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Rom4ik [11]
3 years ago
10

What is the point-slope form of a line with a slope -3 that contains the point (10,-1)

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
<h2>y + 1 = -3(x - 10)</h2>

Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1:  and 10 goes to the x1 spot

m:  -3 belongs in m

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Olenka [21]

Answer:  6.25    IF my assumption is correct about the missing x!

The Other way around:   4.5  with    2x² + y² / 3

Step-by-step explanation:  2y² + y² / 3  assuming the 2nd y should have been x, 1st y  is y,  and all divided by 3

2(3)² + (1.5)² / 3

2(9) + 2.25   /3

18 + 2.25  /3

20.25/3

6.25

Edited to correct!________ OR 2y² + y² / 3  assuming the 1st y should have been x, 2nd y  is y,  and all divided by 3

2(1.5)² + (3)² / 3

2(2.25) + 9  / 3

4.5 + 9  /3

13.5 /3

4.5

5 0
3 years ago
Read 2 more answers
Write an equation in point-slope form for the line through the given point with the given slope. (-3,-5); m=-2/5
love history [14]
The point-slope formula is y-y1=m(x-x1). So you will substitute the numbers into the equation. The answer is y+5=-2/5(x+3).
3 0
3 years ago
Caleb purchases 5 beach towels for d dollars each. Each towel is charged an additional 6% sales tax.
Assoli18 [71]
The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)

Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.

However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)

Simplifying this, we have 5d+0.3d = 5.3d.

All of the correct answers simplify to this expression.
6 0
3 years ago
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of
lora16 [44]

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 62 - 1 = 61

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.67

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

6 0
2 years ago
Mariah collects 3 spiders each spider has eight legs.Brian gives her 1more spider. how many legs do Mariah's spiders have altoge
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3 years ago
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