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ivann1987 [24]
2 years ago
15

Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.

Mathematics
2 answers:
CaHeK987 [17]2 years ago
6 0

Answer:

x = -1/3

Step-by-step explanation:

x = [-6 +- squareRoot(36-4x9)] / 2 times (-6)

= -6/18 = -1/3

x-(-1/3) = 0 ---> x = -1/3

aivan3 [116]2 years ago
5 0

Answer:

x=\frac{-6\pm \sqrt{6^{2}-4(9)(1)}}{2*9}

Step-by-step explanation:

For this function [f(x)=9x²+6x+1], we'll solve it by the traditional way, via General Formula

9x^{2}+6x+1=0 \Rightarrow x=\frac{-6\pm \sqrt{6^{2}-4(9)(1)}}{2*9}\Rightarrow x=-\frac{1}{3}\Rightarrow S=\left \{ -\frac{1}{3} \right \}

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Solve for k.<br> 5(k+4)&lt;–5
Amiraneli [1.4K]

Answer:

k < -5

Step-by-step explanation:

5(k+4)<–5

Divide each side by 5

5/5(k+4)<–5/5

k+4 < -1

Subtract 4 from each side

k+4-4 < -1-4

k < -5

5 0
3 years ago
A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
geniusboy [140]

Answer:

7.7 km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 6.6 km and 3.9 km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, a^{2}+b^{2} =c^{2}, where a and b are the lengths of the triangle's legs and c is the length of the triangle's hypotenuse. In this case, we know what a and b are, and we need to solve for c, so after substituting the given values of a and b into a^{2}+b^{2} =c^{2} to solve for c, we get:

a^{2}+b^{2} =c^{2}

6.6^{2} +3.9^{2} =c^{2} (Substitute a=6.6 and b=3.9 into the equation)

43.56+15.21=c^{2} (Evaluate the squares on the LHS)

58.77=c^{2} (Simplify the LHS)

c^{2}=58.77 (Symmetric Property of Equality)

\sqrt{c^{2} } =\sqrt{58.77} (Take the square root of both sides of the equation)

c=7.7,c=-7.7 (Simplify)

c=-7.7 is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately 7.7 km away from its base. Hope this helps!

7 0
3 years ago
Please help me with this
larisa [96]

Please Show a picture or either a text so that I can help you

7 0
3 years ago
Read 2 more answers
There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. Write a function that represen
Anuta_ua [19.1K]

Answer:

10,93,500.

Step-by-step explanation:

On first February total number of rabbits were 500.

Now it is given that after each month rabbit population will become triple of initial.

So, after one month rabbits will become 3×500.

After two months they will become 3^{2}×500.

Thus , after m months total number of rabbits will become 3^{m}×500.

Now,

On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,

Total number of rabbits = 3^{7}×500 = 10,93,500.

8 0
3 years ago
Write your question here (Keep it simple and clear to get the best answer)what number is 20times table
kykrilka [37]
20×1=20
20×2=40
20×3=60
20×4=80
20×5=100
20×6=120
20×7=140
20×8=160
20×9=180
20×10=200
(Only include this if the table is up to 12)
20×11=220
20×12=240
6 0
3 years ago
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