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mezya [45]
3 years ago
8

F(x)=x^2+3; g(x)=x+4 find (fog)(-2)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0
(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7
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A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
Dima020 [189]

Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

3 0
3 years ago
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52.75 with a 25% discount. How much will he pay for it?
Allisa [31]

Answer:

He pays $39.56

Step-by-step explanation:

If finding the discount, always divide the percent by 100.

25% = 0.25

52.75*0.25=13.1875

Because its money, round to hundredths place, $13.19

Subtract the "percent" (13.19) from 52.75

52.75 - 13.19 = $39.56



7 0
3 years ago
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Find a polynomial that describes the area of the lawn which kevin has to mow in his front yard 6x+5,4x-9
Likurg_2 [28]

Answer:

Area=24x^2-34x-45

Step-by-step explanation:

Length and width of the yard are (6x+5) and (4x-9).

Area=length\times width\\\\Area=(6x+5)\times (4x-9)\\\\Area=24x^2+20x-54x-45\\\\Area=24x^2-34x-45

7 0
3 years ago
Cedric orders at least 30 bottles of styling gel per month for his hair care business. The supplier charges $3 per pint bottle p
Rama09 [41]
He buys 30 bottles which each costs 3 dollars. So 30 times 3 means he pays 90 dollars. Plus the 25 dollar handling fee which is 115. However the competing supplier is 4 dollars every bottle for the pint bottle. So if he bought 30 times 4 he would pay 120. That is without the handling money. So thats why he should stay with his

5 0
3 years ago
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The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0
3 years ago
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