Which table represents a function with a greater rate of change than y = 3x?

x f(x)
–3 –12
–1 –4
4 16



x f(x)
–2 6
–1 3
1 –3



x f(x)
1 0.25
8 2
16 4



x f(x)
–9 3
–3 1
21 –7

Answer:

C. 42

Step-by-step explanation:

PEMDAS

1. Parentheses: (4 + 2) = 6

6² + 3 • 2

2. Exponents: 6² = 36

36 + 3 • 2

3. Multiplication/Division: 3 • 2 = 6

36 + 6

4. Addition/Subtraction: 36 + 6 = 42

42

Answer:

3rd Quadrant

Step-by-step explanation:

The "i" in complex numbers behave same as the y in real numbers, so basically this number translated in real would be same as (-14,-5).

To graph this, we have to go -14 units in x direction and -5 units in y direction. Basically, 14 units to the left and then 5 units down. That will place us in 3rd quadrant.

Hence, -14 -5i will fall in the 3rd quadrant of the complex plane.

Answer:

C. III

Step-by-step explanation:

Answer:

1.6 cm

0.625 day

Step-by-step explanation:

We are given that the grass in Jamie's yard grew 16 cm in 10 days.

It was growing at constant rate.

We have to find number of days taken by the grass to grow 1 cm and how many cm  grass grow in one day.

In 10 days , grass grow=16 cm

In 1 day, grass grow=[tex]\frac{16}{10}=1.6 cm[/tex]

Grass takes time to grow 16 cm=10 days

Grass takes time to grow 1 cm=[tex]\frac{10}{16}[/tex]=0.625 days

Hence, the grass grow 1 cm in 0.625 days and the grass grow 1.6 cm in one day.

To find the number of days it took for the grass to grow 1 centimeter, divide the number of days by cm of growth. This equals 0.625 days. To find how many centimeters the grass grew in a day, divide the total growth by the total number of days. This equals 1.6 centimeters per day.

The problem states that the grass in Jamie's yard grew 16 centimeters in 10 days at a constant rate. We can set up two equal ratios to find out how many days it took for the grass to grow 1 centimeter and how many centimeters it grew in 1 day.

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For this case we must find the values a, b, c:

[tex]2 (1.2x + 0.3) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x + 0.6) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We apply distributive property:

[tex](2.4x ^ 2-1.2x + 0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x ^ 2-0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We finish the term:

[tex]2.9x ^ 2 + 1.9x-1.6[/tex]

Answer:[tex]a = 2.9\\b = 1.9\\c = -1.6[/tex]

Answer:

D) 26

Step-by-step explanation:

f(x) = 3x^2 - 6x + 2

Let x = -2

f(-2) = 3(-2)^2 - 6(-2) + 2

      =3(4) +12+2

      = 12 +12+2

     =26

For this case we have a function of the form [tex]y = f (x).[/tex]

Where:

[tex]f (x) = 3x ^ 2-6x + 2.[/tex]

We must find the value of the function when [tex]x = -2.[/tex]

Substituting we have:

[tex]f (-2) = 3 (-2) ^ 2-6 (-2) +2\\f (-2) = 3 * 4 + 12 + 2\\f (-2) = 12 + 12 + 2\\f (-2) = 26[/tex]

Thus, the value of the function is 26.

Answer:

26

Option D

Answer:

x=-3 ;       x= 4

Step-by-step explanation:

zeros of the function are the value of x at which the function becomes zero. Or graphically when the graph line crosses the x-axis those values of x are the zeros of the function.

Finding zeros of given function f(x)= x^2-x-12/ x^2+x-12 by substituting f(x)=0

0=  x^2-x-12/ x^2+x-12

0= (x+3)(x-4)/(x-3)(x+4)

(x+3)(x-4)=0

(x+3)=0  ; (x-4)=0

x=-3 ;       x= 4

the zeros of the function f(x)= x^2-x-12/ x^2+x-12 are at point x=-3 and x= 4 !

Answer:

-3,4

Step-by-step explanation:

A.P.E.X

Answer:

The length L is 10 cm

Step-by-step explanation:

We need to find the length of the arc subtended by a central angle of 2 radians and the circle has radius of 5cm.

So, the formula used will be:

l = r  Θ

Where L= length of arc

r= radius of circle

and  Θ is angle

In The given question

L=?

r = 5 cm

Θ = 2 radians

Putting values in formula:

L = r  Θ

L = 5 * 2

L = 10 cm

So, the length L is 10 cm

Final answer:

The length of the arc subtended by a central angle of 2 radians in a circle of radius 5 cm is 5 cm.

Explanation:

The length of an arc subtended by a central angle can be found using the formula:

Length of arc = (central angle / 2π) × circumference of the circle

In this case, the central angle is 2 radians and the radius of the circle is 5 cm. The circumference of the circle is given by 2πr, where r is the radius. So, the length of the arc can be calculated as:

Length of arc = (2 / 2π) × (2π × 5) = 5 cm

10 ~ Spinning A 3

I hope this helps!~ I tried

Honestly I feel like it is 10.

The answer is 25%

If you roll 20 times in total and you land on two 5 times   5/20 = .25

Hope this helps!

Answer:

C.) 0.555

Step-by-step explanation:

This is annoying because we're dealing with decimals.

So, we need to know how density works. Density works by dividing mass (g) by volume (ml).

Since the empty bottle has a mass of 4,850g and the bottle + the liquid have a total mass of 6.160g, we'll subtract the bottle's mass from the total mass, giving us 1.310g. Again, we divide mass by volume to obtain density (which should be listed as g/ml).

1.310 ÷ 2.360 = ~0.555

Therefore, your answer is 0.555

The density of the liquid in the bottle is calculated by dividing the mass of the liquid (found by subtracting the mass of the empty bottle from the total mass when full) by its volume. The correct answer is C) 0.555 ml.

The subject here is density, which is a physical property of a substance that can be calculated by its mass over its volume. In your case, you are being asked to find the density of the liquid inside the bottle. This can be done by first, finding the mass of the liquid alone, then dividing that by the volume of the liquid given in the question.

The mass of the liquid can be found by subtracting the mass of the empty bottle from the total mass of the bottle when full (6.160g - 4.850g = 1.310g). The volume of the liquid is already given as 2.360 ml.

Finally, you compute the density by dividing the mass of the liquid by its volume (1.310g / 2.360 ml = 0.555 g/ml).

So, the correct choice is C) 0.555 ml.

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Answer:

52

Step-by-step explanation:

Answer:

64 in²

Step-by-step explanation:

Please, include the units of measurement:

"rectangular prism 4 in by 2 in by 3 in."

One side is 4 by 2 in², or 8 in²; another is 4 by 3 in², or 12 in², and the third side is 3 by 4 in², or 12 in².  We have 2 of each side, so the total surface area is

A = 2(8 in² + 12 in² + 12 in²) = 2(32 in²), or 64 in²

Step-by-step explanation:

cos 330°=cos ( 360 -30)

In fourth quad the value of cos A is positive .

All angles when subtracted by multiple of 180° or (π) the function remain same

cos (30°)=√3/2

Also-

Cos(330)=Cos(360–30)

since Cos(360-x)=cos(x) where x is in degree

Cos(330)=Cos(30)= √ 3 /2 ~ 0.866

Answer:

Answer:

cos ( 330 º ) = √ 3 /2

Explanation:

Remember that  

cos ( a − b ) = cos ( a ) cos ( b ) + sin ( a ) sin ( b )

and that  

330 º = 360 º − 30 º , so

cos ( 330 º ) = cos ( 360 º − 30 º ) = cos ( 360 º ) cos ( 30 º ) + sin ( 360 º ) sin ( 30 º )

The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. We know that  

sin 0 º  is 0, and that  cos 0 º = 1  so

cos ( 330 º ) = 1 ⋅ cos ( 30 º ) + 0 ⋅ sin ( 30 º )

cos ( 330 º ) = √ 3 /2

Hope This Helps!  Have A Nice Day!!

Answer:

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

Step-by-step explanation:

Sue has sweets = 18

Tony has sweets = 18

Sue give Tony  sweets = x

Sweets left for Sue = 18 - x

Sweets for Tony = 18 + x

Sue eats 5 sweets = (18-x) -5

Tony eat half of his sweets = (18 +x)/2

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

Answer:

Part A) The slope is undefined

Part B) The equation of the line is [tex]x=p[/tex]

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](p,a)\ (p,-a)[/tex]

Substitute the values

[tex]m=\frac{-a-a}{p-p}[/tex]

[tex]m=\frac{-2a}{0}[/tex]  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

[tex]x=p[/tex]

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

Answer:

The second set is a function as none of the x values repeat.

Step-by-step explanation:

In order for a set of ordered pairs to be a function, they must only have one range value for each domain value.

In other words, an x value cannot occur twice.

Within the first set, the value x=2 is repeated 5 times. This means that it is not a function

Within the third set, the value x=1 is repeated twice and x=4 is repeated twice, This means that it is not a function

Within the fourth set, the value x=1 is repeated twice and x=2 is repeated twice, this means that this is not a function

The second set is a function as none of the x values repeat.

Answer:

the second one is a function

Step-by-step explanation:

Answer: First Option

The points have the same x-coordinate value.

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists only one output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There are two output values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

Then the correct option is:

The points have the same x-coordinate value.

Answer:

D

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

Consider expression D

[tex]\frac{6}{x+5}[/tex]

This will be undefined when

x + 5 = 0 ⇒ x = - 5 ← excluded value → D

Answer:

D) 6/x+5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

In this example, we will use D

x + 5 = 0 ⇒ x = - 5 ( Excluded value )

Subtract 8 from both sides

-3x < 15 - 8

Simplify 15 - 8 to 7

-3x < 7

Divide both sides by -3

= x > -7/3

Answer:

x > - 2 1/3

Step-by-step explanation:

- 3x + 8 < 15

- 3x < 7

x > - 2 1/3

The area of the figure which is composed of a rectangle and a square is 76 km²

The figure in the image is composed of a rectangle and a square.

The area of a rectangle = length × width

The area of a square = length²

To determine the area of the figure, we add the area of the rectangle and the area of the square.

Area of the figure = ( length × width ) + ( length² )

Plug in the given dimensions:

Area of the figure = ( 9 km × 8km ) + ( 2 km )²

Simplifying; we get:

Area of the figure = 72 km² + 4 km²

Area of the figure = 76 km²

Therefore, the area of the composite figure measures 76 km².

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Answer: all real numbers

Step-by-step explanation: the domain for any function is always , all real numbers or in other words, negative infinity to positive infinity.

Answer:

c. x >= 0

Step-by-step explanation:

Answer:

A: 5 hrs.   B: 14 hrs. and 40 min.

Step-by-step explanation:

too long to explain.

In the first scenario, the frog takes 4 hours to get out of the 8-feet deep well. In the second scenario, it takes the frog 8 hours to get out of the 40-feet deep well.

The question is about calculated frog’s movement to get out of a well involving both climbing rate and slip-back rate during rest which brings us into the realm of simple arithmetic and mental math. Let's take each case one at a time.

The frog climbs 4 feet per hour but then slips back 2 feet. Therefore, effectively, the frog climbs only 2 feet per hour (4-2=2). After 3 hours, the frog would have climbed 6 feet (3*2=6). In the fourth hour, the frog would climb another 4 feet reaching a total of 10 feet, but since the well is only 8 feet deep, he would have already climbed out. Therefore, it would take the frog 4 hours to climb out of the well.

The frog climbs 6 feet per hour and slips back 1 foot, therefore effectively climbs 5 feet per hour (6-1=5). After 7 hours, the frog would have climbed 35 feet (7*5=35). In the eighth hour, the frog would climb additional 6 feet, reaching a total of 41 feet. Again, considering the well is only 40 feet deep, he would have climbed out at this point. So, it would take 8 hours for the frog to climb out of a 40 feet deep well.

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Answer:

Second option: This is a perfect cube.

Fourth option: The side length is 6 centimeters.

Fifth option: Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

You know that the volume of a cube can be calculated with:

[tex]V=s^3[/tex]

Where s is the lenght of any side of the cube.

Since you know the volume of this cube, you can calculate the side lenght by  solving for "s". You can make this taking the cube root of the volume.

Therefore, you get that the side lenght of this cube is:

[tex]s=\sqrt[3]{216cm^3}[/tex]

[tex]s=6cm[/tex]  

(Since it has exact cube root, it is a perfect cube)

Answer:

B,D,E

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

B. points A and B

Step-by-step explanation:

"Rate of change" is just a fancy name for slope.

The question asks for points on the graph having a slope of 5.  We know a slope of 5 is a positive (goes up from left to right) and it's quite steep.

By looking at the graph, we see that to have a slope of 5, it has to take place in the first half of the graph.

Let's look at the possible options:

A. Points D and F: From point D to point F, you're going down, so the slope is negative.  NO

B. Points A and B: goes up, pretty steep.  Let's calculate the slope.

Point A: (2,1), Point B: (3,6)

Slope = (6 - 1) / (3 - 2) = 5 / 1 = 5

We found it!

C. Points B and C: goes up, pretty steep too.  Let's calculate the slope:

Point B: (3,6) , Point C: (4,9)

Slope = (9 - 6) / (4 - 3) = 3 / 1 = 3, NO, not the slope we're looking for

D. Points C and E: goes down, NO,  not what we want.

Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

Answer:

Cost of the tiles for the kitchen is $1680

Step-by-step explanation:

From the figure attached,

Dimensions of the kitchen = 5 small squares by 3 small squares

Since 1 small square = [tex]\frac{1}{4}[/tex] inch

So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches

Map Scale has been given as

1 inch = 16 ft

Therefore actual dimensions of the kitchen will be

[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft

= 20 ft by 12 ft

Area of the kitchen = 20×12

= 240 ft²

Per square feet tile cost = $7

So the cost of tiling 240 ft² will be = 240 × 7

= $1680

Therefore, cost of the tiles for the kitchen is $1680

Answer:

4th bubble

Step-by-step explanation:

First FOIL: f(x) = x² + 3x - 4. Then convert from Standard Form [y = Ax² + Bx + C] to Vertex Form [y = A(X - H)² + K], where (h, k) is the vertex and -h gives the OPPOSITE terms of what they really are. So, you do this by completing the square [½B]²:

Remember, -h gives the OPPOSITE terms of what they really are, so your vertex is (-1½, -6¼).

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

Answer:

Option C.

The measure of the complement angle is [tex]18\°[/tex]

Step-by-step explanation:

Let

x-----> the angle

we know that

The complement of an angle is equal to [tex](90-x)\°[/tex]

The supplement of an angle is equal to [tex](180-x)\°[/tex]

we have

The complement of an angle is one-sixth the measure of the supplement of the angle

[tex](90-x)\°=(1/6)(180-x)\°[/tex]

solve for x

[tex](540-6x)\°=(180-x)\°\\ (6x-x)=(540-180)\°\\ (5x)=(360)\°\\ x=72\°[/tex]

Find the measure of the complement angle

[tex](90-x)\° ----> (90-72)=18\°[/tex]

Answer:

Option C. 18

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\text{What is 3}\frac{2}{3}\ + 5\frac{11}{24}[/tex]

[tex]\text{3}\frac{2}{3}\rightarrow 3\times3=9\rightarrow9+2=11\rightarrow\ \rightarrow\frac{11}{3}[/tex]

[tex]5\frac{11}{24}\rightarrow5\times24=120\rightarrow120+11=131\rightarrow\ \rightarrow\frac{131}{24}[/tex]

[tex]\text{Your problem becomes:}\frac{11}{3}+\frac{131}{24}[/tex]

[tex]\text{Solve that}\uparrow\text{and your should come up to}\rightarrow[/tex] [tex]\frac{73}{8}\ or\ 9\frac{1}{8}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{73}{8}\ or \ 9\frac{1}{8}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

V=167.5 cubic mm

Step-by-step explanation:

Volume of the Cone is given with the formula

[tex]V=\frac{1}{3} \pi r^2h[/tex]

though we are not specified what is radius and which one is the height , we are assuming that ,

Height = 10 mm

Radius = 4 mm

Substituting these values in the formula we get

[tex]V=\frac{1}{3} \pi 4^2 \times 10[/tex]

[tex]V=\frac{1}{3} \pi 160[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{502.40}{3}[/tex]

[tex]V=167.5[/tex]

Answer:

Step-by-step explanation:

We have

the square with side s = 3ft

four triangles with base b = 3ft and height h = 4ft

The formula of an area of a square:

[tex]A=s^2[/tex]

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=3^2=9\ ft^2[/tex]

[tex]A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2[/tex]

Answer:

33 ft&²

Step-by-step explanation:

multiply 4x3x3 = 36 and put half of 6, then it is 33 33ft²