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2 years ago

Which of the following is the graph of y=√-x-3 EndRoot?

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The square root function (√) only gives positive values, so graphs 1 and 4 make no sense.

When x = -3, the y-value is 0, consistent with graph 3.

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Round 2,795 to the nearest ten

Ahat [919]

Answer:

2,800

Step-by-step explanation:

6 0

2 years ago

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Can u pls help me with this question

Leto [7]

<h3>Answer:</h3>

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

7 0

3 years ago

Are these lines parallel, perpendicular, or neither?!

Lyrx [107]

the lines are perpendicular because they're crossing each other

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3 years ago

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What does simplify the expression mean in algebra?

Pavel [41]

Reduce the number of terms in the expression by operating on like terms
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6

the like terms are the x^2 and x^2 , -3x and 6x and 4 and -6

so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2

This is the simplified form of the original expression

5 0

3 years ago

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