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3 years ago

The solution to a system of inequalities is __________.

Mathematics

2 answers:

Yuri [45]3 years ago

7 0

Answer:

Option B is right.

Step-by-step explanation:

Whenever a system of inequalities is given, normally we will get a collection of points that satisfy all the inequalities in the system.

Option A is wrong because a single point cannot be a solution for all inequalities of a system. Normally an interval would be there.

Option B is right.

Option C is wrong since a single point has to satisfy at least one. There cannot be a solution for the full system unless it satisfies all inequalities.

Option D is wrong because satisfying at least one inequality is not sufficient, and satisfying all inequalities is a must.

11111nata11111 [884]3 years ago

4 0

I believe the correct answer from the choices listed above is option B. The solution to a system of inequalities is a collection of points that satisfy all inequalities in the system. It will always be a number of points that will agree with the inequality.

Hope this answers the question. Have a nice day.

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Determine the sign of the leading coefficient

9966 [12]

Answer:

negative

Step-by-step explanation:

The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.

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2 years ago

Find the midpoint of the line segment with the given endpoints: (-1, -6) and (-6, 5).

Vikentia [17]

Answer:

Step-by-step explanation:

First, we will find the midpoint for the x - coordinate first.

Midpoint (x) = $\frac{-1+(-6)}{2} \\=\frac{-1-6}{2} \\=\frac{-7}{2} \\=-3.5$

Now we will find the midpoint for the y - coordinate.

Midpoint (y) = $\frac{-6+5}{2} \\=\frac{-1}{2} \\=-0.5$

Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)

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1 year ago

Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m

trapecia [35]

There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2

Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2

3 0

2 years ago

35 POINTS!!! PLEASE HELP !!!!!!!!!!!!!!

lyudmila [28]

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

A function is increasing when the y-value increases as the x-value increases.

A function is decreasing when the y-value decreases as the x-value increases.

From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:

x-value -2 to -1 → increase
y-value 2 to 0 → decrease

From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:

x-value -1 to 0 → increase
y-value 0 to 2 → increase

From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:

x-value 0 to 1 → increase
y-value 2 to 8 → increase

7 0

1 year ago

I need help! Will mark Brainliest for full answer!!!

Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

where x and y are the two variables and k is the constant of variation

Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

$y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2$

Part c:

We are given that x=7.8 and k=72

Substitute in the original relation and solve for y as follows:

$y=\frac{k}{x}=\frac{72}{7.8}=9.2$ to the nearest tenth

Hope this helps :)

6 0

2 years ago