Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.
To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form
If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
<h3>What is a ratio?</h3>
A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
For this exercise, the ratio of black square to gray squares is given by:
B:G = 1:2
Tripling the pattern, we would multiply by three (3) as follows:
B:G = [1:2] × 3
B:G = 3:6
Dividing all through by 3, we have:
B:G = [3:6]/3
B:G = 3/3 : 6/3
B:G = 1:2.
Read more on ratio here: brainly.com/question/13513438
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Answer:
Step-by-step explanation:
(5-1)/(5-1)= 4/4= 1
y - 1 = x - 1
y = x
y - x = 0
the second equation is not
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Hope this helps i would give answer but i dont know what the answer is so sorry but hope this helps you.
Given rate is = 7% or 0.07
Total amount needed = $12000
Time = 4 years
Here, the deposit is compounded semiannually, means twice per year and this gives 8 annual compounding periods in 4 years.
The equation becomes:
P= 
P = 
Solving it, we get P = $ 9112.93
Hence $9112.93 should be deposited today.