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2 years ago

5

a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope

and y intercept.

1 answer:

inna [77]2 years ago

6 0

8x-2y=24
-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12

slope: 4
y-intercept: -12

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What is an equation of the line that passes through the points (-6, 5) and (6, 7)?

e-lub [12.9K]

Answer:

$y=\frac{1}{6}x+6$

Step-by-step explanation:

Let $(x_1,y_1)\rightarrow(-6,5)$ and $(x_2,y_2)\rightarrow(6,7)$

<u>Determine slope</u>

<u /> $m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}$

<u>Use either ordered pair to find the y-intercept</u>

<u /> $y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b$

<u>Final equation</u>

<u /> $y=\frac{1}{6}x+6$

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2 years ago

Write each number as a logarithm with base 2:-3

expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

brainly.com/question/20785664

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1 year ago

Find the area of a circle, diameter measures 30 ft

Furkat [3]

Answer:

The A≈706.86

Step-by-step explanation

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·302≈706.85835

Hope this helps : )

8 0

2 years ago

Read 2 more answers

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Use the model found in part a (f(x) =29.76(1.0

NeTakaya

Answer:

The average rate of change from 1990 to 1991 is $0.387 \:\frac{million}{years}$

The average rate of change from 2000 to 2001 is $0.440 \:\frac{million}{years}$

Step-by-step explanation:

The average rate of change of function f(x) over the interval $a\leq x\leq b$ is given by

$\frac{f(b)-f(a)}{b-a}$

It is a measure of how much the function changed per unit, on average, over that interval.

From the information given:

The function that models the population t years after 1990 is $f(t) =29.76(1.013)^t$
The year 1990 is t = 0 and the year 2000 is t = 10.

1. The average rate of change from 1990 to 1991 is:

The interval is $0\leq x\leq 1$

$\frac{29.76(1.013)^1-29.76(1.013)^0}{1-0}\\\\\frac{1.013^1\cdot \:29.76-1\cdot \:29.76}{1-0}\\\\\frac{0.38688}{1-0}\\\\0.387 \:\frac{million}{years}$

2. The average rate of change from 2000 to 2001 is

The interval is $10\leq x\leq 11$

$\frac{29.76(1.013)^{11}-29.76(1.013)^{10}}{11-10}\\\\\frac{0.44022}{11-10}\\\\0.440 \:\frac{million}{years}$

8 0

2 years ago

ANSWER HELP SHOW WORK 15 POINTS

azamat

Answer:

m<-2

Step-by-step explanation:

-4m-3.65>4.35

-4m>4.35+3.65

-4m>8

4m<-8 (the greater than or less than sign flips when you multiply or divide by the - sign)

m<-2 (divide both sides by 4)

7 0

2 years ago