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2 years ago

Slope-intercept form

Mathematics

1 answer:

Jlenok [28]2 years ago

6 0

Answer:

y = mx + b

Step-by-step explanation:

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2 years ago

A lorry weighs 4.65 tonnes. It carries a load of 748 kg. What is the total weight of the lorry and its load?

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2 years ago

Read 2 more answers

Take a factor out of the square root:

Allisa [31]

Answer:

Question A)

$=\sqrt{6}x$

Question B)

$=3a\sqrt{a}$

Question C)

$=5\sqrt{2}b^2$

Step-by-step explanation:

We are given:

$\sqrt{6x^2}\, \text{ where } x\geq 0$

We can rewrite the expression:

$=\sqrt{6}\cdot \sqrt{x^2}$

The square root and square will cancel each other out. Thus:

$=\sqrt{6}x$

We are given:

$\sqrt{9a^3}$

Rewrite:

$=\sqrt{9}\cdot \sqrt{a^3}$

Note that the square root of 9 is simply 3. We can also factor the second part:

$=3\cdot \sqrt{a^2\cdot a}$

Rewriting:

$=3\cdot\sqrt{a^2}\cdot\sqrt{a}$

Simplify:

$=3a\sqrt{a}$

We are given:

$\sqrt{50b^4}$

Rewrite. Note that 50 = 25(2):

$=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}$

Simplify. We can rewrite the factor as:

$=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}$

The square and square root will cancel out. Thus:

$=5\sqrt{2}b^2$

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3 years ago

Find the extreme values of the function and where they occur. f(x)=x-4sqrt(x)

Tema [17]

The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0

f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.

Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.

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2 years ago

Slope-intercept form​

Slope-intercept form