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kicyunya [14]
3 years ago
7

7 - 5x > 3x + 31

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

You might be interested in
What is the slope-intercept equation of the line below?
Sedbober [7]

Answer:

Consider points (3,5) and (2,-5) from the graph \\ slope =  \frac{( - 5 - 5)}{(2 - 3)}  \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c =  - 25 \\ y = 10x - 25 \\  \frac{y}{5}  =  2x - 5

7 0
3 years ago
For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]

8(1-\beta)-[2(2-2\beta)(1-\beta)]

8-8\beta-4+8\beta-4\beta^{2}

-4\beta^{2}+4\neq 0

\beta^{2}\neq 1

\beta \neq \sqrt{1}

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0
4 years ago
Please help me solve this question will give you braisnlt !
DIA [1.3K]

Answer:

s = 54m +160

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

(m_1,s_1) = (2,268)

(m_2,s_2) = (4,376)

Next, we determine the slope, M:

M = \frac{s_2 - s_1}{m_2 - m_1}

M = \frac{376 - 268}{4-2}

M = \frac{108}{2}

M = 54

The equation is then calculated as:

s - s_1 = M(m - m_1)

Where:

M = 54

(m_1,s_1) = (2,268)

So, we have:

s - 268 = 54(m - 2)

Open bracket

s - 268 = 54m - 108

Collect like terms

s = 54m - 108 + 268

s = 54m +160

Hence, the equation is: s = 54m +160

6 0
3 years ago
a travel agency charges $64 for each bus ticket and $82 for each train ticket. how much does it cost to buy 3 bus tickets and 4
jekas [21]
520 dollars for 4 train tickets and 3 bus tickets.
6 0
3 years ago
The Slope of a Line
Klio2033 [76]

Answer:

m = -3

Step-by-step explanation:

Slope Formula: m = \frac{y2-y1}{x2-x1}

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

5 0
3 years ago
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