Answer:
B
Step-by-step explanation:
Euler's formula for polyhedra states that
F + V - E = 2
where F is faces, V is vertices and E is edges
Substitute the values given and solve for F, that is
F + 13 - 26 = 2
F - 13 = 2 ( add 13 to both sides )
F = 15 → B
Answer:
x=1
Explain:
y=2x^2−4x+1
dy/dx=4x-4
The line of symmetry will be where the curve turns (due to the nature of the
x^2 graph.
This is also when the gradient of the curve is 0.
Therefore, let
dy/dx=0
This forms an equation such that:
4x−4=0
solve for x,
x=1
and line of symmetry falls on the line
x=1
Let's examine the given function first:
f(x) = x^2 + 1 is the same as f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept: f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)
Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1. So: Graph y=x^2. Then translate the whole graph UP by 1 unit. That's it. Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.
Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.
So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
Mrs.Drake can make 7 1/8-pound patties.
