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3 years ago

6

Which system of inequalities has a solution set that is a line?

2 answers:

nasty-shy [4]3 years ago

8 0

Answer: the first option:

x+ y ≥ 3
x + y ≤ 3

Explanation:

The solution set of that system is the intersection of the solution sets of each inequality.

The solution set of the inequality x + y ≥ 3 is the line x + y = 3 and all the region up and to the right ot that line.

The solution set of the inequality x + y ≤ 3 is the same line x + y = 3 and all the region down and to the left of that line.

So, you can see that the intersection of both sets is the line x + y = 3. Therefore, this is the solution.

Mars2501 [29]3 years ago

4 0

First choice!
Hope this answer can help you!

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The answer is 16 and 3

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There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.

klasskru [66]

Answer:

10:5= 2:1

Step-by-step explanation:

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3 years ago

Read 2 more answers

When factoring x2 – 3xy + 2y2 by grouping the first step can be:

blagie [28]

Answer:

x^2 – 3xy + 2y^2

Step-by-step explanation:

Factor the following:

x^2 - 3 x y + 2 y^2

Hint: | Factor the quadratic x^2 - 3 x y + 2 y^2.

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3 years ago

What is the length of XZ

Artemon [7]

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

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Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

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$XZ^2=12^2+5^2$

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6 0

3 years ago

A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of

luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

represents the concentration of apple juice in the drink when $x$ gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

and

$x=6\ gallons$

$f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}$

In percentage, the concentration 17.5.

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3 years ago