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Georgia [21]
2 years ago
14

Translate the sentence into an inequality. The product of x and 3 is greater than -25.

Mathematics
2 answers:
TiliK225 [7]2 years ago
5 0

Answer:

x · 3 > -25

Step-by-step explanation:

nexus9112 [7]2 years ago
3 0

Answer:

x · 3 > -25

I hope that this helped!

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Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
astra-53 [7]

Answer:

See attached. (Both inequalities graph to the same region.)

Step-by-step explanation:

To graph an inequality, you first replace the inequality symbol by an equal sign. Then you graph the line (or curve) described by the equation. If the inequality symbol includes the "or equal to" case, then the line (or curve) is solid and is part of the solution set. If not, then the line (or curve) is dashed and is <em>not part of the solution set</em>.

Here, the line x+y=5, will bound the solution set, but is not part of it.

Note that the line -x -y = -5 (from the second inequality) is the same ilne.

_____

After you have graphed the boundary of the solution region, you need to determine which side of the boundary has the solutions. I find it easy to do this by locating an x- or y-term with a positive coefficient and seeing which side of the inequality symbol that lies on. Here, both the x-term and the y-term lie on the "is greater than" side of the symbol, so the half-plane is shaded above and to the right of the line, where x- and y-values are greater than they are on the line.

In the second inequality, you can multiply the whole thing by -1 to get

... x + y > 5 . . . . same as the first inequality

or you can add (x+y) to both sides to get

... 0 < -5 +x +y

Once again, the x- and y-values that satisfy this are greater than those that are on the boundary line.

_____

The graph seems to show only one equation. Both are there, but the dashed blue line sits on top of the dashed red line, so you can't see it. The purple shading indicates both red and blue shading in the same area.

===== =====

Of course you graph the boundary line the way you would any linear equation. In this form, it is not too difficult to see that both the x- and y-intercepts are 5. (When x=0, y=5; and when y=0, x=5 for the boundary line's equation x+y=5.) Draw the dotted line through these intercept points, add shading above, and you have your graph.

6 0
3 years ago
Pls show your work if possible ​
jenyasd209 [6]

Answer:

32 in²

Step-by-step explanation:

A= ((a+b)/2)*h

A= ((6+10)/2)*4

A=32

6 0
3 years ago
Describe and correct the error in finding DC
sleet_krkn [62]

Answer:

DC = 2

Step-by-step explanation:

The wrong equation was used.

The right equation to use based on the midsegment theorem of a trapezoid is:

MN = ½(AB + DC)

MN = 8

AB = 14

Substitute

8 = ½(14 + DC)

Multiply both sides by 2

8*2 = ½(14 + DC)*2

2*8 = 14 + DC

16 = 14 + DC

16 - 14 = 14 + DC - 14

2 = DC

DC = 2

6 0
3 years ago
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
Andreas93 [3]

Answer:

  • Minimum 100 bicycles
  • Minimum cost is 13500

Step-by-step explanation:

<u>Given function:</u>

  • C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

<u>Vertex of the given function is:</u>

  • x = -(-600)/(2*3) = 100

b.

<u>Cost at vertex is:</u>

  • C(100) = 3*100^2 - 600*100 + 43500 = 13500
7 0
3 years ago
3.
lilavasa [31]

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

4 0
3 years ago
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