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skelet666 [1.2K]
3 years ago
7

F(x)=-3x+21,find x when f(x)=6

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

F(x)=-3x+21,

f(x)=6 = -3x+21

6 = -3x+21

Subtract 21 from each side

6-21 = -3x+21-21

-15 = -3x

Divide each side by -3

-15/-3 = -3x/-3

5 = x

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sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )
pochemuha
Let x be the unknown number

2x +7 = 39

2x+7-7 = 39-7

2x = 32

2x/2 = 32/2

x=16

You use the balance method to solve. First, you cancel the +7 by subtracting the 7 ON BOTH SIDES to balance the equation.. After that, you are left with 2x, where you will need to isolate the x by dividing by 2 ON BOTH SIDES to balance it.

Hope this helps
3 0
3 years ago
What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2
Natalija [7]

Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

,

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

\text{Area}=\frac{\theta}{360\degree}\times\pi r^2

Substituting the given values, we have:

\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}

The area of the sector is 40π cm².

3 0
1 year ago
the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

         = -3420t + 92000

Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

5 0
3 years ago
Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − 3y = −12, and segment WZ is on the x − 3y = −6. Which
Nostrana [21]

Answer:

Equation shown

Step-by-step explanation:

Eq(1): x-3y=-12

X=-12+3y

=-4+y

Eq(2): x-3y=-6

X=-6+3y

=-2+y

4 0
3 years ago
Read 2 more answers
D+0.5=0.75<br><br> what is the answer put numbers
11111nata11111 [884]

Answer:

d = 0.25

Step-by-step explanation:

d + 0.5 = 0.75

    -0.5     -0.5

d = 0.25

Hope this helps!!!

4 0
3 years ago
Read 2 more answers
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