$146 + 8 \frac{1}{5} \\ \\ = 146 + \frac{8 \times 5 + 1}{5} \\ \\ = \frac{146 \times 5 + 40 + 1}{5} \\ \\ = \frac{730 + 41}{5} \\ \\ = \frac{771}{5} \\ \\ = 154 \frac{1}{5} \\ \\ thus \\ \\ \huge \orange{ \boxed{146 + 8 \frac{1}{5} = 154 \frac{1}{5}}}$

4 0

3 years ago

Write a linear function f with the values f(10)=5 and f(2)=-3

Nutka1998 [239]

Answer:

$f(x)=x-5$

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

$m=\frac{-3-5}{2-10}$

$m=\frac{-8}{-8}$

$m=1$

step 2

Find the equation of the line in slope intercept form

$f(x)=mx+b$

we have

$m=1$

$point\ (10,5)$

substitute and solve for b

$5=(1)(10)+b$

$5=10+b$

$b=-5$

The linear function is equal to

$f(x)=x-5$

3 0

2 years ago

0.00000000213 in scientific notation

Pachacha [2.7K]

Hello!
2.13 x 10^−9
You want to make sure the number(after you move the decimal places) should be in between 1-10.
2.13 is in between 1-10.
I hope this helps;)

4 0

2 years ago