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Alchen [17]
3 years ago
11

It is known that x=7 is a root of the equation ax^2 + bx + 2= 0, where a<0. Solve the inequality ax²4 +bx^2 + 2>0.

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

2/(7a) < x < 7

Step-by-step explanation:

The product of roots of ax² +bx +c is c/a. In this case, that means the second root of the equation is ...

... 2/(7a)

Since a < 0, the parabola opens downward and 2/(7a) < 0. The quadratic function will be positive between the two roots, on the interval ...

... 2/(7a) < x < 7

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What is the circumference of the circle with a radius of 3.22 Round to the nearest tenth.
myrzilka [38]
To calculate the circumference multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation.

3.22x 2 = 6.44

6.44x π= 20.23185668911827

rounded to the nearest ten: 20.2
8 0
3 years ago
It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?
svp [43]
The answer is <span>0.10619469026. 

It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.

Hope this helps :-)

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3 0
3 years ago
Please help show that the following are TRUE.
mafiozo [28]

Answer:

  see below

Step-by-step explanation:

The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...

  sum = a1/(1 -r)

Applying this to the given series, we get ...

a. sum = 5/(1 -3/4) = 5/(1/4) = 20

b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)

_____

The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...

  S -rS = a1

  S = a1/(1 -r)

7 0
3 years ago
In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
guapka [62]

Answer:

∠ EBF = 98°

Step-by-step explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°

8 0
3 years ago
Which is the better deal?
aliina [53]

Answer:

36 oz

Step-by-step explanation:

Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.

12oz = $1.99

36oz/3 = 12oz   so $2.59/3   = $ .86

48oz/4= 12oz   so $3.99/4  = $1.00

60oz/5= 12oz   so $4.59/5 = $ .92

So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.

3 0
3 years ago
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