I need help with this problem! Please show work so i can get credit for my work

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

Answer:

x= -43 or x=57

Step-by-step explanation:

Apply absolute value rule: If |u|=a, a>0 then u=a or u=-a

So applying that to our equation:

|x-7|=50, x-7 can either equal +50 or -50 so we solve for both

x-7= -50 ---> x= -43

x-7=50 ---> x=57

I hope this helps!

You might be interested in

Find the area of Region II for this figure. A) 4 square units B) 16 square units C) 12 square units D) 36 square units

eduard

The bottom half of II length and width is 2 and 8.
So 8×2=16 sq. units

You answer is B. 16 sq. units

6 0

3 years ago

Maria and Ming start at the same point and drive in opposite directions. Maria drives 32 mph and Ming drives 36 mph. How far apa

Sveta_85 [38]

I BELIEVE it would be B.

5 0

4 years ago

Find the given derivative by finding the first few derivatives and observing the pattern that occurs. d103 dx103 (sin(x))

aleksandrvk [35]

To find $\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)$ , we find the first few derivatives and observe the pattern that occurs.

$\frac{d}{dx} (\sin{(x)})=\cos{(x)} \\ \\ \frac{d^2}{dx^2} (\sin{(x)})= \frac{d}{dx} (\cos{(x)})=-\sin{(x)} \\ \\ \frac{d^3}{dx^3} (\sin{(x)})= -\frac{d}{dx} (\sin{(x)})=-\cos{(x)} \\ \\ \frac{d^4}{dx^4} (\sin{(x)})= -\frac{d}{dx} (\cos{(x)})=-(-\sin{(x)})=\sin{(x)} \\ \\ \frac{d^5}{dx^5} (\sin{(x)})= \frac{d}{dx} (\sin{(x)})=\cos{(x)}$

As can be seen above, it can be seen that the continuos derivative of sin (x) is a sequence which repeats after every four terms.

Thus,

$\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)= \frac{d^{4(25)+3}}{dx^{4(25)+3}} \left(\sin{(x)}\right) \\ \\ = \frac{d^3}{dx^3} \left(\sin{(x)}\right)=-\cos{(x)}$

Therefore,

$\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)=-\cos{(x)}$ .