3 years ago

WORK OUT THE RELATIVE FREQUENCY AS A DECIMAL OF THROWING A 4

Mathematics

1 answer:

oee [108]3 years ago

6 0

Answer:

0.666666667 (rounded)

Step-by-step explanation:

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

$f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

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2 years ago

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Graph the function f(x)=3/2x−4. Use the line tool and select two points to graph.

iris [78.8K]

Answer:

Two points on the graph would be (2,-1) and (4,2).

Step-by-step explanation:

You can choose two random x variables such as how i selected 2 and 4. if you change the variable x to those values you can solve for y or in this case f(x).

EX:

3/2*2-4

6/2-4

3-4

f(x)= -1

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2 years ago

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An interest-free period during which a credit card owner can pay off a balance

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....................

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2 years ago

Can someone help me on this

mr_godi [17]

I don't know what the first two blanks are asking for, but the last one should be Alternate Exterior Angles Property of Congruence (AEAPC).

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3 years ago

5/8 and 6/14 as a decimal

Brilliant_brown [7]

Answer:

5/8= 0.625

6/14= 0.42

Step-by-step explanation:

5 divided by 8

6 divided by 14

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