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3 years ago

Ax + 3b = 2f Solve for x.

1 answer:

6 0

The answer is x=(2/a)f - (3/a)b.

Explanation:
We want to isolate x, which means we must cancel everything else on that side of the equals sign. We start with the term farthest from x, which is 3b. Since it was added, we cancel it by subtracting. This gives us ax=2f-3b.

Next we have an a to cancel. Since it is beside x, it has been multiplied; this means we cancel it by dividing. Dividing both sides by a, we have x=(2f-3b)/a. We can rewrite this as each term of the answer being divided by a, or x=(2/a)f - (3/a)b.

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An arithmetic sequence has this recursive formula:

Marianna [84]

Answer:

Option D is the correct option.

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3 years ago

At a local event, the ratio of hamburgers to hot dogs sold is 5:3. The number of hamburgers sold is 275. How many more hamburger

sveticcg [70]

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2 years ago

What is 11÷165 as a decimal please answer

LuckyWell [14K]

Answer:

0.066666666

Step-by-step explanation:

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2 years ago

Read 2 more answers

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .