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max2010maxim [7]
3 years ago
5

_ 1)

Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer: A)

Step-by-step explanation: If You just look at the numbers you can single out which one is correct

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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
What is the length of XZ
Artemon [7]

Answer:

XZ=13\ units

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

XZ^2=XY^2+YZ^2

substitute the given values

XZ^2=12^2+5^2

XZ^2=144+25

XZ^2=169

square root both sides

XZ=13\ units

6 0
3 years ago
A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 y
Helen [10]
The answer is D. the amount of fabric needed for each pair of shorts.
5 0
3 years ago
Read 2 more answers
Which statement describes the end behavior of the exponential function f(x) = 2x – 3?
charle [14.2K]
The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0.  This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.  

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well.  Since it continues to grow exponentially, we say the value approaches ∞.
3 0
3 years ago
Read 2 more answers
Which of the following inequalities matches the graph?
S_A_V [24]
X<-3 would be the answer
7 0
3 years ago
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