Answer:
Daniiel is 33 years old.
The son is 7 years old.
Step-by-step explanation:
x+26=3x
The x represents the son.
To solve for x:
-26=x-3x
-26=-2x
x=13
Since the father will be 3 times his son's age in six years we subtract 6.
x=7
This means the son is 7 years old as of right now. To find the father's age you do 7+26=33
M >= 85. The >= sign means greater than or equal to.
Answer:
Step-by-step explanation:
x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)
so Volume=(x+3)(x+2)(x+4)
V=lwh
one of the factors is the length.
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
