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Sauron [17]
3 years ago
13

1

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0

Answer:

reflected over the x-axis, compressed horizontally by a factor of 1/2.

Step-by-step explanation:

y(x) and f(x) means the same.

y = -(2x) means that y(x) was multiplied by -1, and x was replaced by 2x

  • -y(x) reflects y(x) across x-axis
  • y(a*x) compresses horizontally y(x) by a factor of 1/a. Here, a is 2, then the factor is 1/2.
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PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10
klemol [59]

The complete table will be:

Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175

<u><em>Explanation</em></u>

Suppose, the number of sit-ups in Sunday is x

Mean is the simple average of some numbers. <u>For finding the mean number</u> of sit-ups per day, we need to <u>divide the 'total number of sit-ups' by the 'total number of days'</u>.

Here the total number of days is 7 and the total number of sit-ups for 7 days = 100+65+120+150+90+0+x= 525+x

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175

So, the number of sit-ups you have to do Sunday is 175.

6 0
3 years ago
Whats is the answer -2/3 (-1 1/6)
grin007 [14]

Answer:

\frac79

Step-by-step explanation:

\frac{-2}{3} \cdot-1\frac{1}{6}

Let's convert the mixed number to an important fraction.

-1 1/6 = -7/6

Now multiply:

\frac{-2}{3} \cdot \frac{-7}{6} = \\\\\\\frac{-2\cdot-7}{3\cdot6} = \\\\\\\frac{14}{18} = \frac79

-Chetan K

7 0
2 years ago
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
baherus [9]

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

5 0
2 years ago
Read 2 more answers
Celine ate brunch at a restaurant. The bill came to $72.80. If she left a 15% tip, what was the total cost of her brunch?
DedPeter [7]

Answer:

<em>$83.69</em>

Step-by-step explanation:

Given the following

Initial Cost of the brunch = $72.80

Percentage tip = 15%

Tip paid = 15% of $72.60

Tip paid = 0.15 * 72.60

Tip paid = $10.89

Total cost of brunch =  $72.80 + $10.89

Total cost of brunch = $83.69

<em>Hence the total cost of her brunch is $83.69</em>

7 0
2 years ago
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
enyata [817]
You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
- 9 - 8 = - 17
- 17 = - 17 => it is candidate

b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
-12 + 6 = - 2
-6 ≠ -2 => it is not candidate

d) 4x + 3y = - 6

   -6 = - 6 => it is candidate

3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
6 0
3 years ago
Read 2 more answers
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