Use BODMAS or BIDMAS (Brackets, over Indices, Division, Multiplication, Addition, the Subtraction, this tells you which order to do things in)

As you cant do √10 in the brackets you do the indices, so (√10)³
Split this up to make it easier
(√10)³= √10 x √10 x √10 = 10√10

You the multiply this by 9

9 x 10√10 = 90√10

then multiply by 5

5 x 90√10 = 450√10 = 1423.024947 (using calculator)

7 0

2 years ago

Write an exponential function in the form y = ab that goes through points (0,19)<br>and (5,4617).

gtnhenbr [62]

Answer:

y = 1/2 (2)x

Step-by-step explanation:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

3 0

2 years ago

Write an equation in standard form given: m= -3/4 and b=5.

Dmitry [639]

Answer:

3x+4y=20

Step-by-step explanation:

The slope-intercept equation would be:

y=mx+b

y=-3/4(x)+5

But standard form is

ax+by=c

We can obtain this by moving the -3/4(x) to the left side

$\frac{3x}{4} +y=5$

Multiply both sides by 4 to get rid of the fraction

3x+4y=20

5 0

1 year ago