I need help please HeLp

Mathematics

1 answer:

Savatey [412]3 years ago

6 0

Answer:

The triangle is 1, since 10 - 1 is 9.

Hope that helps!

Step-by-step explanation:

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Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)

denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ $\frac{2[g(x)]}{2}$ = $\frac{10x}{2}$ + $\frac{4}{2}$

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0

3 years ago

Solve the system of linear equations by substitution. x=2y+7 3x−2y=3

Murljashka [212]

The system of equation
First equation
x = 2y + 7
Second equation
3x - 2y = 3

Substitute x with (2y + 7) in the second equation
3x - 2y = 3
3(2y + 7) - 2y = 3

use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3

add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5

Substitute y with its value, which is -4.5, in the first equation
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2

The solution is
(x,y) = (-2, -4.5)

6 0

4 years ago

The quotient of 365.085 and 79.8

Paul [167]

Answer:

4.575

Step-by-step explanation:

365.085/79.8=4.575

5 0

3 years ago

Which statement is false?

Zolol [24]