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2 years ago

Is (2, 2) a solution of y < 4x – 6?

Mathematics

1 answer:

Roman55 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

To see if (2,2) is a solution, substitute them into the inequality and see if it is true.

2 is our x value, and 2 is also our y value

y < 4x – 6

2< 4(2)– 6

2 < 8 – 6

2 < 2

This statement is false. 2 is not less than 2, so (2,2) is not a solution to this equation.

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Two angles in a triangle measure (2.3x+25)° and (5.8x+11)°. what is the value of x if the two angles are congruent to one anothe

Anton [14]

Answer:

The answer is D. x= 4

Step-by-step explanation:

The angles are congruent so

2.3x +25 = 5.8x + 11

2.3x - 5.8x = 11 - 25

-3.5x = -14

x = 14/3.5

x = 4.

5 0

3 years ago

Read 2 more answers

Please help me solve this practice SAT question!

lord [1]

Answer:

t=5

Step-by-step explanation:

∵ (t,17) lies on (x,y) plane y=x²-3x+7,t>0

∴ 17=t²-3t+7

t²-3t+7-17=0

t²-3t-10=0

t²-5t+2t-10=0

t(t-5)+2(t-5)=0

(t-5)(t+2)=0

t=5,-2

t>0

so t=5

6 0

3 years ago

Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

Feasible Region vertex

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

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3 years ago

Find the sum of the angles of a 12 sided polygon

Verizon [17]

The formula for the sum of the interior angles of a polygon is equal to (n-2)*180. the polygon has 12sides, so the sum of the interior angles of the polygonis equal to (12-2)*180 = 10*180 = 1800 degrees.

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3 years ago

A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents th

guapka [62]

Answer:

its c

Step-by-step explanation:

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3 years ago