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kvv77 [185]
3 years ago
14

Solve (x + 1 < 5) ∩ (x - 4 > -3).

Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

(1, 4)

Step-by-step explanation:

(x + 1 < 5) is solved by subtracting 1 from both sides of this inequality:

x < 4.

(x - 4 > -3) is solved by adding 4 to both sides:  x > 1.

The solution of (x + 1 < 5) ∩ (x - 4 > -3) is thus (1, 4).

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Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she w
julia-pushkina [17]

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Answer:

  $51.75

Step-by-step explanation:

The multiplier of the bill with the tip added is 1 +15% = 1.15.

  1.15×$45 = $51.75 . . . . Gabriela's total bill

8 0
3 years ago
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ludmilkaskok [199]

Answer:

a. f^-^1(x)=\frac{x}{4} +3

b. f(-9)=-48

c. f^-^1(-9)=\frac{3}{4}

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

f^-^1(x)=4x-12

y=4x-12

x=4y-12

x+12=4y

\frac{x}{4} +3=y

f^-^1(x)=\frac{x}{4} +3

In b, all you have to do is plug in -9 into f(x).

f(9)=4(9)-12

f(9)=-48

In c, you plug in -9 into inverse function f.

f^-^1(-9)=\frac{3}{4}

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