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arsen [322]
3 years ago
11

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

Mathematics
2 answers:
Stella [2.4K]3 years ago
7 0

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

     = 3(x² - 5x + 4) ← distribute

     = 3x² - 15x + 12

Sophie [7]3 years ago
5 0

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

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Please help
ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

x^2+4y^2=100\\4y-x^2=-20

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100

Now we can solve for y:

4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5

So plugging in y = 4 into an equation and solving for x, we have:

x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>

5 0
3 years ago
Round each number to the nearest ten.
Bezzdna [24]
552.17 rounds to 550
48.35 rounds to 50
550-50=500
5 0
3 years ago
Rationalization<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B%20%5Csqrt%7B3%7D%20%7D%20" id="TexFormula1" title=" \f
rosijanka [135]

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

7 0
2 years ago
Simplify (6^-4)^6 <br> Please help me
shutvik [7]

Answer:

6^ -24

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

(6^-4)^6  = 6^ (-4*6) = 6^ -24

7 0
3 years ago
Waring Bank offers a 5% interest rate on a $4500 loan for a 3-year term. South Bank offers a 5% interest rate on a $4500 loan fo
Mariana [72]
4500 times 5% per year for 3 years = (4500*.05)*3 = answer 1

4500 times 5% per year for 4 years = (4500*.05)*4 = answer 2

Answer 2 minus answer 1 = jackpot
5 0
3 years ago
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