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mestny [16]
3 years ago
12

What are the solutions to the equation y2 – 1 = 15?

Mathematics
2 answers:
aivan3 [116]3 years ago
8 0

Answer:

The solution of y² - 1 = 15  is +4 and -4

Step-by-step explanation:

Given

y² - 1 = 15

Our solution goes thus;

Make y² the subject of formula

y² = 15 + 1

Add 15 to 1

y² = 16

Take square roots of both sides

√y² = √16

y =  √16

Note that the square root of 16 is either +4 or -4 because +4 * +4 = 16 and -4 * -4 = 16; So, we replace √16 with ±4 which means + or -4

y = ±4

y = +4 and -4

Hence, the solution of y² - 1 = 15  is +4 and -4

Usimov [2.4K]3 years ago
4 0

-4 and 4. Those are the answers.

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13(10 + 2) could be used to simplify which of the following problems?
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2 years ago
Given the function: f(x) = 2x3 - 3/2x, find f(-4).
Sergeu [11.5K]

Answer:

D) -122

Step-by-step explanation:

Given:

f(x) = 2x^3-\frac{3}2x

We need to find f(-4).

Now by substituting the value of x =-4 in above equation we get;

f(-4)= 2\times(-4)^3-\frac{3}{2}\times(-4)\\

By using PEDMAS we will solve for exponential function first we get;

Now we know that (-4)^3=-64

So we get;

f(-4)= 2\times(-64)-\frac{3}{2}\times(-4)\\

Now using PEDMAS we will solve division.

f(-4)= 2\times(-64)-1.5\times(-4)

Now using PEDMAS we solve multiplication.

f(-4)= -128+6

Finally by subtraction we get;

f(-4)= -122

5 0
3 years ago
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Goshia [24]
-120 Thats the answer

3 0
3 years ago
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Kitty [74]

Answer: They are inverses of each other

==========================================================

Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\

and,

f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

5 0
3 years ago
Read 2 more answers
Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and
storchak [24]

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

7 0
2 years ago
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