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weqwewe [10]
3 years ago
7

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer:

The answer is

<h2>y =  - 6x - 3</h2>

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

<h3>y  - y_{1} = m(x - x _{1})</h3>

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

<h3>y -  3 =  - 6(x - 0) \\ y - 3 =  - 6x</h3>

We have the final answer as

<h3>y =  - 6x - 3</h3>

Hope this helps you

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Calculate the interest produced by a principal of $ 4,500 at 5% annual simple interest in 8 months.
enyata [817]

Answer:

4,500 x 5 = 22,500

4,500 divided by 5 = 900

4,500 plus 5 = 4,505

4,500 minus 5 = 4,495

Step-by-step explanation:

it is either one of those that u have to choose from good luck

5 0
4 years ago
HELP!!! PLZZ THIS IS SO FRICKIN HARD!
krek1111 [17]

Answer:

14.3%

Step-by-step explanation:

1/7=0.142857142857

round that to the nearest tenth and that is 0.143

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8 0
2 years ago
the point (2,3) is in the terminal side of an angle theta, in standard position. what are the values of sine, cosine, and tangen
suter [353]
(2,3) so x=2, y=3 and h=(2^2+3^2)^(1/2)=√13

sina=3/√13, cosa=2/√13, tana=3/2 Afterwards multiply sina and cosa by √13/√13 and get sina=(3√13)/13 and cosa=(2√13)/13
8 0
3 years ago
A table top in the shape of a trapezoid has an area of 2250 square centimeters and the shorter base is 80 centimeters. The longe
Citrus2011 [14]
The area of a trapezoid has a formula of:
Area = (a + b) h / 2

Using the formula, we can easily find the height of the trapezoid.
<span>Area = (a + b) h / 2
</span>2250 = (80 + 100) h / 2
2250 = 180h / 2
2250 = 90h
h = 25 centimeters

So the height of the trapezoid is 25 centimeters.
3 0
3 years ago
The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish
Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

μ = population mean = 11 lb

s = population standard deviation = 6

n = sample size = 4

1st: Calculating for z when x = 8.6 lb

z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

 Probability (x = 8.6 lb) = 0.2119

 

2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

 Probability (x = 14.6 lb) = 0.8849


Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x <span>≤ 14.6 ) = 0.673                         (ANSWER)</span>

8 0
3 years ago
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