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2 years ago

What is the inverse of the function f(x) =2x +1?

Mathematics

1 answer:

TiliK225 [7]2 years ago

3 0

Answer:

2x+1

2x-1

2x+4

2x-4

Step-by-step explanation:

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need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.

iren2701 [21]

Answer:

The coordinates of G are: (-8, -10)

Step-by-step explanation:

Mid point formula:

$x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}$

Where,

$(x,y)$ are the coordinates of the mid point of the points $(x_1,y_1)$ and $(x_2,y_2)$ .

As per question statement, we are given that:

$x_2=-4\\y_2=4$

and

$x=-6\\y=-3$

To find:

$x_1 = ?\\y_1 = ?$

Solution:

Let us use the mid point formula:

$-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}$

$-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}$

The coordinates of G are: (-8, -10)

5 0

3 years ago

Luis went to the bank he deposited $20 into his savings account and withdrew $40 from his checking account. Write integers to de

aliina [53]

Answer:

Savings Account: x+20

Checking Account:x-40

7 0

3 years ago

Please please use explanation with answer

KIM [24]

Answer:

$\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}$

Step-by-step explanation:

$\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}$