Find the value of a. 4x + ax = - 2x(2x + 1)

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

a = -2(2x+1)-4

Step-by-step explanation:

1. Factor out the common term x.

x(4+a)= -2x(2x+1)

2. Cancel x on both sides.

4+a= -2(2x+1)

3. Subtract 4 from both sides.

a= -2(2x+1)-4

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A boat drops an anchor 75 feet to the bottom of a lake. A sunken treasure chest lies at the bottom of the lake, 40 feet away fro

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Given
Height (length) of the anchor dropped from the boat = 75 feet
Distance of the treasure from the anchor = 40 feet

Solution
The dropped at the bottom makes an angle of 90 degree . Therefore making an right triangle with the chest and boat

By Pythagoras theorem
AC^2 = AB^2 + BC^2

(AC = distance of the treasure from the boat
AB = height of the anchor dropped from the boat
BC = the distance of treasure from the anchor)

AC^2 = 75^2 + 40^2
AC^2 = 5325 +1600
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Therefore they have cover a distance of 25 * (under root 11)

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3 years ago

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Answer:

Neither of the two advertising options meet the goal.

Step-by-step explanation:

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Therefore, the goal of reaching 200000 fans will be fulfilled by $\frac{4000 \times 200000}{160} = 5000000$ dollars i.e. $5 million which is greater than the budget of $3 million.

Now, every $2,750 spent on radio ads will reach 125 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by $\frac{2750 \times 200000}{125} = 4500000$ dollars i.e. $4.5 million which is again greater than the budget of $3 million.