Vertex<em> </em>is at 
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Step-by-step explanation:
The graph of the equation is hereby attached in the answer area.
Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(
), is shown with the dotted line in the graph attached.
<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when 
. Putting
And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of 
in the given equation 
. Here, co-efficient of
So, vertex<em> </em>is at
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
Answer:
<em>4 shelves</em>
Step-by-step explanation:
First you will have to subtract the one she keeps by her bed.
27 - 1 = 26 to be put on a shelf.
To find the least number of shelves needed, you will divided the total left by eight:
26 ÷ 8 = 3.25
She can fill 3 shelves completely and still have books left over. So she needs at least 4 shelves!
Love your profile pic btw! :)
