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2 years ago

Assume f(x) = 2x – 3 and g(x) = 5 - 2x. Find

Mathematics

1 answer:

Drupady [299]2 years ago

7 0

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

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What is 3x+2+4x+5x+7x

geniusboy [140]

Answer:

3x +4x +5x +7x +2

19X+2

THE ANSWER IS 19x+2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

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

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

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

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

$V(8) = 1313.3$

<em>Hence, its value after 8 years is 1313.3</em>

3 0

2 years ago

I need help if anyone knows the answer please ASAP

mina [271]

Answer:

TE=11

Step-by-step explanation:

$x^2+6x=x+14\\x^2+6x-x-14=0\\x^2+5x-14=0\\(x-2)(x+7)=0\\x=2\\x=-7\\$

(you can't use -7 cuz that would make TE a negative distance and that's a nono)

$x=2\\TE=6(2)-1\\=12-1\\=11$

6 0

3 years ago

Stays rope is 4 feet shorter than 3 times the length of Travis rope.stacys rope is 23 feet long.write an equation and solve it

oksian1 [2.3K]

T = 3s - 4
T = 3(23) - 4
T = 69 - 4
T = 65

3 0

3 years ago

Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division

Kisachek [45]

Answer:

${x}^{2} - x + 3$

Step-by-step explanation:

Instead, since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, $-c$ gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → ${x}^{2} - x + 3$

You start by placing the $c$ in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to $c$ then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an ${x}^{2}$ , the −1 [ $x$ ] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of ${x}^{2} - x + 3$ .

I am joyous to assist you anytime.

5 0

3 years ago