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3 years ago

Solve for the unknown: 2z - (z-1) = 5z - 15

Mathematics

2 answers:

faltersainse [42]3 years ago

8 0

Z equals 4. See attached

Hunter-Best [27]3 years ago

7 0

Answer:

z=4

Step-by-step explanation:

You would distribute the negative sign outside of the parentheses and get:

2z-z+1=5z-15

Then combine like terms and get:

z+1=5z-15

Subtract 5z from both sides:

-4z+1=-15

Subtract 1 from both sides:

-4z=-16

Then divide both sides by -4:

z=4

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A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head st

Nataliya [291]

The distance covered by the hare and the tortoise in t seconds are 8t and 5t respectively. (Simple Speed-Distance-Time relation)

The tortoise gets a 510m headstart so at t=0 is 1490m.

The functions representing the distance of both of them from the finish line is,

F(x)=2000-8t,. for hare

G(x)=1490-5t,. for tortoise

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4 years ago

A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h

miv72 [106K]

The maximum value can be determined by taking the derivative of the function.

(dh/dt) [h(t)] = h'(x) = -9.8t + 6

Set h'(x) = 0 to find the critical point

-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8

Plug the time back into the function to find the height.

h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4

And I don't understand your second question.

5 0

4 years ago

What is the value of X

skelet666 [1.2K]

X is 3 your are welcome

8 0

3 years ago

Read 2 more answers

I need help on this it’s about trig identities

Cerrena [4.2K]

Answer:

The answer to your question is:

Step-by-step explanation:

1.-

$\frac{1 + sin\alpha }{cos\alpha } + \frac{cos\alpha }{1 + sin\alpha } = 2 sec\alpha$

$\frac{(1 + sin\alpha)^{2} + cos^{2} \alpha }{cos\alpha (1 + sin\alpha) }$

$\frac{1 + 2sin\alpha + sin^{2} \alpha+ cos^{2} \alpha }{cos\alpha + sin\alphacos\alpha }$

$\frac{2 + 2sin\alpha }{cos\alpha+ sin\alpha cos\alpha }$

$\frac{2(1 + sin\alpha) }{cos\alpha(1 + sin\alpha ) }$

$\frac{2}{cos\alpha }$

2sec $\alpha$

2.-

sec²x - tanxsecx

$\frac{1}{cos^{2}x } - \frac{sinx}{cosx} \frac{1}{cosx}$

$\frac{1}{cos^{2} x} - \frac{sinx}{cos^{2}x}$

$\frac{1 - sinx}{cos^{2}x }$

$\frac{1 - sinx}{1 - sin^{2}x }$

$\frac{1 - sinx}{(1 - sinx)(1 + sinx)}$

$\frac{1}{1 + sinx}$

3 0

3 years ago

What is 13x -4+100=180

Naddika [18.5K]

Answer: x = 6.46153846

Step-by-step explanation:

We are given the equation 13x - 4 +100 = 180, and we must find the value of x. In order to do that get x on on one side by itself and a constant on the other side by itself.

This first step is to combine like terms. 13x is by itself. -4 + 100 = 96. This gives us the equation 13x +96 = 180.

In order to get x by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.

Next, divide each side by 13 to find x. This gives us x = 6.46153846

$13x - 4 +100=180$

$13x + 96 = 180$

$13x = 84$

$x = 6.46153856$

Hope this helps! Have a nice day!

3 0

3 years ago