Expand the logarithm.

log4 (3xyz​)2

Answer:

Graph  1, 4, 6 are functions.

Graph  2, 3, 5 are not functions.

Step-by-step explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph  1, 4, 6 pass the vertical line test, so they represent functions.

Graph  2, 3, 5 does not pass the vertical line test, so they are not functions.

Answer:

B and C

Step-by-step explanation:

B. You can tell because of the right angle

C.It has two sides that are equal

The triangle is classified below.

B. Right

C. Isosceles

In geometry, an isosceles triangle is a triangle that has two aspects of identical duration. Every so often it is specified as having exactly two facets of identical period, and once in a while as having at the least two aspects of equal duration, the latter version as a consequence consisting of the equilateral triangle as a special case.

A right triangle or right-angled triangle, or greater officially an orthogonal triangle, previously known as a rectangled triangle, is a triangle wherein one attitude is a right angle or two aspects are perpendicular.

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Answer:

Step-by-step explanation:

Where is f(x)?  My answers pertains only to g(x) = -x^2 + 2x + 4.

Part of B is true:  As x approaches infinity in either direction, g(x) approaches negative infinity.  The graph of g(x) is an inverted parabola.

Answer:

B. 67°

Step-by-step explanation:

Step 1: Find m∠B

180 - (48 + 19) = 113°

Step 2: Use Supplementary Angles rules

180 - 113 = 67°

Answer:

m<ABD is 113 degrees

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees.

Representing angle ABD by x, we have:

x + 48 degrees + 19 degrees => x + 67 degrees = 180 degrees.

Subtracting 67 degrees from boths sides, we get x = 113 degrees.

m<ABD is 113 degrees.

9514 1404 393

Answer:

  a) 7:24 pm

  b) later than 7:24 pm

Step-by-step explanation:

The relationship between time, speed, and distance can be written as ...

  time = distance/speed

So, Faris's travel time to London is predicted to be ...

  time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours

__

a) Faris's expected arrival time at a speed of 50 mph is ...

  3:30 pm +3:54 = 6:84 pm = 7:24 pm

__

b) Time is inversely proportional to speed, so a lower speed will result in a longer time.

Faris's arrival time will be later than 7:24 pm.

Answer:

m = -3/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the formula:

(0, 1) y-int

(4, -2) random

m = (-2 - 1)/(4 - 0)

m = -3/4

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

Answer:

Garden hose water flow in gallons per minute(x:y) = 12:1

Minutes per gallon water flow(y:x) = 1:12

Step-by-step explanation:

Complete question below

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.

Let

the garden hose water flow=x

Time of glow=y

x:y=36 gallons : 3 minutes

x/y=36/3

x/y=12/1

x:y=12:1

Therefore, garden hose water flow in gallons per minute is given by

x:y = 12:1

Minutes per gallon water flow

y:x=3:36

y/x=3/36

y/x = 1/12

y:x = 1:12

Therefore, minutes per gallon water flow is given by

y:x = 1:12

Table of equivalent ratio for x:y

36:3

24:2

12:1

Table of equivalent ratio for y:x

3:36

2:24

1:12

Answer:

6

Step-by-step explanation:

I = Person

April I May I I I I I

I April I May I I I I

I I April I May I I I

I I I April I May I I

I I I I April I May I

I I I I I April I May

Each situation will always have 1 person between them and there will always be 8 people.

finding domain:

to find the domain, we are finding all of the x values.

example:

say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)

the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:

domain:

{1,2,4,8,13}

conclusion:

since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!

Answer:

To find the perimeter of a shape we need to add its side lengths. Therefore the answer is 22.5 + 8 + 16 + 8 = 54.5 ft.

Answer:

Assuming its a right triangle the distance is 85 ft.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

plato

The required value of the scale factor is 2.50 in the given dilation.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

We have been given that a Polygon ABCD is dilated by a certain scale factor with the origin as the center of the dilation to form the image A'B'CD.

The length of AB = 5.6 units, and

The length of A' B' = 2.24 units.

We have to determine the value of the scale factor.

As we know scale factor is the ratio of sides in the original image and the image after dilation.

The scale factor = length of AB/length of A' B'

The scale factor = 5.6/2.24

The scale factor = 2.50

Therefore, the required value of the scale factor is 2.50.

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The total amount Annie earned last week 18x+25.

Annie  earns $18 per hour. and she worked x hours .

So, total work = 18 * x = 18x

but she earned some extra cash = 25$

now Annie's total amount with extra cash = 18x + 25

Therefore, The total amount Annie earned last week 18x+25.

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Answer:

B: 6x+27

Step-by-step explanation:

14+2(3x+9)-5

14+6x+18-5

14+6x+13

6x+27 is the final answer

The Answer is: B

Step-by-step explanation:

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

Answer:

5 dollars

Step-by-step explanation:

Let x be the price of each eraser

We bought a magazine and 4 erasers with 25 dollars

so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5

The eraser costs 5 dollars

Answer:

C.) (6, -2)

Hope this help!

Answer:c(6,-2)vis your answer

Step-by-step explanation: The guy above me is right

Answer:

Third Choice:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Step-by-step explanation:

One line has

[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

The next line's reason is that b/2a was subtracted from both sides.

The missing line is:

[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

Then it simplifies to

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Answer:

C) 63.9 square units

Step-by-step explanation:

From the above diagram, we can see that the triangle has 2 sides and and angle

The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ

θ = 70°

a = DE = 8 units

b = EF = 17 units

Area of ΔDEF = 1/2 × 8 × 17 × sin 70°

Area of ΔDEF = 63.9 square units.

Answer:

63.9 square units

Step-by-step explanation:I took the test

Answer:

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input        Output

 2            1/6

 3          17/48

 4          13/24

 5          35/48

 6          11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

Relative change = change in distance/change in time

(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.

So D is your answer! Hope this helped!

Rate of change is the change in a particular variable, over another variable.

The rate of change is: 3/16 miles per minutes

To calculate the rate of change, we select any two points on the table (see attachment)

[tex](x_1,y_1) = (2,\frac 16)[/tex]

[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]

The rate of change (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]

[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]

Take LCM

[tex]m = \frac{17- 8}{48}[/tex]

[tex]m = \frac{9}{48}[/tex]

Reduce fraction

[tex]m = \frac{3}{16}[/tex]

Hence, the rate of change is: 3/16 miles per minutes

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Answer: 0.38

Step-by-step explanation:

The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)

Answer:

[tex]= 452.38 {cm}^{2} \\ \\ [/tex]

Step-by-step explanation:

[tex]area = 4\pi {r}^{2} \\ = 4 \times \pi \times 6 \times 6 \\ = 452.38 {cm}^{2}

[/tex]

Step-by-step explanation:

given,

radius = 6cm

area =4× pi ×r^2

so, area=4×22/7×6^2

therefore the area of sphere is 452.5714cm^2.

hope its what you are searching for..

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

Answer: 4m + 3

Step-by-step explanation:

4m references the 4 bags of marbles and the m marbles in each bag.  + 3 references the extra 3 marbles.

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

Answer:

No

Step-by-step explanation:

Mean age = (the sum of the ages)/number of people

So,  if 7 is  replaced with 6 ,the sum will be different so the mean age will not be the  same

Answer:486

Step-by-step explanation:

(Multiply by 3 each time ;))

Hope this helped!

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Answer:

multipl each 3 times

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

608 ft

Step-by-step explanation:

(2(0.5bh)) + 2bh + bh

Answer:

its D

Step-by-step explanation:

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)