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NeTakaya
3 years ago
7

Write the equation in slope intercept form of the line that is perpendicular to y=-3x+7 and passes through the point (6,-4)

Mathematics
2 answers:
seropon [69]3 years ago
5 0
The answer to this question is Y= -1/3 - 2
Gre4nikov [31]3 years ago
4 0
The equation is y = -1/3x-2.

To determine the equation, I remembered that for a equation to be perpendicular of another, the original slope will be the reciprocal. So, -3 will turn into -1/3. Then I written the equation y=mx + b. I wrote out -4 = -1/3 (6) + b because I plugged in the x and y values. Then I solved for b. The result I got for b was -2. 

After solving for b, the equation I found was y= -1/3x-2
You might be interested in
The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h
Nezavi [6.7K]

Answer:

a. 1200hours

b.  σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N =  nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the  σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means,  σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

     =400  √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?  

8 0
3 years ago
BRAINLIEST TO BEST ANSWER!!!!
Thepotemich [5.8K]
The equation would be y = -(3/4)x+1
5 0
3 years ago
4. 46 is what percent of 69?
sergij07 [2.7K]

Answer:

66%(technically 0.66 repeating)

Step-by-step explanation:

We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

percentage*69 = 46

Now that we formed this equation, we can solve for the percentage as if it was x.

First lets simplfy:

percentage*69 = 46 -- > 69percentage = 46

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

percentage = \frac{46}{69}

=

percentage=0.66

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

percentage = 0.66*100

=

percentage = 66%

Hope this helps! :3

4 0
3 years ago
Determine the end behavior of each rational function below. Graph each function on the graphing calculator, and
melomori [17]

Answer:

a) End behavior: As → ∞, () → . As → −∞, () → .

Looking at the ends of the graph, as goes to ∞ or −∞, gets

closer to .

b) End behavior: As → ∞, () → . As → −∞, () → .

Looking at the ends of the graph, as x goes to ∞ or −∞, gets

closer to .

c) End behavior: As → ∞, () → ∞, and as → −∞, () → −∞.

Looking at the ends of the graph, as goes to ∞, continues to increase

toward ∞, and as x goes to −∞, continues to decrease toward −∞.

Obs:. Graphics are attached

5 0
3 years ago
Solve the system using elimination.
Molodets [167]

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16  [Equation 1]

-x + 3y = 10 [Equation 2]

<u>Adding both equations</u>

  • x - x - 5y + 3y = -16 + 10
  • -2y = -6
  • y = 3

  • x - 5(3) = -16
  • x - 15 = -16
  • x = -1

<u>Solution</u> : (-1, 3)

5 0
2 years ago
Read 2 more answers
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