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3 years ago

Which of the following statements best describes the relationship between the point (5,-20) and the system of

Mathematics

1 answer:

Andreyy893 years ago

5 0

Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

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Gloria works at least 10 hours per week but no more than 25 hours each week. She earns 9.00 an hour. Her weekly earnings depend

emmasim [6.3K]

Answer:

[90,225] notation or 135 range

Step-by-step explanation:

10x9=90

25x9=225

[900,2250] notation or 1350 range

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3 years ago

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

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3 years ago

Division of two quantities is expressed as the ____ of those two quantities.

andreev551 [17]

Division of two quantities is expressed as the quotient of those two quantities.

The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.

There are two different ways to find the quotient of two numbers. One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is by employing the long division method where the quotient value is positioned above the divisor and dividend.

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quester [9]

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

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Answer:

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Step-by-step explanation:

1. a dice is a cube a cube has 6 sides a single number dice is a dice that only has numbers that are by themselves so the awnser can only be on the dice 6 to 9 so now we know that it is 6 now 6 times 2 is 12 because it got rolled twice

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