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4 years ago

The graph of a logarithmic function is shown below.

Mathematics

1 answer:

Dmitrij [34]4 years ago

3 0

Domain means all the x-values include in the graph.

In this case the graph starts including x-values at 0 and all x-values that are greater then 0.

In other words x can be zero or anything larger

Technically you would show this like so:

x ≥ 0

You use the inequality symbol with the bar underneath because you want to show that 0 is included in the domain. It faces away from the zero and towards the x because x can be larger then 0 not smaller.

I guess in this case you wouldn't be including 0 so your answer is:

B. x > 0

Hope this helped!

~Just a girl in love with Shawn Mendes

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Rod is paid $85 to install a screen door and $115 to install a wooden door. In one week he installed 18 doors and was paid a tot

Rainbow [258]

Answer:Rod installed 7 screen doors

Step-by-step explanation:

Step 1

Let the number of screen door = x

And the number of wooden doors = y

since he installed 18 doors , we have that

screen door + wooden doors = 18

x + y = 18------ equation 1

Also the cost to install a screen door -= $85

and to install a wooden door = $115

And he was therefore paid a total of $1850

Therefore

85x + 115 y = $1860------- equation 2

Step 2----- Solving

x + y = 18------ equation 1

85x + 115 y = $1860------- equation 2

Multiplying equation 1 BY 85

85x + 85y= 1530------- equation 3

85x + 115 y = $1860------- equation 4

subtracting from equation 1 from (2)

115y- 85y= 1860-1530

30y=330

y = 330/30 = 11

To find x

x+ y=18

x= 18-y

x= 18-11= 7

Rod installed 7 screen doors and 11 wooden doors.

8 0

3 years ago

H is 60% of m. Also, r is 75% ofm. Work out h as a percentage of r.

ivolga24 [154]

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

h=80% of r

Step-by-step explanation:

6 0

3 years ago

Find the product and sum of the roots of the equation: 3x^2-10=0

cluponka [151]

● 3x^2 - 10 = 0

Add 10 to both sides

● 3x^2 - 10 + 10 = 10

● 3x^2 = 10

Divide both sides by 3

● 3x^2/3 = 10/3

● x^2 = 10/3

● x = √( 10/3 ) or x = - √( 10/3 )

● √(10/3) + (-√(10/3)) = 0

● √(10/3) × -√(10/3) = -10/3

3 0

3 years ago

What is the missing value; 9 to 7 = 45 to _____

ser-zykov [4K]

Answer:

9 to 7 = 45 to 35..

Step-by-step explanation:

Given function:

9 to 7 = 45 to x

to find x:

divide 45 by 9
$45*9=5$
if 9·5=45 then x would be 7·5..
$7$ · $5=35$

Therefore, x=35.

3 0

3 years ago

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

4 0

3 years ago