20 and 7 Because 4x5 = 20
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First, apply this following rule:
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×
×
Second, apply this following rule:
×
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
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Sixth, divide the denominator by the GCF.
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Seventh, collect the new numerator and new denominator.
Answer as fraction:
Answer as decimal: 0.5
Answer:
A=75
B=60
C=45
Step-by-step explanation:
5+4+3=12
every triangle is equal to 180 so we divide
180/12=15
then we multiply each angle by 15
5*15
4*15
and 3*15
don't forget to check your work by adding the answers together to get 180
Answer:
30 inches
Step-by-step explanation:
We know that the formula for calculate the volume of a cube is:
∨=8³
Where "s" is the length of each side.
Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":
125 in³=8³
∛125 in³=8
8=5 in
We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.
Then:
height= (5 in)(6)=30 in
9514 1404 393
Answer:
a) x = -1, x = 4
b) y = x^2 -3x -4
Step-by-step explanation:
a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.
The solutions are x=-1 and x=4.
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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.
y = a(x +1)(x -4)
For x=0, this is ...
y = a(1)(-4) = -4a
The y-intercept is y = -4, so we have a=1.
The factored equation is ...
y = (x +1)(x -4)
Multiplying this out gives the equation in standard form:
y = x^2 -3x -4
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<em>Additional comment</em>
Your teacher may want the standard form equation to be ...
x^2 -3x -4 = 0
This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.
