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3 years ago

17 + 3f = 14 what is f

Mathematics

2 answers:

photoshop1234 [79]3 years ago

4 0

So first, here, subtract 17 from both sides.

17 + 3f = 14

- 17 -17

3f = -3

Then divide both sides by 3

f = -1

stiv31 [10]3 years ago

3 0

F equals -1!!!!!!!!
Thanks (;

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kari74 [83]

Answer:

$y=1.383x-1.526$

Step-by-step explanation:

The given data table is

x : 4 7 10 12 13

y : 5 7 12 14 18

We need to find the equation of the best fit line.

The general form of a best fit line is

$y=mx+b$ .... (1)

where, m is slope and b is y-intercept.

$m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}$

$b=\overline{y}-b\overline{x}$

Using the graphing calculator we get

$m=1.38321\approx 1.383$

$b=-1.52555\approx -1.526$

Substitute m=1.383 and b=-1.526 in equation (1).

$y=1.383x-1.526$

Therefore, the equation of best fit line is $y=1.383x-1.526$ .

4 0

3 years ago

Read 2 more answers

Just need some help with the second answer thanks :)

vazorg [7]

Answer:

4,151,347,200

Step-by-step explanation:

To find how many ways the train can be made up we use the permutation formula and the values given.

n = 16

k = 9

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

$_{16}P_{9}=\dfrac{16!}{(16-9)!}$

$_{16}P_{9}=\dfrac{16!}{7!}$

$_{16}P_{9}=4,151,347,200$

So there will be 4,151,347,200 different ways that the train can be made.

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3 years ago

Consider the function f(x)=-3x^2 +7x -k. [3 Marks] a) For what values of k will the function have no zeros? b) For what values o

Anna35 [415]

Answer: a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

$f(x)=-3x^2+7x-k$

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It mean it has no real zeroes i.e. Discriminant < 0

As we know that

$D=b^2-4ac$

Here, a =-3

b = 7

c = -k

So, it becomes,

$D$

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

$D=b^2-4ac=0\\\\D=7^2-4\times -3\times -k=0\\\\49-12k=0\\\\49=12k\\\\k=\dfrac{49}{12}\\\\k=4.08$

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

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$D=7^2-4\times -3\times -k>0\\\\49-12k>0\\\\-12k>-49\\\\12k$

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b) k = 4.08

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3 years ago

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Marizza181 [45]

Answer:

A drawing that shows a real object with accurate sizes reduced

Step-by-step explanation:

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2 years ago

Read 2 more answers

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levacccp [35]

Answer:

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Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

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By Pythagoras theorem,

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$BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9$

Hence, the hikers are 5.9 miles apart.

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2 years ago