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Anastaziya [24]
3 years ago
10

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2? –10 –5 5 10

Mathematics
2 answers:
frutty [35]3 years ago
5 0
<span>3(x – 4) ≥ 5x + 2

3*x - 3*4 </span><span>≥ 5x + 2
</span>
3x - 12 <span>≥ 5x + 2

3x - 5x </span><span>≥ 2 + 12

-2x ≥ 14               

x ≤ 14 / -2      When dividing by a -ve number the sign reverses.

x ≤ -7
</span>
lesya692 [45]3 years ago
3 0
3(x-4)\geq 5x+2
Opening brackets;
3x-12\geq5x+2
Putting like terms together;
3x-5x\geq 2+12
-2x\geq 14
x\leq -7
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yanalaym [24]
Left over is 456 minus total of A+B+C
456-334=122
C d are equal so 122/2=61
4 0
4 years ago
Read 2 more answers
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she e
andrew11 [14]

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

7 0
3 years ago
What is X if
umka2103 [35]

Answer:

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

Step-by-step explanation:

\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}

X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}

X = \begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

7 0
3 years ago
You are on the south side of a river and you need to cross the river in order to get to a campsite. Not
Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that  campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

                                              = 3 - 1

                                              = 2 miles per hour

1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

Or

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = \sqrt{(altitude)^2 + (Base)^2

=\sqrt{.25^2+1^2}

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]



7 0
3 years ago
What is the slope-intercept equation for the line below? (0,1) (4,3)
levacccp [35]

y2 - y1

---------

x2 - x1

3 - 1        2            1

------- = -------- = --------

4 - 0        4            2

Find the y-intercept:

1 = 1/2(0) + b

1 = 0 + b

-0  -0

1 = b

The slope-intercept equation is:

y = 1/2x + 1

so its D


6 0
3 years ago
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