Which of the following is a correct interpretation of the expression -4 - (-7)

Mathematics

1 answer:

Vedmedyk [2.9K]4 years ago

8 0

Answer:

The answer is 3

Step-by-step explanation:

i) -4 - (-7) = -4 + 7 = 7 - 4 = 3 .... since (minus) $\times$ (minus) = plus

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Which inequality is represented by the graph

DanielleElmas [232]

Answer:

y ≥ -2x + 2.5

Step-by-step explanation:

It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b as it is the y-intercept.

Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.

Now that we have our equation, we can make it an inequality!

Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line

Hence, we get the ≥ sign.

Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))

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3 years ago

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8090 [49]

ANSWER

The second statement is the contrapositive of the first.

EXPLANATION

If we have the conditional statement,

$x\Rightarrow \: y$

Then the converse of this statement is
$y\Rightarrow \: x$

The inverse of this statement is
$\neg \: x\Rightarrow \neg \: y$

and the contrapositive of this statement is
$\neg \: y\Rightarrow \neg \: x$

The correct answer is C.

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