Please: Use "^" to denote exponentiation: <span>2x^2 + 8x - 12 = 0
Reduce this by div. every term by 2: </span><span>x^2 + 4x - 6 = 0
Here a=1, b=4 and c = -6. Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:
</span> x^2 + 4x +4 - 4 - 6 = 0. Rewrite the square as (x+2)^2, obtaining new equation
(x+2)^2 = 10. Take the sqrt of both sides: x+2 = plus or minus sqrt(10).
Finally, solve for x: x = -2 plus or minus sqrt(10).
7 times 4 =28 this is cuz there is seven days in a week and 7x4
Answer:
5x+68y
Step-by-step explanation:
2x+3x-4y+77y-4y-y
combine x's and y's
5x+68y
that is your answer
Answer:
<u>416 square centimeters</u>
Step-by-step explanation:
Formula for finding area of a trapezoid :
<u>A = 1/2 x (a + b) x h</u>
- a and b = parallel sides of the trapezoid
- h = height of the trapezoid
Solving :
- A = 1/2 x (38 + 14) x 16
- A = 8 x 52
- A = <u>416 square centimeters</u>
Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%