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3 years ago

When a factor x − k is raised to an odd power, the graph crosses the x-axis at x = k.

Mathematics

2 answers:

HACTEHA [7]3 years ago

5 0

Answer:

crosses at (1,0)

crosses at (-4,0)

touches at (-5,0)

Got correct on ed

Step-by-step explanation:

oksian1 [2.3K]3 years ago

4 0

Answer:

The graph of $g(x) = (x - 1) (x + 4)^3(x +5)^2$ crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).

Step-by-step explanation:

g(x):

$g(x) = (x - 1) (x - (-4))^3(x - (-5)^2$ .

There are three factors:

(x - 1), where k = 1,
(x - (-4)), where k = -4, and
(x - (-5)), where k = -5.

The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:

(1, 0) as a result of the factor (x - 1),
(-4, 0) as a result of the factor (x - (-4)).

The third factor is raised to an even power. The graph will touch the x-axis at that point.

(-5, 0) as a result of the factor (x - (-5)).

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Kayla went over the allotted cell phone minutes this month by 42 minutes. Her regular bill is $39.95, but this month is was $54.

Nimfa-mama [501]

$\frac{\text{ over time minutes }}{\text{ cost for overtime minute}} = \frac{42}{14.7}$

The ratio of overtime minutes to the cost of those minutes is 42 : 14.7

Solution:

Kayla went over the allotted cell phone minutes this month by 42 minutes

Therefore,

over time minutes = 42 minutes

Her regular bill is $39.95, but this month is was $54.65

Regular bill = $ 39.95

This month bill = $ 54.65

Therefore, cost for overtime minute is given by:

cost for overtime minute = This month bill - regular bill

cost for overtime minute = $ 54.65 - $ 39.95

cost for overtime minute = 14.7

Thus ratio of over time minutes to cost of those minutes is given by:

$\frac{\text{ over time minutes }}{\text{ cost for overtime minute}} = \frac{42}{14.7}$

Thus the required ratio is found

8 0

4 years ago

10. To get from point A to point B you must avoid walking through a pond. To

Salsk061 [2.6K]

Answer:

22 meters.

Step-by-step explanation:

There is a pond between two points A and B.

To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.

Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.

The two legs of the right triangle are AC and CB.

Applying Pythagoras Theorem, AB² = AC² + CB² = 34² + 41² = 2837

⇒ AB = 53 meters (Rounded to the nearest meter)

Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond. (Answer)

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4 years ago

You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tent

AVprozaik [17]

 FIRST OF ALL THERE IS NO FIGURE.

ELSE I AM GIVING YOU CLUE. 

LET SHEET IS RECTANGLE IN SHAPE. SO , WE ASSUME IT'S LENGTH AND BREADTH BE 'L' & 'B'.

NOW WE CAN FIND DIAGONAL BY USING PYTHAGORAS THEOREM. 

 $diagonal = \sqrt{ {l}^{2} + {b}^{2} } \: units$ 

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3 years ago

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valina [46]

0.18 / (0.18 + 0.12 + 0.54) =
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3 years ago

3.7+6=. A:-1. B:1. C:13 D:-13

stepan [7]

Answer:

13 is the answer

Step-by-step explanation:

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