Use the table to write a linear function that relates y to x .

x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?

Answer:

36

Step-by-step explanation:

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

$16.43.

Step-by-step explanation:

At the grocery store, you spent $485.72. With 2% cashback, you would get 485.72 * 0.02 = 9.7144 dollars worth of cashback.

At other places, you spend $671.28. With 1% cashback, you would get 671.28 * 0.01 = 6.7128 dollars worth of cashback.

9.7144 + 6.7128 = 16.4272, which is about $16.43 of cashback.

Hope this helps!

The amount of cashback that you earned will be $16.42.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases.

The total cashback is calculated as,

⇒ 0.02 x $485.72 + 0.01 x $671.28

⇒ $9.71 + $6.71

⇒ $16.42

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Answer:

\( \sf \: x = 0\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2(x + 2) = 4

Then the value of x will be,

→ 2(x + 2) = 4

→ 2(x) + 2(2) = 4

→ 2x + 4 = 4

→ 2x = 4 - 4

→ 2x = 0

→ x = 0 ÷ 2

→ [ x = 0 ]

Hence, the value of x is 0.

The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

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Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in  

Answer:

Step-by-step explanation:

True statements :

30 > 10

10 < 30

False statements :

30 < 10

10 > 30

Circle: 30 > 10, 10 < 30

Cross out: 30 < 10, 10 > 30

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

We are given four number inequalities:

30 > 10

30 < 10

10 > 30

10 < 30

The first number sentence, "30 > 10", is true, since 30 is greater than 10.

The second number sentence, "30 < 10", is false, since 30 is not less than 10.

The third number sentence, "10 > 30", is false, since 10 is not greater than 30.

The fourth number sentence, "10 < 30", is true, since 10 is less than 30.

Therefore,

We would circle the first and fourth number sentences as true, and cross out the second and third number sentences as false.

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Answer:

3.3 miles

Step-by-step explanation:

not much to explain other than: round up 'cause of the 5!

Answer:

1 to 3

Step-by-step explanation:

because if you were to divide by 2 you would get your base number 1 that is simplest form

Given:

Distance traveled by sprinter = 200 m

Time taken by sprinter = 20.03 seconds

To find:

The sprinter's average speed rounded to 4 sf.

Solution:

We know that,

\(\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}\)

It is given that, the sprinter travels a distance of 200 m in a time of 20.03 seconds.

\(\text{Average speed}=\dfrac{200}{20.03}\)

\(\text{Average speed}=9.985022466\)

\(\text{Average speed}\approx 9.985\)

Therefore, the average speed of the sprinter is 9.985 m/sec.

Answer:

9.985

Step-by-step explanation:

Answer:

in my wisdom i think x=60 and y=60

Answer:

The answer is

\( \huge y - 8 = 4(x + 9) \\ \)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question we have the final answer as

\(y - 8 = 4(x + 9)\)

Hope this helps you

You have to divide 27 by 100 and that gives you .27.

If you multiply until you reach 32.13 with different numbers you get 19. It is a 19% increase.

Answer:

00.9

Step-by-step explanation:

Hope I hep. uuuuuuuuu

Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

Answer:

61.4

Step-by-step explanation:

An expression is given :

(7 - 2.3)2 + 52

We need to find the value of the above expression.

Using Distributive property :

a(b+c) = ab + ac

(7 - 2.3)2 + 52 = 7(2) - 2.3(2) +52

= 14- 4.6 + 52

= 61.4

Hence. the value of the above expression is 61.4. No option is correct.

Answer:

c

Step-by-step explanation:

Answer:

This guy is right (option c)

Answer:

3

Step-by-step explanation:

14 + n = 17

you have to isolate n by subtracting 14

n = 3

Answer:

x=3

Step-by-step explanation:

14+x=17    subtract 14 from both sides and you get x=3

The answer is A

Hope this helps!

as we can see in the graph 1

at x = 3 , y = 1

at x = 6 , y = 2

a x = 9 , y = 3

the common ratio is 3/1 = 3

6/2 = 3

9/3 = 3

so, it has same common ratio, thus it is proportional

in graph 2

at x = 1 , y = 4

at x = 3 , y = 6

at x = 5 , y = 8

the common ratio is,

4/1 = 4

6/3 = 2

so, it is not proportional.

thus, the answer is option B

Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The function for position x(t) could be x(t) = 3t^2 - 2t + 10.

In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.

This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.

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Answer:

B. (3x-12)+5/x

Step-by-step explanation:

Difference means - or minus

Three times a number x and 12= 3x-12

Increased= + or plus

quotient= / or divide

5 and the number x= 5/x

So the answer is,

(3x-12)+5/x

I hope you understand.

Answer:

$15,000

Step-by-step explanation:

to calculate the percentage of a number you put the percentag over 100 and multiply by the number, so in this case 5% of 10,000 is 5/100 × 10,000 which equals $500. You then multiply that annual income by the amount of years (which in this case is 10) we then get $50,

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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Answer:

$860

Step-by-step explanation:

21.50 times 8 = 172

172 times 5 = 860

CallmeCarson lol

Answer:

860$

Step-by-step explanation:

In order to find the answer to this question you need to multiply the amount of hours Carson worked to the amount of days he worked and then you need to multiply that by the amount he gets paid per hour.

\(21.50 = ph\)

\(hours=8\)

\(days = 5\)

\(8\times5=40\)

So he worked 40 hours a week

\(40 \times21.50 = 860\)

Therefore Mr.Carson has made 860$ that week.

Hope this helps.