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3 years ago

What is the slope of the line represented by the equation y = -x-3?

Mathematics

1 answer:

wariber [46]3 years ago

5 0

Answer:

(C) 1/3

Step-by-step explanation:

The slope intercept form: y = mx + b.

Note:

m = slope

b = y-intercept

x & y = (x , y) for the points.

You are trying to get the y-intercept of the following function given:

f(x) or y = (-2/9)x + (1/3)

1/3 is your answer, or (C), for 1/3 replaces the b inside the equation.

If you really need the slope, the slope of the following equation is (-2/9), which replaces the m inside the equation.

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What is 1 1/4÷ by 3 4/5

spin [16.1K]

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\div\cfrac{19}{5}\implies \cfrac{5}{4}\cdot \cfrac{5}{19}\implies \cfrac{25}{76}$

4 0

3 years ago

Read 2 more answers

Question 2 (5 points) What's the explicit rule for the sequence 9, 14, 19, 24, ...?

brilliants [131]

Answer:

adding by 5

Step-by-step explanation:

,...............................

6 0

2 years ago

4x + 8y=20 3x+6y=15 solve this system of equations

laila [671]

4x=20-8y

x=5-2y now use this value of x in the second equation...

3(5-2y)+6y=15

15-6y+6y=15

15=15 This is true for any y or x value.

So there are infinitely many solutions as the two equations describe the same line.

5 0

3 years ago

Read 2 more answers

A software developer wants to know how many new computer games people buy each year. Assume a previous study found the standard

Marrrta [24]

Answer:

The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.

Step-by-step explanation:

We have to calculate the minimum sample size n needed to have a margin of error below 0.14.

The critical value of z for a 95% confidence interval is z=1.96.

To do that, we use the margin of error formula in function of n:

$MOE=\dfrac{z\cdot \sigma}{\sqrt{n}}\\\\\\n=\left(\dfrac{z\cdot \sigma}{MOE}\right)^2=\left(\dfrac{1.96\cdot 1.7}{0.14}\right)^2=(23.8)^2=566.42\approx 567$

The minimum sample size to have this margin of error is n = 567.

3 0

3 years ago

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first

Daniel [21]

2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
    the second has 5 ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
   the first has 10 ways
   the second has 10 ways
    the third has 10 ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000

8 0

3 years ago