Which choice shows +=7

Mathematics

1 answer:

ZanzabumX [31]3 years ago

7 0

Answer:

$y=-x+7$

The graph in the attached figure

Step-by-step explanation:

we have

$x+y=7$

This is the equation of the line in standard form

Convert to slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

Isolate the variable y

subtract x both sides

$x+y-x=-x+7$

simplify

$y=-x+7$

The y-intercept is the point (0,7)

Find the x-intercept

For y=0

$0=-x+7\\x=7$

The x-intercept is the point (7,0)

Plot the intercepts and join them to graph the line

see the attached figure

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Graph the inequality.<br> -6 ≤y + 2x < 15

omeli [17]

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

-6 ≤y + 2x
y + 2x < 15

Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

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