All categories

2 years ago

The table below shows the equations of five lines.

Mathematics

1 answer:

SVEN [57.7K]2 years ago

3 0

Answer:

a) line 3 because the coefficient of the term 5x, the slope is the greatest slope.

b) line 1 and 4 are parallel because they have the same slope: 2

c) line 1 with line 2 and line 4 with line 2 are perpendicular lines because their slopes are reciprocals negative.

d) line three crosses the y line at point 11

Step-by-step explanation:

Line 1. y = 2x - 3

Line 2: y = -2x + 3

Line 3: y = 5x + 11

Line 4: y = 2x - 10

Line 5: y = 1/2x - 5

You might be interested in

1. Lisa walked 48 blocks in 3 hours <br> _________blocks per hour

scoray [572]

To solve this, we divide 48 by 3.
48÷3=16
16 blocks per hour.

7 0

2 years ago

Read 2 more answers

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

2 years ago

Graph y < 1/3x + 1/2. What are the points???

mestny [16]

You don't have a graph there so idk if im right but i think its (0,2) and (3,1) plz tell me if im wrong :)

6 0

3 years ago

Read 2 more answers

A bag of mixed nuts has 14 almonds, 12 cashews, and 18 peanuts. If one nut is selected, what is the probability that a peanut is

LUCKY_DIMON [66]

18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

7 0

2 years ago

Read 2 more answers

Help!!!!!!!!!!!!!!!!!

Bogdan [553]

The answer is
a=6, b=12

8 0

3 years ago

Read 2 more answers