Answer:
£325
Step-by-step explanation:
She paid £276.25 which is 85%
Divide 276.25 by 85 which is 3.25
3.25 is 1%
Multiply 3.25 by 100 to get the full Price
3.25 x 100 = £325
The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
Answer:
12
Step-by-step explanation:
If she eats 3/4 of the bag, that means she has 1-3/4 = 4/4 -3/4 = 1/4 of the bag left
The bag has 48 nuts. Take the number of nuts times the 1/4 she has left
48 * 1/4 = 12
She has 12 nuts left
Answer:
7.2
Step-by-step explanation:
first divide -2 by 5= -2/5
multiply 18 by -2/5=-36/5
divide 36 by 5=7.2
