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astraxan [27]
3 years ago
13

Find the roots of the following polynomial equations: 1. y = 2x2 + 3x - 5​

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

Step-by-step explanation:

y=2x^2+3x+5\\

Using the quadratic formula:

\frac{-3+-\sqrt{9-4(2)(5)}}{2(2)} = \frac{-3+-\sqrt{-31}}{4}

Since the discriminant is negative, -31, there are no real roots

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Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch as a guide to producing grap
Arisa [49]

The local minima of f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2} are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

<h3>How to determine the local minima?</h3>

The function is given as:

f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)

Read more about graphs at:

brainly.com/question/20394217

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7 0
2 years ago
Alexia designed a logo 2 inches wide and 1.5 inches tall to be used on her school's notebooks. The school wants the logo on the
Xelga [282]

If the original logo is 2 inches wide and the logo has to be 8 inches wide, then the new logo will be 4 times larger. Therefore, we have to multiply 1.5 by 4 to get our new height.

1.5 x 4 = 6 inches tall.

Hope this helped!

5 0
2 years ago
True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.
Elenna [48]

Answer:

True

Step-by-step explanation:

Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.

5 0
3 years ago
Fill in the blanks.<br> (3b^3)^2 = _b^_
Radda [10]

We can seperate (3b³) into two different parts, the constant and the variable.

The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:

3² = 9

(b³)² = b^{6}

So, (3b^{3})^{2} = 9b^{6}

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3 years ago
In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of
Anna11 [10]
A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
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3 years ago
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