ANSWER
Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
To proof
let us assume that the fluid should be drained and replaced with pure antifreeze be x .
As given
A radiator contains 10 quarts of fluid, 30% of which is antifreeze.
Now write 30% in the decimal form
Now write 60% in the decimal form
After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )
The quantity of antifreeze is
The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
than the equation becomes
solyving
100x +300 - 30x = 600
70x = 300
x = 4.28 quarts (approx)
Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
Therefore the option (c.) is correct .
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
<h3>What is Transformations?</h3>
Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
Learn more about function here:
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Answer:
? = -36
Step-by-step explanation:
When you raise an exponent to an exponent, the resulting power is a product of the two exponents.
For this problem, you can solve for the missing value by writing:
Divide both sides by 1/3 to isolate the missing value.
Solve for ?.
14.35/5= $2.85 per pane of glass
2.85*2= $5.70
For this case we must find the solution of the following inequalities:
From the first inequality we have:
Subtracting 2 from both sides of the inequality:
Equal signs are added and the same sign is placed.
Dividing between 4 on both sides of the inequality:
Thus, the solution is given by all values of "v" greater than -1.
From the second inequality we have:
Adding 5 to both sides of the inequality we have:
Dividing by 3 to both sides of the inequality we have:
Thus, the solution is given by all values of "v" less than 4.
Then, the solution set is given by the union of both intervals.
The union consists of all the elements that are contained in each interval.
(-∞,∞)
Answer:
The solution set is: (-∞,∞)
