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3 years ago

Can you help me lol and actually show your work and how you got your answer please and thank you!

Mathematics

2 answers:

MrMuchimi3 years ago

8 0

8 + (5)(4) - (6 + 10/2) + 44

8 + 20 - (6 + 5) + 44

8 + 20 - 6 - 5 + 44

28 - 11 + 44

17 + 44 = 61

amm18123 years ago

3 0

8+(5)(4)−(6+

)+44

=8+20−(6+

)+44

=28−(6+

)+44

=28−(6+5)+44

=28−11+44

=17+44

=61

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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

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

a) For what values of k will the function have no zeros?

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

So, it becomes,

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

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

3 0

3 years ago

What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?

Amiraneli [1.4K]

Answer:

$(-3, -2)$

Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at $(\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})$ . Where:

$(x_{1}, x_{2}) = (-6, 6)$

$(y_{1}, y_{2}) = (-3, 1)$

Then, the midpoint is at:

$(\frac{-6 +6 }{2}, \frac{-3+1}{2})$ = $(0, -1)$

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

$(x_{1}, x_{2}) = (-6, 0)$

$(y_{1}, y_{2}) = (-3, -1)$

⇒ $(\frac{-6 +0}{2}, \frac{-3-1}{2})$ = $(-3, -2)$

Therefore, the point is 1/4 of the way from A to B is: $(-3, -2)$

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4 years ago

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Read 2 more answers

What is the answer it's not factor

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It is a divisor
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