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irakobra [83]
2 years ago
9

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of

the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for the slope, m?
Mathematics
1 answer:
Yakvenalex [24]2 years ago
6 0
Hey there! First, set up the equation y = mx + b<span>. Next, we're going to subtract b from both sides, leaving us with </span>y - b = mx. After that, divide the equation by x to isolate the variable "m". The answer is y-b / x = m. I hope this helps!
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What is the surface area of the pyramid? 12ft 10ft 10ft
jonny [76]

Answer:

2h x (l+b)

2x10 X (12+10)

20 X 22

44 cm cube is your answer...

3 0
1 year ago
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Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?
SashulF [63]

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

y =  -  \sqrt{x + 8}

The parent function is

y =  \sqrt{x}

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

5 0
1 year ago
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
1 year ago
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function
Law Incorporation [45]
It’s a. Start at the y intercept and rise over run to the next point.
8 0
1 year ago
If x = (10 − 3i) and y = (3 − 10i), then xy = -109i and x/y =
Yuliya22 [10]
Xy = -109i
We could find the value of i by substitute the algebraic form of x and y to the equation above

xy = -109i
(10 - 3i)(3 - 10i) = -109i
(10)(3) -3i(3) + 10(-10i) - 3i(-10i) = -109i
30 - 9i - 100i -30i² = -109i

multiply both side by -1
-30 + 9i + 100i + 30i² = 109i
30i² + 9i + 100i - 109i - 30 = 0
30i² - 30 = 0
30i² = 30
i² = 1
i = -1 or i = 1

Then find the value of x and y if i = -1
If i = -1, therefore
x = 10 - 3(-1)
x = 10 + 3
x = 13

y = (3 - 10i)
y = 3 - 10(-1)
y = 3 + 10
y = 13

x/y = 13/13 = 1

Then find the value of x and y if i = 1
x = 10 - 3(1)
x = 10 - 3
x = 7

y = (3 - 10i)
y = 3 - 10(1)
y = 3 - 10
y = -7

x/y = 7/-7 = -1

The value of x/y is either 1 or -1
7 0
1 year ago
Read 2 more answers
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