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3 years ago

8x−6y=1 what is the slope of the line

Mathematics

1 answer:

Zepler [3.9K]3 years ago

6 0

Answer:

m = 4/3

Step-by-step explanation:

Two ways to do this problem.

Method 1 change the Method 2 If a linear equation is in

equation to slope-intercept form standard form, ax =by = c then

8x - 6y = 1 the slope = -a/b

-6y = -8x + 1 In 8x - 6y = 1 a = 8 and b = -6

y = (-8x)/-6 +1/-6 So m = - (8)/-6 = 8/6 = 4/3

m = -8/-6= 4/3

Note: Method 2 only works if the equation is in standard form.

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The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

kompoz [17]

9514 1404 393

Answer:

Step-by-step explanation:

If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:

20% = (1/2)(40%)

So, the number of green fish is 2×3 = 6.

_____

If you wanted to, you could write a couple of equations:

y - g = 3

y = 0.60(y +g)

Using the first equation to write an expression for y, we get ...

y = g +3

Using this in the second equation, we have ...

g +3 = 0.6(g +3 +g)

g +3 = 1.2g +1.8 . . . . eliminate parentheses

1.2 = 0.2g . . . . . . . . subtract g+1.8

1.2/0.2 = g = 6 . . . . . divide by 0.2

There are 6 green fish in the aquarium.

6 0

3 years ago

Which relation is a function?

zimovet [89]

Answer:

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3, 2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

B. {(4, 2), (3, 3), (2, 4), (3, 2)}

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1, 2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3, 2), (4, 1)}

This doe NOT repeat. Function.

6 0

3 years ago

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

ivann1987 [24]

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20$

Therefore, the equation is $y=20x$ , which shows a direct proportion between variables.

Now, in 24 hours, it would travel

$y=20(24)=480$

It would travel 480 miles.

Therefore, the right answer is the second choice.

8 0

3 years ago

Read 2 more answers

Jim and Dianna want to save for their child’s college expenses. They find an annuity that pays 6% annual interest, compounded mo

lana66690 [7]

Answer:

future value = $49163.8

so required amount will be $491200 nearest $100

Step-by-step explanation:

given data

annual interest rate = 6 %

annuity = $300 per month

time period = 10 years

to find out

how much money will they have for the college expenses

solution

we know that effective rate will be

effective rate = $\frac{0.06}{12}$

effective rate = 5 × $10^{-3}$

number of payment = 12 × 10 = 120

so future value will be express as

future value = annuity × $\frac{(1+r)^t-1}{r}$ .........1

future value = 300 × $\frac{(1+5*10^{-3})^{120}-1}{5*10^{-3}}$

future value = 300 × 163.8793

future value = $49163.8

so required amount will be $491200 nearest $100

7 0

3 years ago

Help asap please!!!!

Alexxx [7]

Answer:

(3, 1)

Step-by-step explanation:

Let the coordinates of B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid point formula:

$1 = \frac{ - 1 + x}{2}, \: \: \: 3 = \frac{5 + y}{2} \\ \\ 2 = - 1 + x, \: \: \: 6 = 5 + y \\ \\ 2 + 1 = x, \: \: \: 6 - 5 = y \\ \\ 3 = x, \: \: \: 1 = y \\ \\ x = 3, \: \: \: y = 1 \\ \\ B = (3, \: \: 1)$

3 0

3 years ago