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)
Yes because the right triangle has a right angle which will equal to 90° you can place 89.99 to the nearest whole number which will give you a right angle.
The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
<h3>Properties of the function</h3>
The following are the properties of the sin trigonometric ratio of the function;
- The sine graph rises till +1 and then falls back till -1 from where it rises again.
- The function y = sin x is an odd function
- The domain of y = sin x is the set of all real numbers
- The range of sine function is the closed interval [-1, 1]
- The amplitude of the function is half its range value
- One cycle of the function is 6. 28
From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.
Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
Learn more about the sine function here:
brainly.com/question/9565966
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Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
Percent means per 100
multiply .015 x 100 (move decimal point 2 places to the right(
answer is 1,5%
hope this helps
