Answer:
x=1, y= 7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation in for the first
-5x +2(7x) = 9
-5x + 14x = 9
Combine like terms
9x = 9
Divide by 9
9x/9 = 9/9
x =1
Now find y
y = 7(1)
y =7
<h3> Answer: All real numbers greater than -1. Step-by-step explanation: We have to find the range of: y= 2e^x-1. We know that e^x lies in (0,∞). Hence, 2e^x lies in (0,∞).</h3>
Answer:
x = 2
Step-by-step explanation:
H(x) = 64x - 16x²
<u>Find the value of x when the ball reaches its maximum height.</u>
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Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.
In H(x) = 64x - 16x², rearrange the powers from greatest to least:
Vertex: [-b/2a, f(-b/2a)]
Substitute a and b into the x-value of the vertex: -b/2a.
The vertex of the parabola is at x = 2, with a maximum height of H(2).
Answer:
-1/2x+y-8=0, y-0, 7/6x+y-6=0
Step-by-step explanation:
First we find the slope of side AB:
6-0/0-(-3) =2
Altitude CD is perpendicular to AB:
slope of CD=-1/slope of AB = -1/2
Since the altitude CD passes through the point C(4, 6), using the point-slope form of the equation of a line, the equation of CD is:
y-6= -1/2*(x-4)
-1/2x+y-8=0
This is the required equation of the altitude from C to AB. The rest of the equations are solved in the same way. Good luck!
Step-by-step explanation:
48=56+8b
48-56=8b
-8=8b
-8/8=b
b= -1
