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mote1985 [20]
3 years ago
8

Whats the decimal and fraction for 10%

Mathematics
1 answer:
shutvik [7]3 years ago
5 0
The decimal for 10% is 0.1 (: and the fraction for 10% is 1/10 (: Hope this helps!
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find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
The Bigtown football team outscored its opponents 5:2 last season. If their opponents scored 38 points, how many points did Bigt
mariarad [96]
The answer would be 114. I did 3 times 38 and thats what i got. I hope it helps:D This is from your friendly Tolkien fan.
6 0
3 years ago
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The area of a rectangle is 44 m²<br> The width is 3 2/3m<br> Work out the missing length?
Alika [10]

Answer:

12 meter

Step-by-step explanation:

We know that ,

Area of rectangle = length × breadth

so,44m square = l × 3 2/3 m

or, 44m2 = length × 11/3

or ,( 44m2)/3 2/3m = length

finally, length = 12 meters

3 0
3 years ago
What is equivalent to the equation to 1/4 (8 + 6z + 12) ?
Fed [463]
1/4 (8 + 6z + 12) 

------------------------------------------------------------
Combine like terms :
------------------------------------------------------------
1/4 (6z + 20)

------------------------------------------------------------
Apply distributive property :
------------------------------------------------------------
1/4(6z) + 1/4(20)
3/2z + 5

------------------------------------------------------------
Answer: 3/2z + 5
------------------------------------------------------------
7 0
3 years ago
PLS HELP ME WITH THE QUESTION IN THE PICTURE BELOW :D
Yuri [45]

Answer

the answer is D.

8 0
2 years ago
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