Pleas I really need help with this

Mathematics

1 answer:

Anna71 [15]2 years ago

8 0

Answer:

4r ^2 +9r + 12

Step-by-step explanation:

Hope this helps! :)

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Each week samantha can pay as much as $15 for her school lunch. Write an inequality showing how much samantha spends on lunch.

Annette [7]

Answer:

$x\leq \$15$

Step-by-step explanation:

Let

x------> amount of money that Samantha spends weekly on her school lunch

we know that

The inequality that represent this situation is

$x\leq \$15$

All positive real number less than or equal to 15

5 0

3 years ago

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

N76 [4]

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

$x-7>1\\\\x-7+7>1+7\\\\x>8$

and we have

$x-7$

to graph it it goes from (-∞,6)∪(8,∞)

8 0

3 years ago

An airplane with an air speed of 165 mph is headed 210°. If the plane encounters a 15 mph wind from the west, find the ground sp

mestny [16]

Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.

The airplane's ground speed is 158 mph, and its heading is 205.3°.

_____
A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.

The ground speed and course of the plane are 158 mph @ 205.3°.