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sweet [91]
3 years ago
14

Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
y=8\\\\
x=25-8=17\\\\
There\ are\ 17 \ nickels\ and\ 8\ dimes.

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Juli2301 [7.4K]

X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3

Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49

Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184

So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
4 0
2 years ago
What is the equation for a geometric sequence with a first term of 2 and second term of -8?
Naya [18.7K]
A(1) = 2
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3 years ago
Determine whether the underlined value is a parameter or a statistic. A study of 6076 adults in public rest rooms found that 23%
PtichkaEL [24]

Answer:

C

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8 0
3 years ago
If f(x) = 2x^4, then f'(3) =
valkas [14]

To find f'(3) (f prime of 3), you must find f' first.  f' is the derivative of the function f(x).

Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.

The power rule for derivatives is \frac{d}{dx} [x^{n} ] =nx^{n-1}.  In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.

f'(x) = \frac{d}{dx}(2x⁴)

f'(x) = 2(4)x³

f'(x) = 8x³

Now, to find f'(3), plug 3 into your derivative.

f'(3) = 8(3)³

f'(3) = 216

<h3>Answer:</h3>

f'(3) = 216

6 0
2 years ago
Help I need an answer ASAP will give brainliest
MrMuchimi
The answer is a=6, b=4, and 0=3 you can always try to find the answer in google though

Hope that helped
6 0
2 years ago
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