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2 years ago

HELP

Mathematics

1 answer:

Bond [772]2 years ago

5 0

Answer:

3) y = 3x

Step-by-step explanation:

a line equation is typically written as

y = ax + b

a is the slope, the inclination of the line. it is defined as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

so, e.g. going from (0,0) to (4,12) means

x changes by +4 (from 0 to 4)

y changes by +12 (from 0 to 12)

so, the slope is +12/+4 = 3

and the line equation starts like this

y = 3x + b

now, b is the y-intercept : the y value, where the line intercepts (crosses) the y-axis. in other words, the y value where x = 0.

and we have that right away, as the line goes through (0,0). that IS the y-intercept point. the y value there is 0.

therefore, b=0.

and so the full line equation is

y = 3x

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What expression is equivalent to 4/7+1 1/3

omeli [17]

Answer:

1 19/21

Step-by-step explanation:

12/21+1 +7/21

19/21+1

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3 years ago

RST is dilated about the origin,O, to creat R’S’T’. Point R is located at (3,9) and point R is located at (1.2, 3.6). Which scal

sashaice [31]

Answer:

The scale factor used is 0.4

Step-by-step explanation:

Given

$R = (3,9)$

$R' = (1.2, 3.6)$

Required

Determine the scale factor of RST

The question can be solved using scale factor formula

Scale factor is calculated as thus;

$Scale\ Factor = \frac{New\ Length}{Old\ Length}$

In this case; R' is the new length and R is the old length

$Scale\ Factor = \frac{R'}{R}$

Substitute the values of R and R'

$Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}$

Factorize the denominator

$Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}$

$Scale\ Factor = \frac{1}{2.5}$

$Scale\ Factor = 0.4$

<em>Hence, the scale factor used is 0.4</em>

5 0

3 years ago

Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women

zmey [24]

Answer: No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.

Step-by-step explanation:

Since we have given that

$H_0:\mu =62.7\\\\H_a:\mu \neq 62.7$

Mean height = 61.5 inches

Standard deviation = 4.4 inches

n = 100

So, test statistic value would be

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{61.5-62.7}{\dfrac{4.4}{\sqrt{100}}}\\\\z=\dfrac{-1.2}{0.44}\\\\z=-2.727$

At 10% level of significance, in two tail test ,

z = 1.28

Since 1.28 > -2.727

So, we will accept the null hypothesis.

Hence, No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.

7 0

4 years ago

What value of m does the graph y = 18x2 + mx + 2 have exactly one x-intercept?

Vlada [557]

To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.

The discriminant for a graph with one x-intercept is found with the following formula:

$b^2 - 4ac = 0$

Plug in the values of the equation into this formula:

$\text{a = 18, b = m, c = 2}$
$m^2 - 4(18)(2) = 0$
$m^2 - 144 = 0$

Add 144 to both sides:

$m^2 = 144$

Square root both sides to get m by itself:

$\sqrt{144} = \pm 12$
$m = 12, \ m = -12$

In order for the graph to have one x-intercept, m must equal -12 or 12.

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4 years ago

How would you find the vertex for the following function<br><br> y = x ² + 4 + 3

Virty [35]

You would rewrite in standard form and use use (h, k) to find the vertex.

The vertex is (0,7) is you ask.

7 0

4 years ago