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3 years ago

What is the transformation that occurs to the equation y = 2x if it changes to y = 2x-3?

1 answer:

7 0

Given equation is y=2x which change to y=2x-3 . Now we need to check following which transformations, the equation y=2x changes to y=2x-3 .

Because of -3 with the given function y=2x, the graph shifts to 3 units down. So the transformation is 3 units downwards. If -3 is inside the function that is y=2(x-3), in that case the equation shifts to 3 units right. But since here we have -3 with the function not inside the function, so the equation shifts to 3 units downwards and that's the required transformation .

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The speed of a stream is 2 mph. A boat travels 4 miles upstream in the same time it takes to travel 8 miles downstream. What is

Amanda [17]

4 = (r-2) t

8 = (r+2) t

4 = (r-2) * [8/(r+2)]

4 = (8r-16)/ (r+2) . . .multiply by 2

4r + 8 = 8r - 16

4r = 24

r = 6

hope this helps

7 0

3 years ago

If you take of a number and add 4, you get 16. The equation represents this situation. If x represents the original number, what

babunello [35]

Answer:

x = 12

Step-by-step explanation:

equation:

x + 4 = 16

to solve for x, subttract 4 on each side:

x + 4 - 4 = 16 - 4

x = 12

6 0

3 years ago

Lisa and Joey are each saving money for their prom. Lisa’s total amount of money is represented by the function f(x)=20-13x. The

crimeas [40]

Answer:

2 weeks

Step-by-step explanation:

Given in the question that,

Equation that represent Lisa's total amount of money

f(x) = 20 - 13x

Equation that represent Joey's total amount of money

g(x) = x² - 10

To find weeks, x, after which they will have same amount of money, we will equate both equation

x² - 10 - 20 + 13x = 0

x² - 30 + 13x = 0

x² + 13x - 30 = 0

(x - 2)(x + 15) = 0

x = 2 or x = -15

Weeks, x, can not be negative so we will reject x = -15

Hence, after 2nd week Lisa and Joey will have the same amount of money save.

4 0

3 years ago

Inverse this matrix

SIZIF [17.4K]

In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.

Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.

$\begin{vmatrix}x&0&0\\0&1&0\\w&0&x\end{vmatrix}=x\begin{vmatrix}1&0\\0&x\end{vmatrix}=x^2$

The matrix is then singular whenever $x\neq0$ .

With this in mind, compute the inverse.

$\mathbf A=\begin{bmatrix}x&0&0\\0&1&0\\w&0&x\end{bmatrix}\implies\mathbf A^{-1}=\dfrac1{x^2}\begin{bmatrix}a&0&-w\\0&-x^2&0\\0&0&x\end{bmatrix}=\begin{bmatrix}\frac a{x^2}&0&-\frac w{x^2}\\0&-1&0\\0&0&\frac1x\end{bmatrix}$

6 0

3 years ago

If three times a number, added to 4 is divided by the number plus 8, the result is five halves. Find the number.

Andru [333]

The answer is x=17, well I think think but then again I'm not so sure

5 0

3 years ago