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Fed [463]
3 years ago
7

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct?
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

y - y'= \frac{y''-y'}{x''-x'}\times (x-x')

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

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Choose the correct simplification of 8x2(5x 2x2 − 3). 16x4 − 40x3 24x2 16x4 40x3 − 24x2 40x4 16x3 − 5x2 40x4 − 10x3 5x2
yKpoI14uk [10]

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

<h3>What do you mean by simplification?</h3>
  • Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
  • Making anything simpler is the act or process of simplification. Everyone is in favor of streamlining court procedures.
  • Certain "solving" issues are connected to "simplification" issues. Parentheses and even nested grouping symbols can be found in some equations, just like in some expressions. Whether we're working with equations (so we're also solving) or expressions (and only simplifying), the simplification procedure is the same in both cases.

The correct simplification of 8x2(5x 2x2 − 3).

8x^{2} (5x+2x^{2+1} -3)=8*2x^{2+2} -8*3x^{2}

                                =40x^{3} +16x^{4} -24x^{2}

Rearranging the above expression in descending order of power, we get:16x^{4} +40x^{3} -24x^{2}

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

To learn more about simplification, refer to:

brainly.com/question/723406

#SPJ4

4 0
2 years ago
What is the slope and y-intercept of the line 3x - 4y = 12?*
Lorico [155]

Answer:

m = 3/4; b = -3    

Step-by-step explanation:

1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:

3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3

2) Lines that are in slope-intercept form are represented by the formula y = mx + b. The number in place of m, or the coefficient of the x-term, represents the slope. The number in place of b represents the y-intercept. So, the slope of  y = \frac{3}{4} x-3  is \frac{3}{4}, and its y-intercept is -3.

5 0
3 years ago
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95% confidence lev
Vikentia [17]

Answer:

865

Step-by-step explanation:

We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.

Now we have the following formula:

n = [z / E] ^ 2 * (p * q)

where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.

Replacing these values we are left with:

n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]

n = 864.36

865 by rounding to the largest number.

3 0
3 years ago
£54 is 10% off what is the the original price
Schach [20]

Answer:

48.6

Step-by-step explanation:

50/10=5

4/10=.4

54-5.4=48.6

6 0
3 years ago
Hello please help! posted picture of question
notsponge [240]
The answer to this question is FALSE.

Domain is the set of all the numbers that we can input to the function or that can be used in place of x. The numbers which make the function undefined are excluded from the domain.

In the given exponential function, there is no any value of x which will make the function undefined, so the domain of the function if set of All real numbers. In general, domain of exponential functions is Set of All real numbers. 
5 0
3 years ago
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