Step-by-step explanation:
A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.
It means,
2/3 cup = 1/8 cup of water

Hence, the constant of proportionality is 0.1875.
The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
So, the first thing we need to know is what is what.
So, A natural number is a whole number
A whole number is an integer
and An integer is a rational number.
Now, since there is a terminating decimal (a decimal that does not go on forever) we know it is a rational number.
Since there is a decimal, it cannot be an integer, therefore
It is a rational number
Since she has painted 60% of her bedroom so far, 40% must remain. In order to know how many square feet that is, we take the total amount of square feet she needs to paint and multiply it by 0.4
45*0.4 = 18 square feet
Answer:
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.