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3 years ago

Hello i need help on all 3 of these if you could

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:oh okay

Step-by-step explanation:

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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

4 years ago

Is 40 a reasonable estimate of a quotient for 78,114 ÷ 192? Explain your reasoning

mr_godi [17]

yes but no because you would have to put a 6 at the end so it should look like this.406.84375

7 0

3 years ago

Read 2 more answers

9 Calculator What is the median of the data set? 3, 10, 1, 6, 10, 3, 11, 14

Svetradugi [14.3K]

Answer:

1, 3, 3, 6, 10, 10, 11, 14

(6,10) 6+10= 16

16/2= 8

median is = 8

Step-by-step explanation:

6 0

3 years ago

Factories: 64x3y3+8-2xy

Elena-2011 [213]

can you make the question clear so I can answer you the question.

3 0

3 years ago

On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point

expeople1 [14]

Answer: point F is at 0.6 on the number line

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Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0

3 years ago