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3 years ago

Solve and write in interval notation. 4|x+4|+5>5

2 answers:

8 0

Hi,

Solving:

$4 |x + 4| + \not5 > \not5 \\ 4 |x + 4| > 0 \\ 4 |x + 4| = 0 \: \: \: \: \: | \div 4 \\ |x + 4| = 0 \\ x + 4 = 0 \\ x = - 4 \\ x \in \: r \: \: \: \: \: ( - 4)$

Answer: The inequality is true for any value of x, except when X = -4

Hope this helps.
r3t40

pantera1 [17]3 years ago

4 0

$4|x+4|+5>5\\\\4|x+4|>0\\\\|x+4|>0\\\\x+4>0 \vee x+4-4 \vee x$

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Write the contrapositive and the converse of the following conditional

Lunna [17]

The contrapositive statement are:

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The converse statement are:

If the late is frozen, then it is cold.
If Solomon is happy, then he is healthy.
If Tigist Tigist does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

Learn more about contrapositive statement from

brainly.com/question/1713053

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2 years ago

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Given the piecewise function shown below, select all of the statments that are true.

timurjin [86]

The given the piecewise function is :

$f(x) = \[ \begin{cases} 
 2x & x \ \textless \ 1 \\
 5 & x=1 \\
 x^2 & x\ \textgreater \ 1 
 \end{cases}
\]$

To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25

To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4

To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4

To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
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So, the statements which are true:
$\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}$

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4 years ago

Ma Find the co-ordinate the image of a point 6,4). Rotate it than 270 de acee

telo118 [61]

Answer:

(4, - 6 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(6, 4 ) → (4, - 6 )

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4 years ago

Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s

Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

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Substitute into Equation 4:

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2c = 20

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Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

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8 0

3 years ago

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What is the equation, in standard form, of a parabola that models the values in the table?

love history [14]

Answer:

$Y=4x^2+3x-6$

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=3x^2+4x-6$ for (-2,4)