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3 years ago

What is -7 as a fraction and explain plss

Mathematics

1 answer:

Rasek [7]3 years ago

7 0

Answer:

-7/1

Step-by-step explanation:

any number over 1 in a fraction is the number on the top of one for example

2/1 is 2 and 100/1 is 100 and even -7/1 is -7

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Write the equation of the line in fully simplified slope-intercept form.

Bad White [126]

Answer:

$y = -\frac{2}{5} x-6$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m =\frac{y_2-y_1}{x_2-x_1}$ . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

$m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\$

So, the slope of the line is $-\frac{2}{5}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the $m$ , $x_1$ and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{2}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

$y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6$

6 0

3 years ago

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n

Andru [333]

To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:

Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. $10^{-8}$ .
So 0.000000016 expressed in scientific notation is 1.6x $10^-8$ , or in calculator notation 1.6E-8

We can conclude that the correct answers are 1.6E-8 and 1.6 × 10-8

3 0

3 years ago

Read 2 more answers

Helppppp (8th) plsss

IgorC [24]

Answer:

M= -2

Step-by-step explanation:

I hope this helps yoy

5 0

3 years ago

Read 2 more answers

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?

OverLord2011 [107]

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80

8 0

3 years ago

Given a sequence is defined by the explicit definition tn=n^2+n.... (questions attached)

s2008m [1.1K]

Question 1: The correct answer is Option 3: 20

Question 2: The correct answer is Option 3: 27

Step-by-step explanation:

We put the term number as value of n in explicit formula to find the term.

Question 1:

Given

$t_n=n^2+n$

To find t4, we will put t=4 in explicit formula

$t_4=(4)^2+4\\t_4=16+4\\t_4=20$

The correct answer is Option 3: 20

Question 2:

Given, the explicit formula

$t_n=2^n-n$

We have to find the 5th term, putting n=5 in the explicit formula

$t_5=2^5-5\\=32-5\\=27$

The correct answer is Option 3: 27

Keywords: Explicit formula, arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

5 0

3 years ago