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TEA [102]
3 years ago
6

Explain how to determine whether a point is a solution to a linear inequality?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

Example

Is (1, 2) a solution to the inequality

2x+3y>1

2⋅1+3⋅2>?1

2+5>?1

7>1

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Step-by-step explanation:

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2 1/5 × 5/6<br> (its a fraction) <br> PLSSS i need it now its a test
Soloha48 [4]

Answer:

\frac{11}{6} \ \ or \ 1\frac{5}{6}

Step-by-step explanation:

2\frac{1}{5} \times \frac{5}{6} \\\\ = \frac{11}{5} \times \frac{5}{6} \\\\=\frac{11}{6}\\\\=1 \frac{5}{6}

6 0
2 years ago
Read 2 more answers
Consider two functions: g(x)=−x2−6x and the quadratic function ​f(x)​ shown in the table.
S_A_V [24]

Answer:

Hence average rate of change is greater for f(x) in (0,3).

Yes. f(x) is greater than g(x) in the interval (0,3)

Yes. g(3) <f(3)


Step-by-step explanation:

To find average rate of change of f and g in (0,3)

f(3)-f(0)/3 = (9-0)/3 =3

g(3) = -9-18 = -27

g(0) = 0

Rate of change in(0,3) of g(x) = -27/3 =-9

Hence average rate of change is greater for f(x) in (0,3)

---

Both f and g have intercepts of y as 0

Hence both are equal.

3) Yes. f(x) is greater than g(x) in the interval (0,3)

Because g(x) <0 for all x in (0,3) while f(x) >0

4) g(3)= -9-18=-27 <f(3)



5 0
3 years ago
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What is equivalent to 3 radical 8
liq [111]

Answer:

C. 8^x/3

Step-by-step explanation:

According to algebraic principles, if n is the root of a number, then that number to the power of 1/n is equal to it. This would mean that n√a = a^1/n.

This would mean that 3√8 = 8^1/3. When there is a power added to a radical expression such as this, that power will go on the denominator. So (3√8)^2 for example is equal to 8^2/3, and in your case, (3√8)^x = 8^x/3

looking back on the fact that this was added 2 days ago i dont think this helped on your quiz

6 0
3 years ago
How to find trigonomic ratio ​
ycow [4]

Answer:divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

Step-by-step explanation:

divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

7 0
3 years ago
The sum of three consecutive even integers is 36. Let X represent the first integer X plus to represent the second integer and X
tatuchka [14]

x,\ x+2,\ x+4-\text{three consecutive even integers}\\\\\text{The equation:}\\\\x+(x+2)+(x+4)=36\\\\3x+6=36\ \ \ \ |-6\\\\3x=30\ \ \ \ |:3\\\\x=10\\x+2=12\\x+4=14

6 0
3 years ago
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