43k is an example of what? A. monomial B. binomial C. trinomial D. equation?

Which of these describes the equation –18x + 9y = –416?

Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

$18x + 9y = -416$

subtract 18x from both sides

$18x+9y-18x = - 18x-416$

simplify

$9y = -18x - 416$

divide both sides by 9

$y=-2x-\frac{416}{9}$

Now, comparing the equation $y=-2x-\frac{416}{9}$ with a slop-intercept form of linear equation

The slope m = -2

The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

From the attached graph, is also clear that the graph of the equation $y=-2x-\frac{416}{9}$ is a straight line.

Hence, option D is correct.

3 0

2 years ago

Read 2 more answers

What's the probability of obtaining a 3 digit number at random which is DIVISIBLE by 7

pochemuha

Answer:

32/225 ≈ 0.1422

Step-by-step explanation:

If you consider "3-digit" numbers to be between 100 and 999, inclusive, there are 128 such numbers divisible by 7. The probability of choosing one at random is ...

128/900 = 32/225 = 0.1422...(repeating)

__

If you consider all non-negative integers less than 1000 to be "3-digit numbers," then the probability is ...

142/1000 = 0.142 (exactly)

6 0

3 years ago

Factorise a x + b x minus A Y minus b y

shutvik [7]

X(a+b)-y(a+b)
*factor out (a+b)*
=(a+b)(x-y)

8 0

2 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

The table shows the battery life of four different mobile phones.

DanielleElmas [232]

10 * 0.775 = 7.75 So C

5 0

2 years ago

43k is an example of what? A. monomial B. binomial C. trinomial D. equation?​

43k is an example of what? A. monomial B. binomial C. trinomial D. equation?