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ryzh [129]
3 years ago
6

Fill in the blanks:

Mathematics
1 answer:
muminat3 years ago
7 0
6x + y = 1 , y, y, -6x + 1 or 1 - 6x
You might be interested in
Jack can text 180 words in 2 minutes and 45 seconds. What is his unit rate in texts per second?
grigory [225]

Answer: 1.091 which is approximately 1 word per second

Step-by-step explanation:

Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds

60 seconds = 1 minute

x seconds = 2 minutes

x = 2×60 = 120 seconds

2 minutes 45seconds = 120+45 = 165 seconds

This means Jack can text 180 words in 165 seconds

Let's find his unit rate in texts per second

if jack texts 180 words in 165 seconds

Then jack texts y words in 1 second

165y = 180

y = 180/165= 1.091 words per second

This is approximately 1 word per second

7 0
2 years ago
Such that |x-a|<\varepsilon and $x-b|<\varepsilon. can $a$ be countable? can $a$ be uncountable?
Brrunno [24]
It will be uncountable

3 0
3 years ago
A radio station your cars DJs to play two commercials for every 10 songs they play what is the unit rate of songs to commercial
Ira Lisetskai [31]
5 songs per commercial
or
5 songs/commercial
3 0
3 years ago
What three consecutive integers equal -87?
olchik [2.2K]

Answer:

What three consecutive integers have a sum of 87? Which means that the first number is 28, the second number is 28 + 1 and the third number is 28 + 2. Therefore, three consecutive integers that add up to 87 are 28, 29, and 30. We know our answer is correct because 28 + 29 + 30 equals 87 as displayed above.

Step-by-step explanation:

Consecutive integers are as simple as 1, 2, 3!  

Integers are consecutive if one follows another.  How do we "jump" from one integer to the next?  We add 1, right?  7, 8 and 9 are three consecutive integers.  Add one to 7 to get 8 and add one more to get 9.

Now lets think about this in algebraic terms.  Lets name these consecutive integers , x, y and z.  

The problem tells us that their sum is -87.  (Recall, "sum" is just a fancy word for the answer when we add.)

x+y+z = -87  

Here is the trick!  We need to rewrite this equation so that we have only one variable.  Easy!

y is one more that x, so y= x+1

And z is one more than y, so z= y+1.  But y is also equal to (x+1)!  So z=y+1=(x+1)+1=x+2

Now we have a problem that we can solve!  x+(x+1)+(x+2)=-87.  

Combining term.:  3x+3=-87  

Subtract 3 from both sides of the equation:  3x=84

Divide each side of the equation by 3:  x=28

We have solved for x, but we are not done!  We need to find y and z.  I know you can do this.  Remember y is one more than x and z is one more than y.

Check your work!  Make sure these three consecutive numbers do in fact add up to -87.

4 0
3 years ago
At what point of the curve y = cosh(x does the tangent have slope 2?
Dahasolnce [82]
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
5 0
2 years ago
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