Answer:
Step-by-step explanation:
an equation is : Use the point-slope formula.
y - y_1 = m(x - x_1) ; m : the slope when : x_1 = -3 and y_1 = 7
- 2 ×m = - 1 because this line is perpendicular to the line y= -2x-5 when the slope is -2
so : m= 1/2
an equation is : y - 7 =(1/2)(x+3)
Percent means parts out of 100
105%=105/100=1.05
'of' means multiply
105% of 260=1.05 times 260=273
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
<u> 0 -1 -1 -1 </u>
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible.
In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction.
0.4% can be written as 0.004 in decimal.
Step-by-step explanation:
Let the total amount she wants to save be 'a'
Starting amount = 0.4% of the total amount
= 0.4% of a
= (0.4/100) a
0.4% = 0.4/100
= 0.004
0.4% can be written as 0.004 in decimal.