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3 years ago

Given line L = ax + by + c = 0, b(its suppose to be the equal sign with the slash going thru it) 0

Mathematics

1 answer:

Serga [27]3 years ago

8 0

<span>ax + by + c = 0
by = - ax - c
y = -a/b (x) - c/b

so slope = </span>-a/b

answer
-a/b

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Mr green makes some compost he mixes soil, manure and leaf mould in the ratio 3:1:2 mr greenmakes 72 literes of the compost. How

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Answer:

$36\ liters\ of\ soil$

Step-by-step explanation:

we know that

The ratio of soil, manure and leaf mould is $3:1:2$

That means

For every 6 liters of the compost, he use 3 liters of soil

so by proportion

Find how many liters of soil does he use for 72 liters of compost

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3 years ago

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Answer:

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3 years ago

Drilon got 63 out of 72 correct in his test. What fraction of the marks did he get correct?

tatyana61 [14]

Answer:

87.5%

Step-by-step explanation:

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3 years ago

Read 2 more answers

The domain of both

Margarita [4]

Answer:

The domain of function $h(x)$ is set of all real numbers.

Domain: (-∞,∞)

Step-by-step explanation:

Given:

$f(x)=x-6$

$g(x)=x+6$

the domain of both the above functions is all real number.

To find domain of :

$h(x)=f(x)g(x)$

Substituting functions $f(x)$ and $g(x)$ to find $h(x)$

$h(x)=(x-6)(x+6)$

The product can be written as difference of squares. $[a^2-b^2=(a+b)(a-b)]$

∴ $h(x)=x^2-36$

The degree of the function $h(x)$ is 2 as the exponent of leading term $x^2$ is 2. Thus its a quadratic equation.

For any quadratic equation the domain is set of all real numbers.

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3 years ago

Which of these function has a greater rate of change than the function graphed bean why

Marrrta [24]

Answer:

The 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Step-by-step explanation:

From the graph,

Taking two points

(0, 0)

(3, 9)

Finding the rate of change or slope between (0, 0) and (3, 9)

Using the formula

Rate of change = Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [9 - 0] / [3 - 0]

= 9 / 1

= 3

Thus, the rate of change or slope of the line = m = 3

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Considering the function in 2nd option

y = 10x+1

Comparing with the slope-intercept form of the line equation y = mx+b

The rate of change or slope = m = 10

Conclusion:

The rate of change or slope of the graphed line: m = 3

The rate of change or slope of y = 10x+1 is: m = 10

Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.

Hence, the 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

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3 years ago