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MaRussiya [10]
3 years ago
8

Determine the type and number of solutions of x^2 + 10x − 25 = 0.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

There is exactly 1 solution and it is a double root.

Step-by-step explanation:

To find this, factor the equation and solve.

x^2 + 10x - 25 = 0

(x - 5)(x - 5) = 0

Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.

x - 5 = 0

x = 5

x - 5 = 0

x = 5

Because there are two of the exact same answer, we know it to be a double root.

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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).​
Vedmedyk [2.9K]

Answer:

C. 5x² - 4

General Formulas and Concepts:

<u>Algebra I</u>

  • Composite Functions
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

<u>Step 2: Find (f + g)(x)</u>

  1. Substitute:                    (f + g)(x) = 4x² + 1 + x² - 5
  2. Combine like terms:    (f + g)(x) = 5x² - 4
8 0
2 years ago
A2 = -8 and a5 = -512<br> Find a10
yawa3891 [41]

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. <u>a + d = </u><u>-8</u><u>)</u>

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

<u>-TheUnknownScientist</u>

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About 1414​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randoml
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both nervous = 0.14*0.14 = 0.0196 = 1.96%

one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%

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