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vodomira [7]
2 years ago
15

PLEASE HELP

Mathematics
1 answer:
Anastasy [175]2 years ago
4 0

Answer:

the answer is 67 coins are not Nickels

Step-by-step explanation:

29+24+16=67 so there is 27 Nickels in the jar

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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
54:20
Karo-lina-s [1.5K]

Answer:

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Step-by-step explanation:

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Rewrite as a power of 10: 1/10
Yuliya22 [10]

Answer:

Step-by-step explanation:

You have to know how negative exponents "work" to understand this concept.

\frac{1}{10}=10^{-1 because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.

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Answer:

  • B. 11.42

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • c = \sqrt{a^2+b^2-2ab*cosC}

<u>Substitute the values:</u>

  • c = \sqrt{9^2+12^2-2*9*12*cos64}=11.42
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Find the value of x. (40 POINTS)
Ivanshal [37]

Answer:

i would help but i dont know!

Step-by-step explanation:

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