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2 years ago

10

Let f(x) = 5x – 8 and g(x) = 9 - 6x2. - (f o g)(-3) =

1 answer:

MArishka [77]2 years ago

3 0

Step-by-step explanation:

f(x) = 5x - 8

g(x) = 9 - 6x²

= (fog)(-3)

= f( g(3) )

= 5x - 8

= 5(9 - 6x²) - 8

= 5(9 - 6(-3)² ) - 8

= 5(9 - 54) - 8

= 5(-45) - 8

= -225 - 8

= -233

(fog)(-3) = -233

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find the distance between city A and city B if there 15 cm apart on the map with a scale of 2 cm: 16 km

IRISSAK [1]

Answer:

120 km

Step-by-step explanation:

15/2=7.5

7.5 km x 16= 120km

Have a great day!

7 0

3 years ago

A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in

Colt1911 [192]

Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250 milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l

5 0

2 years ago

60 students study a language at a school.

mixas84 [53]

The number of girls is 24.
The number of boys that study French is 24.
The numbber of boys that study German is 12.
The number of girls that study French is 16
The number of girls that study German is 8.

<h3>How to fill the frequency tree?</h3>

The number of girls = total number of students - total number of boys

60 - 36 = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

Please find attached the frequency tree. To learn more about addition, please check: brainly.com/question/349488

#SPJ1

3 0

2 years ago

Find the value of questions

Zolol [24]

Answer:

The simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

Step-by-step explanation:

Given the expression

$\frac{3^9\times \:y}{2\times 81}$

solving the expression

$\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}$

$=\frac{3^9y}{3^4\times \:2}$ ∵ $162=3^4\times \:2$

$=\frac{3^5y}{2}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=\frac{243y}{2}$ ∵ $3^5=243$

Therefore, the simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

6 0

2 years ago

PLEASE HELP!!!! TIMED EXAM

alexandr402 [8]

Answer:

The correct option is V = one-third (6) (4) (8).

Step-by-step explanation:

The volume of a rectangular pyramid is:

$V=\frac{1}{3}\ l\times b\times h$

Here,

V = volume

l = length

b = base

h = height

The information provided is:

l = 6 inches

b = 4 inches

h = 8 inches.

Compute the equation of the volume of a rectangular pyramid as follows:

$V=\frac{1}{3}\ l\times b\times h$

$=\frac{1}{3}\times 6\times 4\times 8$

Thus, the correct option is V = one-third (6) (4) (8).

4 0

3 years ago

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