Yes because she has collected 902 you have to add the two numbers
Sub y in the second equation by y in the first equation:
We get 4x+3(-3x+3)=-1
4x-9x+9=-1
-5x=-10
x=2
Sub in the first equation
y=-3(2)+3
y=-3
X=8
The reason is because the red figure is just a dilation of the yellow figure.
6-2=4
4+4=8
So the answer is 8
Step-by-step explanation:
the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).
the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.
so, the point (1, 0) covers (x-1).
we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.
the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.
due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.
so, -2 - 3 = -5
and A is the correct answer option.
Answer:
Step-by-step explanation:
(a) Approximate the population standard deviation (?) with the sample standard deviation (s)
Approximate the standard normal distribution with the Student's t distribution
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(b) The degree of freedom =n-1=60-1=59
Given a=0.1, t(0.05, df=59) =1.67 (from student t table)
So the lower bound is
xbar -t*s/vn =41 -1.67*3/sqrt(60) =40.35
So the upper bound is
xbar +t*s/vn =41 +1.67*3/sqrt(60) =41.65
