Solve by Substitution :
// Solve equation [1] for the variable <span> y </span>
<span> </span>
[1] <span>y = </span><span>x </span>+ 12
// Plug this in for variable <span> y </span> in equation [2]
<span> [2] <span>2•</span>(<span>x </span>+12)<span> + 4x</span> = 27
</span><span> [2] <span>6x</span> = 3
</span>
// Solve equation [2] for the variable <span> x </span>
<span> [2] <span>6x = </span>3</span>
<span> [2] <span>x = </span>1/2</span>
<span>// By now we know this much :</span>
<span> <span> y = </span><span>x</span>+12</span>
<span> <span> x = </span>1/2</span>
<span>// Use the <span> x </span> value to solve for <span> y </span>
</span>
<span> <span> y = </span><span>(1/2)</span>+12 = 25/2 </span>Solution :<span> {<span>y</span>,<span>x</span>} = {<span>25/2</span>,<span>1/2</span>}</span>
<span>y=x+12;4x+2y=27 </span>Solution :<span><span> {y,x} = {25/2,1/2}</span>
</span>System of Linear Equations entered : [1] y=x+12
[2] 4x+2y=27
Equations Simplified or Rearranged :<span><span> [1] y - x = 12
</span><span> [2] 2y + 4x = 27</span></span>
Least steep graph would be the one that is closest to zero
slope=rise/run, theh smaller the slope, the smaller the rise/run
y=mx+b
m=slope
A. y=3x-16, slope is 3
B. y=2x+7/15, slope is 2
C. y=1/2x+3, slope is 1/2
D. y=1x+24, sloe is 1
1/2 is closest to zero
C is least steep slope
Answer:
Boat speed 9.66 mph
Step-by-step explanation:
Boat speed x mph
current speed 4 mph
against current x- 4 mph
with current x+ 4 mph
Distance= 8 miles
Time against + time with =2 hours
t=d/r
8/(x+4) +8/(x-4)= 2
LCD =(x-4)(x+4)
8*(x-4) +8(x+4) =2(x^2-16)
8x-32+8x+32=2(x ^2-16)
16 x = 2 x ^2 -32
2 x ^2 - -16 x - 32 =0
divide by 2
x^2-8x-16=0
Find the roots of the equation by quadratic formula
a= 1 , b= -8 , c= -16
b^2-4ac= 64 + 64
b^2-4ac= 128
%09sqrt%28%09128%09%29=%0911.31%09
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( 8 + 11.31 )/ 2
x1= 9.66
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( 8 -11.31 ) / 2
x2= -1.66
Ignore negative value
Answer:
j K ;AKC ;k 'AL s;lka dOQLA/
Step-by-step explanation:
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