Answer:
It would cost her $45.
Step-by-step explanation:
25 dollars divided by 5 shirts = 5 dollars per shirt.
5 dollars x 9 shirts = $45 dollars in total.
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero
x+6=0
x=-6
x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6
use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1
the numbers are -4,-5,-6
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The scale factor is the ratio of image lengths to original lengths.
B'C' = 1 unit
BC = 3 units
The scale factor is B'C'/BC = 1/3.
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<em>Additional comment</em>
The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)