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Mathematics

2 answers:

SSSSS [86.1K]3 years ago

7 0

Answer:

a) = Slope of line AB = 1/2

<h2><em><u>Perpendicular = -2</u></em></h2>

Step-by-step explanation:

a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.

b) Slope = -2x

intercept = ?

y = -2x + b

0 = -6 + b

+6 +6

b = 6

Norma-Jean [14]3 years ago

4 0

Perpendicular is my answer too

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storchak [24]

Answer:

b. comets

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos