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Maslowich
3 years ago
14

Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as show

n. Which number line represents the solution to the inequality? 17 + 4 x = 9. Subtract 17 from both sides. 4 x = negative 8. Divide both sides by 4. X = negative 2. CLEAR CHECK A number line going from negative 10 to positive 10. A closed circle is at negative 2. A number line going from negative 10 to positive 10. Closed circles are at negative 4, negative 3, negative 2, negative 1, 0. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the right of the circle. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the left of the circle.
Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

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How many solutions does the equation 6n − 6n − 12 = 14 − 2 have? two one none infinite
tekilochka [14]

Answer:

no solutions

Step-by-step explanation:

6n - 6n - 12 = 14 - 2 = 12 ( add 12 to both sides )

0 = 24 ← not possible

this indicates the equation has no solution

7 0
1 year ago
What's the value of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2048%7D%20" id="TexFormula1" title=" \sqrt{2048} " alt="
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Answer:

Root of 2048. [Root of two thousand forty-eight] . square root. 45.2548. cube root. 12.6992. fourth root. 6.7272. fifth root. 4.5948.

5 0
2 years ago
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A car was valued at $44,000 in the year 1993. The value depreciates to $15,000 by year 2002.
almond37 [142]

Answer:

The car will have lost it's total value by 2007.

Step-by-step explanation:

If initially the car was valued at 44,000$, and after 9 years it's value dropped to 15,000$, we can say that the car's value dropped in 29,000$. If we suppose that the drop is the same every year, we can say that it was of 3,222,2$ by each year.

This amount of money is the 7,3% of the initial value of the car (I multiplied 3,222,2 x 100 : 44,000).

a) The annual rate of change was of 7,3%.

b) There are 14 years between 1993 and 2007. If we multiply 7,3% by 14, we get that the car lost 102,2% of it's initial value.

8 0
3 years ago
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Write a quartic trinomial with a leading coefficient of 2 using standard form
lions [1.4K]
Quartic => polynolial degree 4, i.e. the highest exponent of the variable is 4

trinomial=> three terms

leading coefficient = the coefficient in front of the term with the highest exponent.

standard form=> ax^4 + bx^3 + c^2 + dx + e

Solution:

2x^4 + x^3 + 0x^2 + 0x + 30

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3 0
3 years ago
Solve the following inequality using both the graphical and algebraic approach: 0.5 x + 3 greater-than-or-equal-to 2 x minus 1.5
Liono4ka [1.6K]

Answer:

d. x les-than-or-equal-to 3 Graph B

Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)

Step-by-step explanation:

The given inequality is expressed as follows;

0.5·x + 3 ≥ 2·x - 1.5

Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;

For x = -1, 0, 1, 2, 3, 4, 5, 6

y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6

y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5

From the given data, the lines intersect at (3, 4.5)

The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)

Please find attached the required inequality created with MS Excel

Therefore, we have;

3 + 1.5 ≥ 2·x - 0.5·x

4.5 ≥ 1.5·x

∴ 3 ≥ x

x ≤ 3

Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B

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3 years ago
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