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ki77a [65]
2 years ago
12

Which are the solutions of x² = 19x + 12​

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

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Find the compound interest on 30,000 for 2years at 7 percent per annum​
hjlf

Answer:

34347

Step-by-step explanation:

Use the formula s=p(1+r/k)^kt

p=30000

r=7% (interest)

k=1 (because of per annum)

t= 2 (years)

Hence: 30000(1+0.07/1)^1(2) = 34347

7 0
2 years ago
Ms Sherman is preparing 5 and 5/8 cups of rice for his family reunion. She plans to use 1/4 of a cup for each serving. How many
Temka [501]

5 5/8  as an improper fraction

(8*5 +5) /8 = 45/8

45/8 divided by 1/4 =

copy dot flip

45/8 * 4/1 = 45/2

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4 0
3 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which
Maurinko [17]

Answer:

The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

              Domain of f(x) = { x ∈ R | x ≠ 7}

As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

              Domain of g(x) = { x ∈ R | x ≠ -3}

It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Keywords:  domain, composite function

Learn more domain and composite functions from brainly.com/question/2073574

#LearnwithBrainly

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3 years ago
What are the 6 trigonometry functions
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Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)

3 0
3 years ago
Simplify 4(4a+5b-3)
stiks02 [169]
You times 4 by everything inside the parentheses, so the answer would be as follows. 16a + 20b - 12
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3 years ago
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