Can someone help me with both of these? What do I do with the 68 and 79?

What is 3x4 when it is divided by 4

Anna71 [15]

Answer:

3

Step-by-step explanation:

3*4/4

4/4 is equal to 1

3*1

3

5 0

3 years ago

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Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

3 years ago

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Math-- Farmer Bill has 500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Bill doe

bixtya [17]

Answer:

Required dimensions of the rectangle are L = 200 m, W = 100 m

The largest area that can be enclosed is 20,000 sq m.

Step-by-step explanation:

The available length of the fencing = 500 m

Now, Perimeter of a rectangle = SUM OF ALL SIDES = 2(L+B)

But, here once side of the rectangle is NOT FENCED.

So, the required perimeter

= Perimeter of Complete field - Boundary of 1 open side

= 2(L+ W) - L = 2W + L

Now, fencing is given as 500 m

⇒ 2W + L = 500

Now, to maximize the length and width:

put L = 200, W = 100

we get 2(W) +L = 2(200) + 100 = 500 m

Hence, required dimensions of the rectangle are L = 200 m, W = 100 m

The maximized area = Length x Width

= 200 m x 100 m = 20, 000 sq m

Hence, the largest area that can be enclosed is 20,000 sq m.

6 0

3 years ago

Which of the following ratios will form a proportion with 2/3. a) 9/12 b) 6/15 c) 12/18 d) 6/8

Brums [2.3K]

The answer is c, 12/18.

4 0

3 years ago

Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5

kaheart [24]

<u>ANSWER: </u>

(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.

<u>SOLUTION: </u>

Given, two equations are x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We have to find whether (-5, 0.5) is a solution of given system or not.

For that, we have to solve the given two equations.

Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our process becomes easy.

Now equation (2) becomes

0.4x + 4y = 0 → ( 3 )

Now, add equation (1) and equation (3), we get

1.4x + 0 = -7

$x=\frac{-7}{1.4}=-5$

Now, substitute x value in (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

So, the solution for given equations is (-5, 0.5).

Hence (-5, 0.5) is the solution of given equations.

8 0

3 years ago

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