Answer:
Heyya !
Here's how to do it:-
First write down what's given:-
y -7.2 = 8
Next, we do like this:-
y = 8+ 7.2
We transferred 7.2 to the other side of the ' = ' sign.
When we do so, the sign of the number changes
Here 7.2 was negative first but when we transferred it to the other side, its sign changed to positive.
So,
y = 8 + 7.2
Now, just add it!
8 + 7.2 equals 15.2
<h2>So, the value of y is 15.2 </h2><h2 /><h3>I hope the explanation was clear.</h3><h3>If you still have doubts, let me know in the comments !</h3>
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Slope intercept form is: y = mx + b
Isolate the y. First subtract 10x from both sides
10x (-10x) + 2y = 8 (-10x)
2y = -10x + 8
Isolate the y. Divide 2 from both sides and <em>all</em> terms.
(2y)/2 = (-10x + 8)/2
y = -5x + 4
y = -5x + 4 is your slope intercept form answer.
hope this helps
The function g(x) is g(x)= (3x)^2
<h3>
How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
brainly.com/question/10222182
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