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Lera25 [3.4K]
2 years ago
14

Solve quadratic inequality x^2+4x≥0

Mathematics
1 answer:
klemol [59]2 years ago
7 0

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

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Suppose y varies directly as x, and y =15 when x = 3. Find the constant of variation (k).
vovangra [49]

Answer:

k = 5

Step-by-step explanation:

y = kx

15 = k(3)

k = 15/3

k = 5

8 0
3 years ago
Are two ratios are equivalent to two thirds
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2:3 and 4:6 are two different ratios that are equivalent to 2/3.

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Read 2 more answers
Which of the following shows one way to simplify 43Σn=1(3+9n)?
kramer

Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

<h3>How to determine the summation expression?</h3>

The expression is given as:

43Σn=1(3+9n)

As a general rule, if a summation notation is represented using the following expression

Σ(a + bn)

The equivalent expression of the above summation notation is

Σa + bn

Where the variable a is a constant in the expression

This means that:

Σ(a + bn) = Σa + bn

Using the above equation as a guide, we have the following equivalent equation

43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n

Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

Read more about summation notation at:

brainly.com/question/16599038

#SPJ1

6 0
1 year ago
Help me please!!!!!!!!!!
BlackZzzverrR [31]

Answer:

Option (4)

Step-by-step explanation:

In the picture attached,

m∠NLM = m∠LKN = 90°

In two similar triangles ΔLKN and ΔMKL,

By the property of similar triangles,

"Ratio of the corresponding sides of the similar triangles are proportional".

\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}

By substituting the values given,

\frac{h}{3}=\frac{2}{h}

\frac{2}{h}=\frac{h}{3}

Therefore, Option (4) will be the answer.

8 0
3 years ago
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