Write an equation that gives the proportional relationship of the graph. A) y = 1 3 x B) y = 2x C) y = 3x D) y = 6x

Answer: 8.8pi

Step-by-step explanation:you have to divide 12 by 1.35 then you get your answer.

Answer:

Step-by-step explanation:

[tex]g(x) =\frac{1}{2} f(x+3)+\frac{1}{2}[/tex]

Following changes are made in f(x) i.e. Line m to get g(x) i.e. the Line m'

1) Multiplication of f(x) by 1/2

Multiplying the function by a number indicates dilation. So this means Line m is dilated by a factor of 2. The dilation in this case is compression. So the function is being compressed by a factor of 2.

2) Addition of 3 to x

Addition of a value directly to x shifts it horizontally towards left. So Line m is shifted 3 units to left.

3) Addition of 1/2 to function value

Addition of a number to function value indicates vertical upward shift. So the Line m is shifted up by 1/2 units

Therefore, the correct answers are:

Answer:

I have tried the answer given on Math Nation and it told me the answer was wrong. The answers are:

Step-by-step explanation:

Answer:

Area = base * height

224 = 16 * height

height = 14

The height is 14 centimeters.

Your answer is c.

Answer:

5

Step-by-step explanation:

The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.

In the provided sequence

-1-(-6)=5

4-(-1)=5

9-4=5

14-9=5

Therefore the common difference, d=5

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312[/tex]

Answer:

yes

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction of two whole numbers, like 3/1 (3), 8/10 (0.8), or even something crazy like 23784/924433 (0.0257...). ... For example, pi and the square root of two cannot be expressed as a fraction of two whole numbers, so they are both irrational.

No 23/3 is a rational number.

Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.

Given here the number N=23/3 which is of the form p/q where p,q are integers, thus N is a rational number.

Hence, N is not a irrational number.

Learn more about irrational numbers here:

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Answer:

A. 8 cm sq

Step-by-step explanation:

Find the scale factor

new width/original width

8/1.6=5

calculate length of original rectangle

new length/scale factor

25/5=5cm

Find area of original rectangle

A=l×w

A=1.6×5=8cm²

A is the answer

You find the scale factor by doing 8÷1.6 which = 5

Then you do 25÷5=5

And then times 5 and 1.6 together to get 8cm sq

Answer: Vertical angles and linear pairs of angles

Step-by-step explanation:

1) Vertical angles are angles that are opposite each other when two straight lines intersect

2) A linear pair of angles is formed when two lines intersect. They are linear if they are adjacent angles formed by two intercepting lines. Linear pairs of angles add up to 180 degrees.

Answer:

1oz cost $0.39 which will be the unite rate

Step-by-step explanation:

Answer:

$0.39 per oz

Step-by-step explanation:

[tex]\frac{6}{2.34} =\frac{1}{x} \\\\6x=2.34\\\\x=\frac{2.34}{6} \\\\x=0.39[/tex]

Answer:

4.23691242438e+12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Communative: 12 x 5= 5 x 12 Associative: (5) + 6 = (8) + 3 Identity: 5 x 1= 5

Step-by-step explanation:

Commutative 3+4=4+3

Associative (1+2)+3= 1+(2+3)

Identity x+0=x

Answer:

6 = 2 • 3  

8 = 23  

18 = 2 • 32

Answer:

72

Step-by-step explanation:

Consider the least common multiple of 6 and 8

The multiples of 6 are : 6, 12, 18, 24, 30, 36, ......

The multiples of 8 are : 8, 16, 24, 32, 40, ......

The common multiple is 24 or 48 or 72

The multiples of 18 are : 18, 36, 54, 72, 90, ....

Since 72 is a common multiple of 8 and 6 and also a multiple of 72

Then the least common multiple of 6, 18 and 8 is 72

Answer:

x > 80,000

Step-by-step explanation:

3600+1.02x<2000+1.04x

The first thing we need to do is to isolate the x's and get all of them on one side, let's start off by subtracting 2,000 from both sides of the equation.

1,600+1.02x<1.04x

Now, subtract 1.02x from both sides to get both the x's on one side.

1600<0.02x

Divide by 0.02 to solve for x.

80,000<x

We can flip the sign and swap the places of the number and variable so that x is on the left side.

x > 80,000

To solve the inequality 3600+1.02x<2000+1.04x algebraically, follow the steps: Move terms, combine like terms, simplify, and isolate x.

To solve the inequality 3600+1.02x<2000+1.04x algebraically, we can follow these steps:

By following these steps, we can find the value of x that satisfies the inequality.

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The given polynomial 2x-4 is of degree 1 and is typically referred to as a linear polynomial because its highest power of the variable is 1.

The polynomial in question is 2x-4. It's important to note that the degree of a polynomial is the highest power of the variable that appears in the polynomial. In this case, the highest power of the variable 'x' is 1. Therefore, the polynomial 2x-4 is of degree 1. It is referred to as a linear polynomial because linear polynomials always have a degree of 1.

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The polynomial 2x-4 is a first-degree polynomial, also known as a linear polynomial.

The given expression, 2x-4, is a polynomial. A polynomial is a mathematical expression composed of variables and coefficients. In this case, the variable is 'x' and the coefficients are '2' and '-4'. This specific polynomial is of first degree, because the highest power of the variable 'x' is 1. Therefore, the given expression is a linear polynomial.

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Answer:

5,760,000

Step-by-step explanation:

9000000 x 8 x (6+2)/100=90000 x 8 x 8

                                         =5,760,000

I added 2 to 6 because of the additional 2 years.

Answer:

Step-by-step explanation:

g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

================================

f(x) = 1 + x

f(g(t)) = 1 + g(t)

f(g(t)) = 1 + t^2 - t

f(g(0)) = 1 + 0 - 0

f(g(0)) = 1

The answer I'm getting is 0.

Answer:

Step-by-step explanation:g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

Let's do this in steps.

#1. Subtract 4 from both sides.

16x = -4

#2. We'd technically be done, but we need to divide 16 into 4 which is a fraction.

x = -14/6

#3. Simplify 14/6 to 1/4.

x = 1/4.

Decimal form is -0.25.

Ask any questions!

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, according to PEMDAS, you need to do multiplication and division from left to right.

3*6=18

Then, you divide that by 8:

18/8=2.25

Final answer:

2.25

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

With Remainder: 2 R2

Step-by-step explanation:

Multiply 3 and 6

= 18

Divide 18 and 8 = 2 R2

If you need it without the remainder, put it in the comments and I'll give it without the remainder.

Answer:

least to gratest is ,-33,-9,-3,3,15

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

We have

[tex]2r=4\ in\to r=2\ in\\\\H=8\ in[/tex]

Substitute:

[tex]V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3[/tex]

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

We have

[tex]r=2\ in\\\\H=0.7\ in[/tex]

Substitute:

[tex]V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3[/tex]

The volume of the plastic object:

[tex]V=V_1-V_2[/tex]

[tex]V=32\pi-\dfrac{14\pi}{15}=\dfrac{480\pi}{15}-\dfrac{14\pi}{15}=\dfrac{466\pi}{15}\\\\\pi\approx3.141\\\\V\approx\dfrac{466}{15}\cdot3.141\approx97.6[/tex]

Answer:

B

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) and

f(x) - g(x) = 4x² + 1 - (x² - 5) = 4x² + 1 - x² + 5 = 3x² + 6 → B

To find (f-g)(x), we simply subtract g(x) from f(x) and combine like terms. The resulting function is (f-g)(x) = 3x^2 + 6, therefore the correct answer is B. 3x^2 + 6.

To find (f-g)(x), we subtract the function g(x) from f(x). Given f(x) = 4x^2 + 1 and g(x) = x^2 - 5, we perform the subtraction:

f(x) - g(x) = (4x^2 + 1) - (x^2 - 5)

First, distribute the negative sign through the g(x) function:

f(x) - g(x) = 4x^2 + 1 - x^2 + 5

Now, combine like terms:

f(x) - g(x) = 4x^2 - x^2 + 1 + 5

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

So the correct answer is B. 3x^2 + 6.

This is the answer.

Answer: {(5,0), (3,4)}

Step-by-step explanation:

You can apply the Substitution method:

- Solve for y from the second equation.

- Substitute into the first equation and solve for x.

Then:

[tex]y=10-2x[/tex]

[tex]x^2+y^2=25\\x^2+(10-2x)^2=25\\[/tex]

(Remember that: [tex](a\±b)^2=a^2\±2ab+b^2[/tex])

[tex]x^2+(10^2-2(10)(2x)+(2x)^2)=25\\x^2+100-40x+4x^2=25\\5x^2-40x+75=0\\x^2-8x+15=0\\(x-5)(x-3)=0\\\\x=5\\x=3[/tex]

Substitute the values obtained into one of the original equation and solve for y:

[tex]2(5)+y=10\\10+y=10\\y=0\\\\2(3)+y=10\\6+y=10\\y=4[/tex]

The solution set is: {(5,0), (3,4)}

Answer:

1:4

Step-by-step explanation:

Both 14 and 56 are divisible by 14

14/14 =1

56/14 =4

The ratio 14:56  becomes 1:4

Answer:

The system has no solution

Step-by-step explanation:

Encountering an incorrect mathematical statement anywhere within the solution such as

1 = 3 which of course is false

Indicates the system has no solution

Answer:

its b  because i took a test

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

Answer:

The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2

c:

Answer:

Step-by-step explanation:

Answer: D. 0.75

Step-by-step explanation: The bus was late 15 out of 20 times. Therefore, the experimental probability that the bus will be late is 0.75.

subsitute values

4(2) + 1/3 (3)^2

8 + 1/3 (9)

8 + 3

11

Answer:

20 x 31= 620 ft of fence

Step-by-step explanation: