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2 years ago

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Mathematics

1 answer:

Sonbull [250]2 years ago

3 0

Answer:

1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

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Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

2 years ago

Choose all the expressions that are equal to 45,000 ÷ 90.

scZoUnD [109]

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Evgesh-ka [11]

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