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professor190 [17]
3 years ago
15

Use the discriminant to determine the number of real solutions to the quadratic equation.

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

0

Step-by-step explanation:

Use discramnt formula

b {}^{2}  - 4ac

Where 6 is a, 11 is b and 9 is c

11 {}^{2} - 4(6)(9)

121 - 216 =  - 95

Since the discramnt is negative, there are no real solutions and it will only produce imaginary solutions

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Simplify the expression 5^3 x 5^-5
kotykmax [81]

Answer:

\frac{1}{5^2} --- 1 over 5 squared

Step-by-step explanation:

When multiplying terms with a common base, you just add the exponents:

x^a\times x^b=x^{a+ b}

That's true even when you don't have any exponents.

5\times5=5^1\times5^1=5^{1+1}=5^2=25

\rightarrow5^3\times5^{-5}\\\rightarrow5^{3-5}\\\rightarrow5^{-2}

A negative exponent isn't fully simplified, so there's another rule to use:

x^{-y}=\frac{1}{x^y}

That is '1 over x to the y' if it's too small to read.

\rightarrow5^{-2}=\frac{1}{5^2}

4 0
2 years ago
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Which line has a slope of 1/2 and a y-intercept of 2?
AnnZ [28]

Answer:

it would be the bottom left graph

Step-by-step explanation:

Rise over Run

7 0
4 years ago
The figure is made up of a square and a rectangle. Find the area of the shaded region.
inn [45]

Answer:

10 \:  { \: m}^{2}

Step-by-step explanation:

area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m

=  \frac{1}{2}  \times 4 \times 2 +\frac{1}{2}  \times 2\times 6 \\  \\  = 4+6  \\  \\  = 10 \:  { \: m}^{2}

8 0
3 years ago
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The current population of a threatened animal species is 1.2 million, but it is declining with a half-life of 20 years. How many
Allisa [31]
Rate:\frac{1,200,000}{20}
Unit\ Rate:\frac{60,000}{2} = 30,000

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6 0
3 years ago
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andrey2020 [161]

Answer:

E) 1 and 2

Step-by-step explanation:

We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.

Thus:

n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)

For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)

For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6

For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)

Therefore, only 1 and 2 are factors of n^(st)

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3 years ago
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