23 = x - 9
x= for tune
Now plug x= "for tune" into equation 23 = x - 9.
23 = "for tune" - 9
for tune = -9 - 23 = -32
X-coordinate of vertex (or axis of symmetry) of a quadratic function <span><span>f<span>(x)</span></span>=a<span>x2</span>+bx+c</span><span> is given as:</span>
<span>x=−<span>b<span>2a</span></span>=−<span>b<span>12</span></span>=−2<span>b-2b = 6 --> <span>b=<span>6<span>−2</span></span>=−<span>3
</span></span><span>b = -3</span>
</span></span>
X - speed of the current
40+x - speed with current
40-x - speed against current
t-time
(40+x)*t=100
(40-x)*t=60
40t+xt=100
<span> + 40t-xt = 60
</span> 80t =160
t = 2
40t+xt=100,
40*2+2x=100
80+2x=100
2x=100-80
2x=20
x=10 mi/h
10 mi/h speed of the current.
Answer:
A= 109 B= 16 C=86
Step-by-step explanation:
Write an equation for each statement:
:
"The sum of three integers is 211."
a + b + c = 211
:
"The sum of the first an second integers exceeds the third by 39."
a + b = c + 39
a + b - c = 39
:
"The third integer is 23 less than the first."
c = a - 23:
Subtract the 2nd equation from the 1st equation
a + b + c = 211
a + b - c = 39
---------------subtraction eliminates a and b, find c
2c = 172
c = 86:
Find a using the 3rd equation
86 = a - 23
86 + 23 = a
a = 109
:
Find b using the 1st equation
109 + b +86 = 211
b = 211 - 195
b = 16
