u>you</u></em><em><u><</u></em><em><u>3</u></em></h2>

<h3 />

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1 year ago

A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha

lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

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2 years ago

True of False: (log x)^2=2log x. Explain your answer and show your work

Lubov Fominskaja [6]

False.
Only log(x^2)=2log(x)
For example, let x=10
(log(10))^2=1^2=1
yet 2log(10)=2*1=2

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2 years ago

I need step by step answers I don’t understand this

shtirl [24]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept (0, b)</em>

<em />

$1.\ \text{Slope is}\ -2\to m=-2,\ \text{y-intercept is}\ -6\to b=-6\\\\\boxed{y=-2x-6}\\\\2.\ \text{Slope is}\ \dfrac{3}{7}\to m=\dfrac{3}{7},\ \text{y-intercept is}\ -1\to b=-1\\\\\boxed{y=\dfrac{3}{7}x-1}\\\\3.\ m=-8,\ b=11\\\\\boxed{y=-8x+11}\\\\4.\ m=0,\ b=-5\\\\\boxed{y=0x-5\to y=-5}\\\\5.\ m=-11,\ \text{y-intercept is}\ (0,\ 13)\to b=13\\\\\boxed{y=-11x+13}$

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2 years ago