Round 644.4 to the nearest one.

Is the table linear or nonlinear? X 0 1 2 3 Y 2 4 8 16

RideAnS [48]

Answer:

It is linear

Step-by-step explanation:

The Y goes up by the same amount as the X (by 4 Y's per 1 X)

5 0

2 years ago

Three different ways to put 6(3x + 8) + 32 + 12x

Sever21 [200]

Answer:

Writing 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Step-by-step explanation:

As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,

Let way one be denoted as w₁

Let way two be denoted as w₂

Let way three be denoted as w₃

So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Keywords: operation properties, distributive law

Learn more about operation properties from brainly.com/question/13754344

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3 0

3 years ago

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

so

$p \ge 0.01$

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

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

So

$p \ge 0.01$

4 0

2 years ago

Heather spent $138 on shirts. Fancy shirts cost $26 and plain shirts cost $15. If she bought a total of 7, then how many of each

Jlenok [28]

She bought about 3.5

3 0

3 years ago

(PLEASE HELP!!!!) Replace ∗ with a monomial so that the expression can be rewritten as a square of a sum or a difference: 49−14x

victus00 [196]

Answer:

x^2

Step-by-step explanation:

i

3 0

3 years ago