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natka813 [3]
3 years ago
12

6. Determine how each multiplication or

Mathematics
1 answer:
tangare [24]3 years ago
3 0
A) 27, 81
b) -30,-15
c) -3, 1
d) -320, 1280
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Which is the equation of Line B?
notka56 [123]
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
  • Slope Formula: \frac{y_2-y_1}{x_2-x_1}

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

\frac{1-2}{1-(-3)}=-\frac{1}{4}

Next, plug either one of the points into the x and y coordinates to solve for b as such:

2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b

<u>Our final equation is y=-\frac{1}{4}x+\frac{5}{4} , or the third option.</u>

8 0
3 years ago
Given the equation 5 + x - 12 = x- 7.
marusya05 [52]

Answer:

Step-by-step explanation:

5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)

x - 7 = x - 7        (notice its the same on both sides of equal sign. Add 7 to both                    sides)

x = x

solution is all real numbers

Part B

5 - 4 - 12 = -4 - 7

-11 = -11

5 + 0 - 12 = 0 - 7

-7 = -7

5 + 5 - 12 = 5 - 7

-2 = -2

8 0
3 years ago
475 in scientific notation
Mashutka [201]

Answer:

Step-by-step explanation:

4.75 x 10^{2}

4 0
3 years ago
Read 2 more answers
A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean c
dusya [7]

Answer:

True

Step-by-step explanation:

Given that:

M = 27, sample of n = 36 scores, µ = 30 and σ = 18.

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}

Given that M = 27, this means that x = 27. Therefore:

z=\frac{x-\mu}{\sigma}\\\\for \ a\ sample\ size(n):z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{27-30}{18/\sqrt{36} } =\frac{-3}{3}=-1

This sample mean corresponds to a z-score of z = –1.00.

7 0
3 years ago
The polynomial p(x) has factors of x-5 and x-8. Which must be correct ?
aleksandrvk [35]

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

8 0
3 years ago
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