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UkoKoshka [18]
2 years ago
9

Enrique can spend at most $2240 to renovate his home. One roll of wallpaper costs $32, and one can of paint costs $28. He needs

at least 30 rolls of wallpaper and at least 20 cans of paint. Identify the graph that shows all possible combinations of wallpaper and paint that he can buy. Also, identify two possible combinations.
Mathematics
1 answer:
umka2103 [35]2 years ago
6 0

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

<h3>Inequality</h3>

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (30, 46)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Find out more on Inequality at: brainly.com/question/24372553

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Julli [10]
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Second, now we can continue solving for our variable (x). Let's add 2 to each side.
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Fourth, continue trying to get the variable by itself. Multiply each side by 4.
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x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

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Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

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<u>Answer-</u>

<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>

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This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.

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2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

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