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lawyer [7]
3 years ago
9

Which one goes with which?:

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
Decimal= a number that uses place value and decimal point to show part of a whole

tenth= one part of ten equal parts

hundredth=one part of one hundred equal parts
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Find the inverse g(x)=x/5-6
STALIN [3.7K]
Interpreted: g(x) = \frac{x}{5} - 6
Let y = g(x)
y = \frac{x}{5} - 6
x = \frac{y}{5} - 6 (Interchange the x and y-values)

\frac{y}{5} = x + 6 (Solve for y)
y = 5(x + 6)

\therefore g^{-1}(x) = 5(x + 6)
4 0
3 years ago
Which is a correct first step in solving 5 - 2x < 8x - 3?
charle [14.2K]

Answer:

5 < 10x-3

Step-by-step explanation:

5 - 2x < 8x - 3

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x-3

3 0
3 years ago
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What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = \frac{-b}{2a}

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0
3 years ago
Wave erosion causes a certain coastline to recede at a rate of 3 centimeters each year. This occurs uninterruped for a period of
Travka [436]
The expression 8(-3) represents the recession of the coastline after 8 years if the coastline recedes 3 centimeters each year. 8(-3)=-24. So, the coastline's new position is 24 centimeters farther inland than it was 8 years ago.
answer= 24
4 0
3 years ago
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How many degrees in a full rotation?
ANTONII [103]
We call a full circle or a full rotation 360 degrees.  There's nothing magic
or mathematical about that number.  It was invented by people.  It could
have been any number they wanted. 

But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !
7 0
3 years ago
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