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3 years ago

Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3

Mathematics

1 answer:

fgiga [73]3 years ago

4 0

Answer:

Step-by-step explanation:

3 years ago, the difference in ages was twice Daniel's age. So, Daniel was 20/2 = 10 years old at that time. Ben was 30.

Now, Ben is 33.

_____

If two numbers have a ratio of 3:1, their difference is (3-1) = 2 times the smaller number.

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F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

In this case; b = 12 and a = 6

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

4 0

3 years ago

Please help I’ll mark you as brainliest if correct

Nina [5.8K]

Answer:

2/7

Step-by-step explanation:

Find the seperate chances, those being 1/5 and 1/2 and add.

5 0

3 years ago

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iVinArrow [24]

Positive linear association !

6 0

3 years ago

AngleB = Round your answer to the nearest hundredth. А 5 ? B С 4.

Zarrin [17]

Answer:

$B=36.87$

Step-by-step explanation:

As we are given the adjacent (a) side and the hypotenuse (h), we can use the cosine function to find the measure of angle B.

Recall that $cos(B)=\frac{a}{h}$

This means that in order to find B, we need to take the inverse of cosine

This gives us

$B=cos^{-1} (\frac{4}{5} )$

From a calculator, we find that the answer of this is

$B=36.869$

When this is rounded to the nearest hundredth, we get

$B=36.87$

3 0

3 years ago

Solve ax-5=b for a. So which one is right A,B,C or D

Darya [45]

It would be c

ax-5=b What you have to do is get a to be by itself

So you would add 5 to both sides:
ax-5(+5)=b(+5) = ax=b+5

And then divide x by both sides. You divide because a is multiplied by x on the left side, so to move it to the other side you’d have to do the opposite and divide:
ax /x=b+5 /x

Answer is C ... a=(b+5) /x

7 0

3 years ago

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