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Leokris [45]
3 years ago
7

Consider the two functions:

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

Step-by-step explanation:

1, Find (g-f)(x)

we know (g-f)(x) = g(x) - f(x) = ( 5x -2) -( 2x^2 +3x +6)

= 5x -2 - 2x^2 - 3x - 6

= -2x^2 + 2x -8

So the function (g-f)(x) = - 2x^2 + 2x - 8

2, Find (fg)(x)

we know that (fg)(x) = f(x) * g(x)

= (2x^2 +3x +6 ) *( 5x -2)

= 5x* (2x^2 +3x +6 ) - 2*(2x^2 +3x +6 )

= 10x^3 + 15x^2 +30x -4x^2 -6x - 12

= 10x^3 + 11x^2 + 24x - 12

The answer is (fg)(x)= = 10x^3 + 11x^2 + 24x - 12

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what is the slope and equation of a line that is perpendicular to the y-axis passing through (-5,-3)?​
Illusion [34]

Answer:

Slope is m=0

y=-3

Step-by-step explanation:

The slope of any line that is perpendicular to the y-axis is zero.

The reason is that any line that is perpendicular to the y-axis is also parallel to the x-axis and the slope of the x-axis is zero.

The equation of any line perpendicular to the y-axis is and passes through (a,b) is y=b.

The given point is (-5,-3) hence the required equation is

y=-3

3 0
3 years ago
Luiza's savings account had
Rudik [331]

Answer: g is a geometric sequence.

Step-by-step explanation:

Each year since then, her account accumulated interest amounting to

15% of the balance in the previous year.

15% = 15/100 = 0.15

Since the balance is increasing each year, then the constant factor by which it is increasing is 1 + 0.15 = 1.15.

This factor of 1.15 is a common ratio. This means that the sequence is a geometric sequence since it is increasing by a common ratio.

6 0
3 years ago
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
Seven less than one-third of a number is 5
miskamm [114]
22 would be the answer. You reverse the equation so you multiply 3 and add 7   5x3 = 15  15+7= 22
3 0
3 years ago
Read 2 more answers
A box contains ten cards labeled J, K, L, M, N, O, P, Q, R, and S. One card will be randomly chosen. What is the probability of
vovikov84 [41]
There are 10 cards and you are looking to find the probability of choosing 1 of 6 cards. so essentially 6/10 or 3/5 which are both equivalent to 60% 
8 0
3 years ago
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