What is the average rate of change from -3 to 0 of the function represented by the graph?

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

Average rate of change = change in y ÷ change in x

We already know the change in x because we are measuring the x values from -3 to 0.

change in x = 0-(-3) = 3

To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.

change in y = 0.5-2 = -1.5

average rate of change = -1.5/3 = -0.5

answer: -0.5

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kondaur [170]

A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
the sum of the digits of a two-digit number is 6
x + y = 6 
if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
y - x = 2
x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

4 0

3 years ago

Please help, marking brainliest if correct

bezimeni [28]

Answer:

Step-by-step explanation:

2x+x+4=115 (ext ∠)

3x=111

x=37

∠MNO=2(37)

=74°

8 0

3 years ago

Read 2 more answers

How do i find the vertical asymptote?

levacccp [35]

Answer:

find the value of x that makes the denominator zero: x = 7

Step-by-step explanation:

A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).

To find the value of x at the vertical asymptote, solve the equation ...

denominator = 0

x - 7 = 0

x = 7 . . . . . . . add 7 to both sides