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3 years ago

Simplify the expression -2(3z-4y)-z

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Multiply -2 by 3z and -4y
-6z + 8y -z
subtract z from -6z
-7z + 8y should be your answer

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

5 0

2 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

2 years ago

Mile markers along the highway tell drivers how many miles they have traveled from one location to another. Suppose Daniel sees

agasfer [191]

The answer to you question is 74.

3 0

2 years ago

I need help fast!!!!!!!!!!!

Vedmedyk [2.9K]

Answer:

Track 2

Step-by-step explanation:

180 degrees would turn the train completely around so if it entered on track 2 then it left on track 2

7 0

2 years ago

6x + 3y = 33 4x + y = 15 A. x = 2, y = 7 B. x = -13, y = 7 C. x = - 2 3 , y = 12 2 3 D. x = 5, y = 1

klio [65]

6x+3y=33..........(1)

4x+y=15

y=15-4x.........(2)

substitute value of y from (2) in (1)

6x+3(15-4x)=33

distribute 3 over the bracket

6x+45-12x =33

-6x=33-45

-6x=-12

x=2

plugging this value of x in equation 2 we get

15-4x=y

15-4(2)=y

y=15-8

y=7

Answer is x=2 and y=7

3 0

3 years ago