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nika2105 [10]
3 years ago
7

PLEASE HELP ME!!!!

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

D. -12x + 18

Step-by-step explanation:

f(x) = -6x +5; g(x) = 2x + 8

[g o f](x) = g(f(x))

this means that in g(x), everywhere there's an x, f(x) replaces it. [g o f](x) is represented at the following: (f(x) is in bold)

g(f(x)) = 2(-6x +5) + 8                  distribute the 2 to (-6x + 5)

g(f(x)) = -12x + 10 + 8                   combine like terms

g(f(x)) = -12x + 18

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If there is a class of 30 students and 6 of them are off, what fraction of students are there and what percentage of students ar
elena-s [515]
As fraction it would be 6/30 reduced 1/5 and as percentage 20% so 20% of the students were off.<span />
3 0
3 years ago
kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter
SVEN [57.7K]
To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket. 

25.5 - 5.2 = 20.3 Litres  

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units. 

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel. 

20300 <span>÷ 800 = 25.375 

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26. 

Hope this helps :) </span>
6 0
3 years ago
The point (16, 12) lies on the terminal side of an angle. find cos, tan, and sin
frez [133]
The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
<span>sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}} </span>
8 0
3 years ago
100 Points List all congruent angles and write a proportion that relates the corresponding sides
Reil [10]

Answer:

Angle GHF ~ KHJ

Angle GFH ~ KJH

Angle FGH ~ JKH

Where side:

FH ~ JH

FG ~ JK

GH ~ KH

Step-by-step explanation:

6 0
2 years ago
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Descr
UkoKoshka [18]

Complete question:

Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.

Answer:

$159.60

Step-by-step explanation:

Given the following :

Sales tax = 5%

Percentage discount = 20%

Original cost = $190

Joel's incorrect expression : 0.95(190)(0.8)

Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.

B.) 20% discount = 0.2 will be deducted from 100%(1)

1 - 0.2 = 0.8

5% sales tax = 0.05 will be added :

1 + 0.05 = 1.05

Original cost = $190

Therefore,

Total cost : Original cost * sales tax * discount

Total cost = $190 * 1.05 * 0.8

Total cost = $159.60

6 0
3 years ago
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