Multiply each throughout!
=x^2+6x+8x+48
then arrange accordingly
x^2+14x+48
remember that in quadratic equation that you should have a squared (a) variable and a coefficient(b) and just a raw value (c)
Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
Answer:
70 degrees
Step-by-step explanation:
Angle BZA = Angle BZC = 20 degrees
Reason : These two angles are Vertically opposite angles.
Angle BZA + Angle BZC = 90
20 + Angle BZC = 90
Angle BZC = 90 - 20
Angle BZC = 70 degrees
F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore,
increasing the average cost of gas from $1.50 to $2.20 will increases
the steepness of the line. (i.e. the line becomes closer to the vertical
line).
