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3 years ago

F(x)=x-3, what is the value of x if f(x) is equal to 3

Mathematics

1 answer:

harkovskaia [24]3 years ago

6 0

3=x-3 would be the starting equation. you need to add 3 to both sides to get x on its own making x=6

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A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago

-m + 10 = -8 – 6m + 3m

Crank

M = -9 ; solve for m by simplifying both sides of the equation, then isolating the varible

3 0

3 years ago

Number sentences for these 4?

Murrr4er [49]

A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40

6 0

4 years ago

¿Cuántas esferas hay en la figura 20?

scoundrel [369]

Answer:

418

Step-by-step explanation:

fig 2 = fig 1 + 5

fig 3 = fig 2 + 7 or fig 1 +5+7 16

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

4+5+7+9+11+13+15+17+18+19+21+23+25+27+29+31+33+35+37+39

8 0

3 years ago

7 and 12 Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (30 Po

goldfiish [28.3K]

Answer:

Angle Y = 35.69 degrees

Step-by-step explanation:

We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and 12 is the hypotenuse.

We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.

Sine (Angle Y) = Opposite Side / Hypotenuse

Sine (Angle Y) = 7/12

(Angle Y) = Sine inverse (7/12)

Angle Y = 35.69

8 0

2 years ago