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3 years ago

Let f(x)=(5)x+12. Evaluate f(0) without using a calculator.

Mathematics

1 answer:

Lelu [443]3 years ago

8 0

Answer:

f(0) = 12

Step-by-step explanation:

You want to substitute 0 for x

f(0) = 5(0) + 12

f(0) = 12

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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

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

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

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

$V(8) = 1313.3$

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

3 0

2 years ago

a paperweight is in the shape of a pyramid. The base is a square with sides of 1.5 centimeters. The height of the paperweight is

Alona [7]

The answer is 1.5x3 which is 4.5 i am pretty sure.

4 0

3 years ago

Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.

Alinara [238K]

Answer:

She should have multiplied by 10,000

Step-by-step explanation:

Given table:

$\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}$

To find the conversion rate:

$\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000$

Therefore, 1 hectogram = 10,000 centigrams

So when converting hectograms to centigrams, multiply the mass by 10,000.

⇒ 50 hg × 10,000 = 500,000 centigrams

Rachel's error was that she should have multiplied by 10,000.

7 0

1 year ago

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A rhombus has sides 10 cm long and an angle of 60 degrees. Find the distance between a pair of opposite sides.

natta225 [31]

<span>angle A + angle B = 180 degrees ... rhombus and h is the perpendicular distance between two parallelsides of the rhombus. ... The side length of the rhombus is equal to 10 feet. Find its area. ... A rhombus has 2 congruent opposite acute angles and two congruent ... area of rhombus = 2 (1 / 2) (10 feet) 2 sin (60 degrees)</span>

6 0

3 years ago

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Please help i will mark brainliest

Mariana [72]

Answer:

6/11

Step-by-step explanation:

3 0

2 years ago