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kotykmax [81]
3 years ago
8

What is the domain of the relation R = {(-1,1), (2,3), (4,5), (5,6)}?

Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is the set of input values.

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Solve by elimination <br>2x+y=16 <br>3x-y=4
Radda [10]
Maybe try this <span>2x+y=16
3x-y=4
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Add the two equations to solve for "x":
5x = 20 
x = 4
--------

Substitute to solve for "y":
2*4 + y = 16
y = 8
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Solution: (4,8)</span>
6 0
4 years ago
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The producer of a certain medicine claims that its bottling equipment is very accurate and that the standard deviation of all it
Alekssandra [29.7K]

Answer:

x^2 =  22.99

Step-by-step explanation:

Given data:

standard deviation of all filled bottles = 0.1

overall hypothesis is significant at\sigma = 0.1

for test statistics, use chi-square test

x^2 = \frac{(n-1) s^2}{\sigma^2}

where

n - sample size

s =simple deviation

x^2 =\frac{(20-1)0.011^2}{0.1^2}

x^2 =  22.99

7 0
4 years ago
find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P
Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, (t,y(t))=(t,t^2-2t-5), where t>2. The slope of the secant line through P and Q is given by the difference quotient,

\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t

where we are allowed to simplify because t\neq2.

Then the equation of the secant line is

y-(-5)=t(x-2)\implies y=t(x-2)-5

Taking the limit as t\to2, we have

\displaystyle\lim_{t\to2}t(x-2)-5=2(x-2)-5=2x-9

so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

\dfrac{\mathrm dy}{\mathrm dx}=2x-2

and at x=2, we get a slope of 2(2)-2=2, as expected.

4 0
3 years ago
Convert 324 mm to cm
denpristay [2]
324mm = 324 ÷ 10 = 32.4cm
5 0
3 years ago
Read 2 more answers
8. If a=-10, b-4, show that a - b ≠ b - a<br>​
oksian1 [2.3K]
<h2>Answer:</h2>

<u>Given :</u> a = -10 and b = -4

<u>To prove :</u> a - b ≠ b - a

<u>Proof :</u> To put the values according to question,

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Hence verified

5 0
1 year ago
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