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marishachu [46]

3 years ago

9

Travis visits different states every summer. This summer, he started with 4 states already visited 7 state per day. Write an equ

ation to model this situation (use d for days and s for states)

1 answer:

astra-53 [7]3 years ago

6 0

Answer: s = 4 + 7d

Step-by-step explanation:

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2. Check the boxes for the following sets that are closed under the given

son4ous [18]

The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is

a) Subtraction

b) Addition

c) AdditionSum

d) in this case we have two possibilities

* If we move to the right the addition

* If we move to the left the subtraction

The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.

The sequences shown can be defined by recurrence relations.

Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.

a) ... -7, -6, -5, -4, -3

We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term

-3 -1 = -4

-4 -1 = -5

-7 -1 = -8

Therefore the mathematical operation is the subtraction.

b) $0. \sqrt{1}. \sqrt{4}, \sqrt{9}, \sqrt{16}, \sqrt{25}$ ...

In this case we can see more clearly the sequence when writing in this way

$0, \sqrt{1^2}. \sqrt{2^2}, \sqrt{3^2 } . \sqrt{4^2} , \sqrt{5^2}$

each term is found by adding 1 to the current term,

$\sqrt{(0+1)^2} = \sqrt{1^2} \\\sqrt{(1+1)^2} = \sqrt{2^2}\\\sqrt{(2+1)^2} = \sqrt{3^2}\\\sqrt{(5+1)^2} = \sqrt{6^2}$

Therefore the mathematical operation is the addition

c) $... \frac{-10}{2}. \frac{-8}{2}, \frac{-6}{2}, \frac{-4}{2}. \frac{-2}{2}. ...$

The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is

To move to the right add 1

- $\frac{-10}{2} + 1 = \frac{-10}{2} - \frac{2}{2} = \frac{-8}{2}\\\frac{-8}{2} + \frac{2}{2} = \frac{-6}{2}$

To move left subtract 1

$\frac{-2}{2} - 1 = \frac{-4}{2}\\\frac{-4}{2} - \frac{2}{2} = \frac{-6}{2}$

Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is

a) Subtraction

b) Sum

c) Sum

d) This case we have two possibilities

If we move to the right the sum

If we move to the left we subtract

Learn more here: brainly.com/question/4626313

5 0

2 years ago

Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen

Rudik [331]

Answer:

24hours

Step-by-step explanation:

let Evan be x, Tyler=x-12,equate;1/x+1/(x-12)=1/8,to get x=24 or 4.The correct value of x=24 because if you take x=4 means that Tyler=-8hours which is impossible

8 0

3 years ago

PLEASE HELP I've tried everything 30 points!

Luda [366]

Answer:

(x+2)1x-8)=0

x=-2 or x=8

Step-by-step explanation:

The given quadratic expression is

$2 {x}^{2} - 12x - 32$

We equate this expression to zero to get:

$2 {x}^{2} - 12x - 32 = 0$

Let us divide through by 2 to get:

${x}^{2} - 6x - 16 = 0$

Split the middle term to get:

${x}^{2} - 8x + 2x - 16 = 0$

Factor

${x}(x - 8) + 2(x - 8) = 0$

Factor further to get

$(x - 8)(x + 2) = 0$

The solution are

$x = - 2 \: and \: x = 8$

7 0

2 years ago

The quadrilaterals ABCD and JKLM are similar.

Paha777 [63]

Answer: 4.8

Step-by-step explanation:

Corresponding sides of similar figures are proportional, so

$\frac{x}[4}=\frac{6}[5}\\\\x=4\left(\frac{6}{5} \right)=\boxed{4.8}$

7 0

2 years ago

Answer this and i’ll give you extra points

snow_tiger [21]

Answer:

Option (5)

Step-by-step explanation:

Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).

As shown in the graph,

Let the equation of the given line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, the given line passes through two points (0, -1) and (-1, 2)

Slope of the line 'm' = $\frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}$

= -3

y-intercept 'b' = -1

Therefore, equation of the line will be,

y = -3x - 1

And the function is,

g(x) = -3x - 1

Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.

Followed by the shifting of parent function by 1 unit down.

Therefore, Option (5) is the answer.

5 0

3 years ago