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2 years ago

The square below represents one whole.

Mathematics

1 answer:

ruslelena [56]2 years ago

5 0

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

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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

8 0

3 years ago

You have 400 cards stored 3/5 of them are from family. 1/4 of them are from friends. The rest you made. How many cards did you m

omeli [17]

You made 3/20 of the 400 cards, which is 60 cards.

5 0

2 years ago

Mr.Gadgets car broke down on the turnpike.Acme towing charged $30 plus $3 per mile to tow the car.If Mr.Gadget paid $174, how fa

aalyn [17]

The car was towed for 48 miles.

Step-by-step explanation:

Given,

Amount charges by Acme towing = $30

Per mile charges = $3

Total charged = $174

Let, x be the number of miles.

Towing charges + Per mile charges*number of miles = Total charged

30+3x=174

Subtracting 30 from both sides

$30-30+3x=174-30\\3x=144$

Dividing both sides by 3

$\frac{3x}{3}=\frac{144}{3}\\x=48$

The car was towed for 48 miles.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Find the vertex of the parabola. y= -4x^2+24x-35<br><br> Answer ASAP

exis [7]

Answer:

(3,1)

Step-by-step explanation:

y=-4x^2+24x-35

x-intercept of the vertex formula:

v=-b/2a

a=-4

b=24,

c=-35

v = - 24/2(-4)

v = -24/-8

v = 3

substitute x as v

y= -4(3)^2 + 24(3) - 35

y= -4(9) + 72 - 35

y = -36 +72 - 35

y = 36 - 35

y = 1

therefore the vertex is

(3,1)

7 0

2 years ago

Read 2 more answers

Add or subtract.<br> 7z^2 − 2z^4 − 2z^2 − 5z^4

Maksim231197 [3]

Answer:

5z^2-7z^4

Step-by-step explanation:

3 0

2 years ago