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Alecsey [184]
3 years ago
7

Which linear function represents the table? A) y = 7x − 7 B) y = 7x + 7 C) y = −7x + 7 D) y = −7x − 7

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

Y = -7x+7

Step-by-step explanation:

(This takes a while)

A) Y = 7x - 7

B) Y = 7x + 7

C) Y = -7x + 7

D) Y = - 7x - 7

The asnwer is: C.

Because by distribution the numbers of [x], you will find that you will get [y]. And when you must do this with each of them in order to find out which is the right function.

(6,-35) -> Subsitute 6 into [x]:

Y = 7(6) - 7

Y = 42 - 7

Y = 35

This is wrong, because [y] is supposed to equal -35 and not 35. So A. is out.

B. is also positive, so that means you can't get a negative from it either, so that's out.

C. and D. are both negative, so its between these two.

Y = -7x + 7

Y = -7(6) +7

Y = -42 +7

Y = -35 <- Okay, so that's correct, now let's check D.

Y = -7(6) - 7

Y = -42 - 7

Y = -49 <- This answer is wrong, so your correct answer is C!

The best thing to do is distribute into each, it's quite a process, but it'll help  you find out the answer!

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Step-by-step explanation:

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Write out   5t^2                    3t                            5t^2
                 -------- .  Invert --------- and multiply ---------- by the result:
                  8x^2                 (x^2)                         8x^2

                5t^2
multiply ---------- by the result:      5t^2       5*x^2     25 t^2 x^2
                8x^2                            ------- * ---------  = ----------------
                                                    8x^2         3t         8x^2 (3t)

Reducing this, we get       25t
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3 0
3 years ago
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

S = -2.7t^2+40t+6.5

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0

It is a quadratic equation. Its solution is given by :

t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0
3 years ago
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