Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)
Answer: 7 grams is equal to 7×10^-3kg
Step-by-step explanation: One thousand grams is equal to one kilogram. To get the answer we have to divide 7 by 1000 to get the answer in kg.
Answer:
Slope = - 1/3
Step-by-step explanation:
Y2-Y1 / X2 - X1
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
<em><u>✓</u></em><em><u>D. right</u></em>
Right is the right answer.
Answer:
132
Step-by-step explanation:
