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2 years ago

Solve the following quadratic equation for all values of x in simplest form. 3(4x + 1)2 – 37 = 5

Mathematics

1 answer:

motikmotik2 years ago

8 0

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

-1 ± √14

x = ----------------

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An ounce is equal to about 28 g. If 1 g of soil contains 2.5 billion bacteria, how many bacteria are in 1 oz of soil?

Nimfa-mama [501]

Answer:

About 700 billion bacteria

Step-by-step explanation:

Given

$1oz \approx 28g$

$1g = 25\ billion\ bacteria$

Required

Number of bacteria in 1 oz

$1g = 25\ billion\ bacteria$

Multiply both sides by 28

$28 * 1g = 25\ billion\ bacteria * 28$

$28g = 700\ billion\ bacteria$

Recall that

$1oz \approx 28g$

This means:

$1oz \approx 700\ billion\ bacteria$

5 0

3 years ago

Sighting the top of a building, a surveyor measured the angle of elevation to be 60 degrees. The measurement is taken 200 feet f

olya-2409 [2.1K]

This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building

x=200
200√3≈346.41

the answer is 346.41 feet

8 0

3 years ago

Read 2 more answers

The number (6) is what type<br>of number?

NNADVOKAT [17]

Answer:

even?

Step-by-step explanation:

I dont really get it

4 0

3 years ago

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