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3 years ago

For which pair of functions is (gºf)(a) =la|-2

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

<h2> The third</h2>

Step-by-step explanation:

$(g\circ f)(x) = g\big(f(x)\big)$

so:

$I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7$

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(Ill give brainliest if ya help me :D)

Sergio039 [100]

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

4 0

3 years ago

plss can someone answer this really need help correct answer only plsss dont answer this for just a points i can brainly the cor

mylen [45]

The first solution involves the volume of a pyramid. With the parameters, the volume is given as: 51cm³

<h3>What is the Volume of a Pyramid?</h3>

The volume of a pyramid is given as:

V = (lwh)/3

Where:

L = base length
w = base width
h = pyramid height.

Hence, the volume of the pyramid is given as:

(6 x 5.2 x 4.9)/3

= 152.88/3

= 50.96

≈ 51 cm³

<h3>

What is the volume of the juice container?</h3>

Assuming that it is a cuboid, the volume for the shape of a cuboid is given as:
L x B x H

Where:

L = Length = 2cm

B (Width) = 34cm

H = Height = 12.2

Hence the Volume =

2 x 34 x 12.2

= 829.6

≈ 830 cm³

<h3>
What is the volume of the pit?</h3>

We are not given it's geometric description so we assume that it is a Cuboid.

Recall that the Volume of a Cuboid = L x B x H

Hence the Volume of the pit is:

7 x 5 x 8

<h3>= 280 cm³

How much space can a box that measures 50cm on each edge hold?

</h3>

From the question, we can infer that we are dealing with a Cube.

The volume of a cube is given as L³.

Recall that L = 50cm

Hence, the volume is = 50³
= 125,000‬ cm³

<h3>What is the volume of a rectangular prism?

</h3>

The formula for the volume of a rectangular prism is:

L x W x H; where

L (Length) = 130cm

W (Width) = 70cm

H (Height) = 110cm

→ 130 x 70 x 110

= 1,001,000 cm³

Learn more about volume at:
brainly.com/question/1972490
#SPJ1

7 0

2 years ago

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

Paul [167]

So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
$\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\ \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow \\
\textit{expand using binomial theorem, or FOIL}$

you'd end up with a quadratic, after simplifying, solve for "w"