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Inessa [10]
3 years ago
7

Please help! Write the intervals of the values shown on the graph below

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
The answer is
-1 ≤ x < 3
We just learned this is in my algebra 2 AP class
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Solve the inequality <br><br> |3x+4|&gt;6
professor190 [17]

Answer:

\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)

Step-by-step explanation:

To solve an <u>inequality</u> containing an <u>absolute value</u>:

  1. Isolate the absolute value on one side of the equation.
  2. Apply the relevant absolute rule.
  3. Solve both cases.

Given inequality:

|3x+4| > 6

Apply the absolute rule:

\textsf{If }\:|u| > a,\:a > 0\:\textsf{ then }\:u < -a \:\textsf{ or }\: u > a

Therefore:

\begin{aligned}\text{\underline{Case 1}} && \text{\underline{Case 2}}\\3x+4 & < -6 \quad & 3x+4 & > 6\\3x & < -10 \quad & 3x & > 2\\x & < -\dfrac{10}{3} \quad & x & > \dfrac{2}{3}\end{aligned}

So the solution to the inequality in <u>interval notation</u> is:

\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)

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2 years ago
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DiKsa [7]
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4 years ago
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In what form is an equation that relates two proportional quantities x and y?
Rus_ich [418]

Answer:

Step-by-step explanation: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

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please help me with this question "What word describes a direction of moving down or to the left?" will give brainily if the ans
allochka39001 [22]

Answer:

Downwards or Leftwards

Step-by-step explanation:

There isn't much elaboration from the question. However, here's how I interpreted it.

In case of moving down it is "downwards".

In case of moving left it is "leftwards".

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3 years ago
Given the function f(x)=x^2+2x+1, find:<br><br> f(0.3)
gtnhenbr [62]

Answer:

1.69

Step-by-step explanation:

(0.3)²+2(0.3)+1

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