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3 years ago

Let x= t+2 and y= t² Write an equation for y in terms of only X

Mathematics

1 answer:

AURORKA [14]3 years ago

6 0

Answer:

$y = {x}^{2} - 4x + 4[ /tex] Step-by-step explanation:[tex] x = t + 2 \\ \implies \: x - 2 = t....(1) \\ y = {t}^{2} ....(2) \\ plug \: t = x - 2 \: in \: equation \: (2) \\ y = {(x - 2)}^{2} \\ \red{ \bold{ y = {x}^{2} - 4x + 4}}$

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Help.....................

eduard

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

$\sqrt{100}$ + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

$\sqrt{100}$ + [24 - 15] - (60 - 49 - 1)

$\sqrt{100}$ + 9 - 10

10 + 9 - 10

<u>Answer = 9</u>

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

7 0

3 years ago

Please show steps in solving: B/3 + B/4 + B/6 =

alexandr1967 [171]

Answer:

= 3b/4

Step-by-step explanation:

= b . 4/12 + b . 3/12 + b . 2/12

Apply the fraction rule: a/c + b/c = a + b/c

= b . 4 + b . 3 + b . 2/12

= 4b + 3b + 2b/12

Add similar elements: 4b + 3b + 2b = 9b

= 9b/12

Cancel 9b/12: 3b/4

= 3b/4

5 0

3 years ago

A fisher usually catches 540kg of anchovies off El Niño,the fisher caught 85% less fish. How many kilograms of fish did the fish

Nookie1986 [14]

The fisherman caught 365kg During El Niño. You subtract 540kg by 85.

7 0

3 years ago

25 points plz help what would it mean if the interquartile range was very small and if it was very large

zzz [600]

Answer:

I'll explain below

Step-by-step explanation:

Itmf it were to be large and small at the same time, it should be 0.

It can't be large and small at the same time.

If u want to study more about this, ask me through the comments.

I hope this helps u.

7 0

3 years ago

Hello, can someone help me with these ones pls? I need it ASAP Find the slope of the line in each figure. If the slope of the li

sp2606 [1]

Answer:

slope: -3

equation: y = -3x

Step-by-step explanation:

the slope is "the amount of change in the y direction when you take one step to the right".

In the first graph you can see that (0,0) and (1,-3) are on the graph. So when you step from x=0 to x=1, the graph moves 3 units down. Hence the slope is -3. The minus sign means down.

Sometimes it is difficult to see the change in the y direction when only taking 1 step to the right. That's no problem, if you take e.g., 4 steps to the right, you have to divide the y change that you found by 4.

Written in a formula it is dy/dx, a.k.a: the y change divided by the x change.

So that takes care of the slope.

In a general formula for a line y = ax + b, the slope is the letter a.

b is used to move the graph up and down. The first graph moves through (0,0) so no b needed, hence the equation y = -3x.

If b would be, say, 5, the graph would be lifted up by 5. In fact, the point (0,b) will be the point where the graph crosses the y-axis. So you find b by finding the intersection with the y axis. x must be 0 at this point.

With this approach you can solve all assignments easily.

6 0

3 years ago

Let x= t+2 and y= t² Write an equation for y in terms of only X​

Let x= t+2 and y= t² Write an equation for y in terms of only X