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Dima020 [189]
3 years ago
9

Which graph shows the solution to the system of linear inequalities? y>2/3x+3

Mathematics
2 answers:
Andrews [41]3 years ago
3 0

Answer:

Graph attached.

Step-by-step explanation:

y > \frac{2}{3}x + 3

When x = 0 , y = 3

When y = 0 , x = -4.5

Graphing the two points (0, 3) and (-4.5, 0) gives the graph attached below:

The shaded part is the wanted region.

Hunter-Best [27]3 years ago
3 0

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

You might be interested in
(04.02 MC)
Scrat [10]

Answer:

y = 2x - 4

Step-by-step explanation:

Rearrange the given equation to slope-intercept form.

x + 2y = 2

2y = -x + 2

y = -1/2x + 1

The slope of the given line is -1/2.  The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.

-1/2 = 2

Find the equation of the new line with the point-slope form using the new slope and given point.

y - y₁ = m(x - x₁)

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x - 4

The equation will be y = 2x - 4.

7 0
3 years ago
Read 2 more answers
Please I really need help with 10-17
Ira Lisetskai [31]
This is for number 10

6 0
3 years ago
Which expression and value represents 9 less than the quotient of 18 and 3?
olga55 [171]

Answer:

kinda hard ,

Step-by-step explanation:

6 1
3 years ago
Read 2 more answers
I’m confused can someone explain?
Novay_Z [31]

Answer:

It is 150 percent

Step-by-step explanation:

You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so:

1 1/2 in percent = (1 + 1/2) × 100% =

(1 + 0.5) × 100% = 1.5 × 100% = 150%

Hope this helps! Sorry if I'm wrong.

3 0
3 years ago
Read 2 more answers
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
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