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3 years ago

Y=-5x i ned help i forgot how to do this i really forgot and im in clas with my laptop

1 answer:

3 0

When you're graphing a line in slope-intercept form (y = mx + b), your first step is to look at b, which is your y-intercept. The y-intercept is where your line touches the y-axis.

Slope-intercept form is y = mx + b, but for y = -5x doesn't have a b, so you have to add one. You can do this by adding + 0 to the end, since it won't change your equation.

y = -5x + 0

b = y-intercept = 0

m = slope = -5

So, your line will start at 0 on the y-intercept, which will be at the origin point (0,0).

Your slope is -5, or $\frac{-5}{1}$ , so you'll go down 5 and then to the right 1.

A few points on your line should be (0,0), (1,-5), and (-1,5).

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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

In APQR, the measure of ZR=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ZQ?

Irina18 [472]

To find the angle Q we can us the sin law so:

$\frac{\sin (Q)}{48}=\frac{\sin (90)}{73}$

So we can solve for Q so:

$\begin{gathered} \sin (Q)=\frac{48}{73} \\ \measuredangle Q=\sin ^{-1}(0.6) \\ \measuredangle Q=36.87 \end{gathered}$

5 0

1 year ago

Solve the equation for x. 2 3 x −1 9 x + 5 = 20 x =

zubka84 [21]

Answer:

5/2

Step-by-step explanation:

23x-19x+5=2x

23x-19x-2x=5

2x/2=5/2

x=5/2

3 0

3 years ago

Read 2 more answers

Determine if √4 is rational or irrational and give a reason for your answer.

Anika [276]

Answer:

rational

Step-by-step explanation:

Because if you take the square root of 4 you get 2

if it was irrational then it would be a decimal or fraction

(plz mark braillist)

7 0

3 years ago

Ms. Wood spills a milkshake on a rectangular piece of paper as shown below. Which of the following best approximates the area of

MakcuM [25]

Answer:

b.300cm

Step-by-step explanation:

4 0

3 years ago