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Mademuasel [1]
3 years ago
10

Solve for a: │a – 6│=10

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

\huge\boxed{a=-4\ \vee\ a=16}

Step-by-step explanation:

|a|=b\iff a=b\ \vee\ a=-b\\\\=======================\\\\|a-6|=10\iff a-6=10\ \vee\ a-6=-10\\\\\text{add 6 to both sides of the equations}\\\\a-6+6=10+6\ \vee\ a-6+6=-10+6\\\\a=16\ \vee\ a=-4

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An amusement park sold 27 child tickets. The other 23 tickets it sold were adult tickets. What is the ratio of the number of adu
amm1812

Answer:

23/50

Step-by-step explanation:

27 + 23 = 50 (Implying that 50 is the total amount of tickets).

23 of them were sold to adults, so basically 23/50.

Remember a ratio can be written in 3 forms, so it can be either of these:

23:50

23/50

23 to 50

5 0
2 years ago
5. If ∆MNO = ∆SQR, which of the following is true? (1 point)
Brrunno [24]
Where are the following options?
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3 years ago
Read 2 more answers
Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis.​
lana66690 [7]
(0,-8)

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4 0
2 years ago
Lf f(x) = 5x, what is f^-1(x)?
Nonamiya [84]

Answer: f^{-1}(x)=\frac{x}{5}

Step-by-step explanation:

By definition the domain of an inverse function f^-1(x) is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function f(x)=5x, then to find the inverse function, follow these steps:

1. Make y=f(x)

 f(x)=y=5x

 y=5x

2. Solve for the variable "x":

x=\frac{y}{5}

3. Exchange the variable "x" with the variable "y":

y=\frac{x}{5}

4. Exchange "y" withf^{-1}(x). Then the inverse function is:

f^{-1}(x)=\frac{x}{5}

7 0
3 years ago
Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bou
Elenna [48]

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

7 0
3 years ago
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