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2 years ago

3. Which expression is equivalent to 1+2(x-1)

Mathematics

1 answer:

padilas [110]2 years ago

8 0

Answer:

2x - 1

Step-by-step explanation:

Equivalent Algebraic Expressions

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

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The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 22

Georgia [21]

Answer:

$V(x) = -\frac{340}{3}x +2220$

$V(8) = 1313.3$

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

$(x_1,v_1) = (0,2220)$

$(x_2,v_2) = (6,1540)$

Solving (a): The linear function

First, we calculate the slope (m)

$m = \frac{v_2 - v_1}{x_2 - x_1}$

This gives:

$m = \frac{1540-2220}{6-0}$

$m = \frac{-680}{6}$

$m = -\frac{340}{3}$

The linear function is calculated using:

$v - v_2 = m(x - x_2)$

Where:

$(x_2,v_2) = (6,1540)$

$m = -\frac{340}{3}$

So, we have:

$v - 1540 = -\frac{340}{3}(x - 6)$

Open bracket

$v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6$

$v - 1540 = -\frac{340}{3}x +680$

Make v the subject

$v = -\frac{340}{3}x +680+1540$

$v = -\frac{340}{3}x +2220$

So, the function is:

$V(x) = -\frac{340}{3}x +2220$

Solving (b): When x = 8

Substitute 8 for x in $V(x) = -\frac{340}{3}x +2220$

$V(8) = -\frac{340}{3}*8 +2220$

$V(8) = -\frac{340*8}{3} +2220$

$V(8) = -\frac{2720}{3} +2220$

Take LCM

$V(8) = \frac{-2720+2220*3}{3}$

$V(8) = \frac{-2720+6660}{3}$

$V(8) = \frac{3940}{3}$

$V(8) = 1313.3$

Hence, its value after 8 years is 1313.3

3 0

3 years ago

A survey handed out to individuals at a major shopping mall in a small Florida city in July asked the following: Gender Age Ethn

AysviL [449]

Answer and Explanation:

Gender data is categorical as it can be sorted into two categories - males and females - and does not involve any numerical values.

Age data is ratio as each person's age is a numerical value and it has a natural zero as point of origin. Moreover, the numerical values cannot be negative.

Ethnicity data is categorical as the various ethnicities to which those surveyed can belong are separate categories. There are no numerical values involved.

Length of residency data is ratio as the length duration is measured in number of years, thus having a numerical value. There is also a natural zero as point of origin and no possible negative values.

Overall satisfaction with city services data is ordinal as it is based on a ranking from poor to excellent.

Quality of schools data is also ordinal as it involves a ranking or definite ordering of data - from poor to excellent.

4 0

3 years ago

The path of a football can be modelled by the equation, h=-10d2+120d , where h represents the height, in metres, of the football

Marta_Voda [28]

Answer:

12 m

Step-by-step explanation:

The path of a football has been modeled by the equation:

$h= -10d^2+120d$

where h represents the height and d represents the horizontal distance.

When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.

=> $0= -10d^2+120d$

$=> 10d^2 - 120d = 0$

$d(10d - 120) = 0$

∴ d = 0 m

and

10d - 120 = 0

=> d = 120 / 10 = 12 m

There are two solutions for d when h = 0 m.

The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.

The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m

3 0

3 years ago

How do I find slope of (-15,-15), (12,2)

earnstyle [38]

y1-y2=m(x1-x2)

(-15,-15) (12,2)

y=17/27x-50/9

5 0

3 years ago

Helpmehhhhhhhh plzzzzzzzzzzz

valentinak56 [21]

8 is 53.8
Cuz 66.93-6.57x2= 53.78 rounded to the nearest tenth 53.8

3 0

3 years ago