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svetoff [14.1K]

3 years ago

10

I will mark brainliestand 40 points! :)

2 answers:

frosja888 [35]3 years ago

7 0

Answer is D) take 5 blocks away from the left side.

There are 8 blocks on the left and only 3 on the right, 8 - 3 = 5

Shalnov [3]3 years ago

3 0

Since there are 8 block on the left side and 3 on the right side, they have to have the same amount to be equal.

A) 8 = 3 + 3 → 8 = 6? No, this isn't right

B) 8 = 4 + 3 → 8 = 7? Nope

C) 8 - 3 = 3 → 5 = 3? No

D) 8 - 5 = 5 → 3 = 3? Yes, so to balance the two sides you would need to take 5 blocks from the left side (or add 5 to the right side but that isn't a choice)

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For the function f(x) = x2 -12, find (f o f-1)(4) A. 0 B. 4 C. 10 D. 6

slega [8]

We actually don't need to do any computation. By definition, the inverse function $f^{-1}$ changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.

You have to think like this: if the function makes a step further, the inverse function makes that same step back.

This means that the composition $f \circ f^{-1}$ is always the identity function $f(x) = x$ . In fact,

$(f\circ f^{-1})(x) = f(f^{-1}(x)) = x$

So, for every function, you have

$(f\circ f^{-1})(4) = f(f^{-1}(4)) = 4$

5 0

3 years ago

Simplify 2x – 9y + 4x + 11y by combining like terms and then evaluate at x = -2<br> and y = 4.

Mashcka [7]

Step-by-step explanation:

= 2x - 9y + 4x + 11y

First of all combining like terms

So

= 2x + 4x - 9y + 11y

= 6x + 2y

Now putting values

= 6 (-2) + 2(4)

= - 12 + 8

= - 4

7 0

3 years ago

Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0

1 year ago

What is the slope of the line that passing through (-2, 4) and the origin.

S_A_V [24]

Answer:

slope= -2

Step-by-step explanation:

using $\frac{y2-y1}{x2-x1}$ you plug in the values of (-2,4) and (0,0)

= $\frac{0-4}{0-(-2)}$

= $\frac{-4}{2}$

= -2

8 0

3 years ago

Read 2 more answers

Solve x2 + 1/2x +1/16=4/9

kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

$x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

$x=-\frac{11}{12}$ or $-0.917$

3 0

3 years ago