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3 years ago

Which equation best describes the line in the graph?

Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

Answer:b

Step-by-step explanation:

Give brainliest

wlad13 [49]3 years ago

3 0

Answer:

Step-by-step explanation:

The question is looking for an equation in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. The y-intercept is +4, which all of the answers show, so you must find the slope.

The slope is the change in y over change in x, more commonly referred to as rise over run. So count how many units the graph changes vertically and horizontally, in this case, 1 up and 2 right, so the slope is equal to 1/2. If you have a graph where the line shifts up and left, or down and right, then the slope is negative. Additionally, one way to visually check your work is to remember slopes equal to less than -1 or greater than +1 will be steeper while fraction slopes will make the slope flatter; basically the closer to zero the less steep.

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Generate three more random samples of fish.

seraphim [82]

Answer:it’s 6.33:20

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

A game at the school carnival involves drawing colored marbles out of a bag for a prize. If you draw a red or blue marble, you w

mina [271]

All up there are 20 marbles and only 6 of those are chances of winning so we make it into a fraction 6/20 then times 20 by five to get to 100 (what ever we do to the bottom we do to the top) times 6 by five giving you a fraction of 30/100 then divide 30 by 100 giving you 0.30 ANSWER EQUALS = 0.30

4 0

3 years ago

Help please show work

BARSIC [14]

Answer:

ok first you do the small one. 13 * 5 * 1/2 = 32.5 then you do 35 *1/2=17.5. you then divide 32.5/17.5=1.86

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Sunset, inc., has a book value of equity of $14,865. long-term debt is $8,675. net working capital, other than cash, is $2,315.

juin [17]

Balance sheet equation states that:

Assets, A = Liabilities, L + Equity, E => A=L+E

In the current case,
L = Long term debt + Current liabilities = $8,675+$1,865 = $10,540
E = $14,865

Therefore,
A = 14,865 +10,540 = $25,405

Now,
Current assets (excluding cash) = current liabilities+Net working capital, other than cash = $1,865+$2,315 = $4,180

Additionally,
A = Fixed assets+Current assets (excluding cash) + Cash

Therefore,
Cash = 25,405-20,660-4,180 = $565

8 0

3 years ago