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nalin [4]
3 years ago
15

I need to know how to do it and get the answer

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0
Y-6=-4(x+1)
y-6=-4x-4
y=-4x-4+6
y=-4x+2
The answer is B.
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If f(x)=x-5, find x when f(x)=15
Leya [2.2K]

Answer:

x = 20

Step-by-step explanation:

we are given the value of f(x), replace it in the first equation

15 = x - 5

solve for x by adding 5 on both sides

15 + 5 = x

20 = x or x = 20

5 0
3 years ago
Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h
wolverine [178]

Answer:

 f = 0.84 or 84%

Step-by-step explanation:

Given:

- Original constant velocity of water v_o = 3.5 m/s

- The original diameter of the hose opening d_o = 1.5 cm

- The total vertical distance y(f) = 1.0 m

- The total range x(f) = 10.0 m

Find:

What fraction of the original area does Isabella has to reduce or pinch so the water can cover the entire range.

Solution:

- We will assume the flow of water as a stream of particles that follow a path of single point.

- Using second kinematic equation in the vertical direction and compute the time it takes the water to reach the ground:

                                  y(t) = y(0) + v_y*t + 0.5*gt^2

Where, y(0) = v_y = 0,

                                  1.0 = 0.5*g*t^2

                                  t = sqrt ( 2*1 / 9.81 )

                                  t = 0.4515 s

- Now we will use the second equation of motion for the x- direction motion:

                                 x(t) = x(0) + v_x*t

Where, x(0) = 0,

                                 10 = 0 + v_x*(0.4515)

                                 v_x = 10 / 0.4515 = 22.1 m/s

- We have calculated the minimum velocity required to reach the range from isabella and ferdinand.

- We will use the continuity equation to compute the area required for the velocity calculated v_x = 22.1 m/s:

                                A_f*v_x = A_o*v_o

                                A_f = A_o*v_o / v_x

                                A_f = pi*0.015^2*3.5 / 4*22.1

                                A_f = 1.12 * 10^-4 m^2

- The fraction f of the reduction of area is:

                                f = (A_o - A_f) / A_o

                                f = (7.068*10^-8 - 1.12*10^-4) / (7.068*10^-8)

                               f = 0.84 or 84%

4 0
3 years ago
What is (f *g)(x)?<br> f(x) = x^4 - 9<br> g(x)= x^3 +9<br><br> (f *g)(x) = ??
dybincka [34]

Use F.O.I.L

X^7+9x^4-9x^3-81

5 0
3 years ago
How to solve this equation 2(f+3)+4f=6+6f?
Tresset [83]
2f+6+4f=6+6f
6f+6-6=6-6+6f
6f=6f
This means f can equal any number which we call mathematically infinite solution or infinitely many solutions
5 0
3 years ago
Read 2 more answers
The total current of a parallel circuit is 9+j2 amps and the current of one component of the circuit is 3−j5 amps. What is the c
stealth61 [152]

Apply law of total resistance in parallel circuit

\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}

\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}

\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}

\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}

\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}

4 0
2 years ago
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