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2 years ago

The blue and orange lines represent a system. Use the

Mathematics

2 answers:

Nostrana [21]2 years ago

6 0

Answer:

2x + y = -5

-2x = y

2x = 4 -y

Step-by-step explanation:

The eqauation of the line will be expressed in the form of y = mx + c where

m = gradient

c = y -intercept.

From the lines, the following equations are applicable:

2x + y = -5

-2x = y

2x = 4 -y

Trava [24]2 years ago

5 0

Answer:

1. 2x + y = –5

4. –2x = y

5. 2x = 4 – y

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What is the inverse of the function f(x) = x +3?

OLga [1]

Answer:

h(x) = x - 3

Step-by-step explanation:

To find the inverse of a function, you can switch the x and y variables.

In f(x) = x + 3, the y variables is "f(x)".

y = x + 3

Now switch the x and y.

x = y + 3

Isolate for y and replace with h(x).

x - 3 = y

y = x - 3

h(x) = x - 3

5 0

2 years ago

Read 2 more answers

Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Alexxandr [17]

Answer:

$\%Percent = 30 \%$

Step-by-step explanation:

Given

$Shaded = 6\ cubes$

$Box = 5\ x\ 4$

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

$Box = 5\ x\ 4$

Express as multiplication

$Box = 5\ *\ 4$

$Box = 20$

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

$\%Percent = \frac{Shaded}{Box} * 100\%$

$\%Percent = \frac{6}{20} * 100\%$

$\%Percent = \frac{6* 100}{20} \%$

$\%Percent = \frac{600}{20} \%$

$\%Percent = 30 \%$

<em>30% were shaded</em>

5 0

2 years ago

Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

$\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}$

$\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000$

$=\frac{0.216\cdot \:1000}{1000}$

$=\frac{216}{1000}$

$216,\:1000$

$\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}$

$2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3$

$2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5$

$\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}$

$=2\cdot \:2\cdot \:2$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8$

$=8$

$=\frac{8\cdot \:27}{8\cdot \:125}$

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=\frac{27}{125}$

Hence, the correct answer is $=\frac{27}{125}$

6 0

2 years ago

Please help me

Anit [1.1K]

Answer:

Questions

What is an amount between $2 and $10? (A) ____$7______

What is an amount between $10 and $20? (B) ____$15______

What is an amount greater than $50? (C) _____$478_____

6 0

2 years ago

The length of Bill’s backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600

krok68 [10]

The width is 20 feet

4 0

3 years ago