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3 years ago

2n + 3 and 12n - 6 what's the answer and an equivalent

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer:

9/10

Step-by-step explanation:

2n+3=12n-6

3=12n-2n-6

3=10n-6

10n=3+6

10n=9

n=9/10

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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

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than

Kay [80]

Answer:

How long did Yumi spend picking up litter?

6 HOURS!!!!

Step-by-step explanation:

just took it on ed:)

5 0

3 years ago

Read 2 more answers

What is |5+3w|/-2 -1

madreJ [45]

Answer:

Step-by-step explanation:

Your maths problem

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5 0

2 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being 1/2 half of the way done his

katovenus [111]

What is the question? If it is how long is the total hike, then 17+2=19 (that’s half way).

19x2 =38. 38k is the total round trip of the hike.

4 0

4 years ago

Read 2 more answers

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in

Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

$0.045+0.32+0.4\\\\=0.765\ meters.$

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0

4 years ago