There are 187 nickels and 66 dimes in the jar.
Step-by-step explanation:
Given,
Total coins = 253
Value of coins = $15.95 = 15.95*100 = 1595 cents
Value of each nickel = 5 cents
Value of each dime = 10 cents
According to given statement;
x+y=253 Eqn 1
5x+10y=1595 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 5
Putting y=66 in Eqn 1
There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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The graphs of the given equations are parallel.
<h3>What is the slope-intercept form of a line?</h3>
The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equations are y = x +10 and y = x+5.
The equations are in the slope-intercept form of y = mx +b.
Therefore, the slopes of both lines are 1.
Two lines are parallel if they have the same slope.
Therefore, the graphs of the given equations are parallel.
To learn more about the slope-intercept form of a line, click here:
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Answer is 8
Work Shown:
f(x) = sqrt(5*x + 4)
f(12) = sqrt(5*12 + 4) ... replace every x with 12
f(12) = sqrt(60 + 4)
f(12) = sqrt( 64 )
f(12) = 8
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7
