4. The equation is an exponential function where all y coordinates are above 4 (range is y>4), so for y=4 (answer D) there are no solutions. y=4 is the asymptote.
5. In a formula ax^2 + bx + c the discriminant is b^2-4ac. In this example the discriminant is 9-4*3*6 = -63. The fact that this value is negative reveals that this equation has no (real) solutions, only imaginary.
6. y=2x^2-x-5. Trial and error.
In order to vertically stretch a function by a factor k, we have to multiply the function expression by k.
So, in order to stretch the function by a factor of 1/5, we simply have to multiply:
So, if we shrink the function -5x by a factor of 1/5, we get the function -x.
Answer:
Step-by-step explanation:
Animal Person
y = 5.4x + 34 y = 12x + 8.5; where y - weight, x - years
looking for when weight (y) is the same, so we need
animal weight (y) = person weight (y)
5.4x + 34 = 12x + 8.5
<u> -5.4x -5.4x</u>
34 = 6.6x + 8.5
<u> -8.5 -8.5</u>
25.5 = 6.6x divide both sides by 6.6
x = 3.86 years
not sure if you need your answer in decimal or what, but you can adjust accordingly.
Add 8 to both sides of the equation. Then you would be left with 22=-6r to which you would divide both sides by -6 to get R
