3 years ago

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

$\large\boxed{B.\ (f-g)(x)=-x-15}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15$

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Suppose that the functions s and t are defined for all real numbers x as follows.

Svetllana [295]

$s(x)=2x+4;\ D_s=\mathbb{R}\\\\t(x)=5x;\ D_t=\mathbb{R}\\\\D_s=D_t\\\\(s+t)(x)=s(x)+t(x)=2x+4+5x=7x+4\\\\(s-t)(x)=s(x)-t(x)=2x+4-5x=-3x+4\\\\(s\times t)(x)=(2x+4)\times5x=10x^2+20x$

8 0

3 years ago

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

vlada-n [284]

Data set 1: 14,15,17,18,21
mean: (14+15+17+18+21)/5 = 85/5 = 17
mad
17-14 = 3
17-15 = 2
17-17 = 0
17-18 = 1
17-21 = 4

(3+2+0+1+4)/5 = 10/5 = 2

17/2 = 8.5 is the means-to-mad ratio

Data set2: 15,16,17,20,22
mean = (15+16+17+20+22)/5 = 90/5 = 18
mad
18 - 15 = 3
18 - 16 = 2
18 - 17 = 1
18 - 20 = 2
18 - 22 = 4

(3+2+1+2+4)/5 = 12/5 = 2.4

18/2.4 = 7.5 means to mad ratio

5 0

3 years ago

Someone help me plz!!!<br> It’s algebra

Fittoniya [83]

Answer:

Step-by-step explanation:

$a(x)=x^3-3\\b(x)=2x+1\\c(x)=\frac{3}{x+2} \\d(x)=4-x\\a.\\a(4)=4^3-3=64-3=61\\b.\\\\c(x-5)=\frac{3}{x-5+2} =\frac{3}{x-3} \\c.\\d(-1)=4-(-1)=4+1=5\\b(d(-1))=b(5)=2(5)+1=11\\\\d.\\(coa)(2)=c(a(2))=c(2^3-3)=c(8-3)=c(5)=\frac{3}{5+2} =\frac{3}{7}$