Answer:
7−2x
Step-by-step explanation:
1 Collect like terms.
(4+3)+(-7x+5x)
(4+3)+(−7x+5x)
2 Simplify.
7-2x
7−2x
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>
Answer:
x=2
y=1
Step-by-step explanation:
-6x+12=0
take 12 to the other side &it becomes negated then equate
-6x=-12
the negatives cancel out each other and therefore the answer is positive
x=2
4y+5=9
take 5 over to the other side &it becomes negated
4y=9-5
4y=4
y=1
Answer:
100 grams
Step-by-step explanation:
5 kg= 5000 g.
5000-4900=100
To simplify this expression, you have to remember that when
a number or a variable is raised to the negative exponent you have to
reciprocate the number. In this expression, c^-8 will be reciprocated so it
will become part of the numerator. Therefore, the final answer would be
12c^8/d^2.
