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3 years ago

Math 8: Linear Functions, Part 2

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Answer:

$\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}$

Step-by-step explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4

Substitute the values

$\boxed{\textbf{y + 5 = -4(x - 3)}}$

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1

Substitute the values

$\boxed{\textbf{y - 8 = x + 1}}$

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).

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Math homework help exponents

Len [333]

Answer + Step-by-step explanation:

$\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5$

$\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}$

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$(4^8)^3 = a^{8 \times 3}=a^{24}$

$\text{used property :} \ \ \ (a^n)^m = a^{n \times m}$

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$10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}$

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15⁶ × 15³ = 15⁶⁺³ = 15⁹

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Then

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1 year ago

The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a parti

frutty [35]

Answer:

The time the patient expected to survive after diagnosis is 29 years.

Step-by-step explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

$\mu=15\\\sigma=5$

An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

$X=\mu+a\sigma$

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Thus, the time the patient expected to survive after diagnosis is 29 years.

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2 years ago

Twelve diminished by six times a number

Vilka [71]

Twelve diminished by six times a number

12 - 6x

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3 years ago

Write the slope intercept form of the equation given the point (-2,4) and a slope of 3

Hitman42 [59]

Given the points:

(x, y) ==> (-2, 4)

slope, m = 3

To write the slope intercept form, use the form below:

y = mx + b

Where m = slope and b = y-intercept.

Now, substitute -2 for x, 4 for y, and m for 3 in the equation above to solve for b.

We have:

y = mx + b

4 = 3(-2) + b

4 = -6 + b

Add 6 to both sides:

4 + 6 = -6 + 6 + b

10 = b

b = 10

Therefore, the slope intercept form of the equation is:

y = 3x + 10

ANSWER:

y = 3x + 10

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1 year ago

Who will answer first i will mark the brainliest

m_a_m_a [10]

Answer:

It is b

Step-by-step explanation:

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2 years ago

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