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2 years ago

Evaluate A^2-B^2 for A=3 and B=-4.

Mathematics

1 answer:

MAXImum [283]2 years ago

4 0

Answer:

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

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what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2

Mademuasel [1]

The maximum number of relative extrema of the given polynomial is; 3

<h3>How to find the maxima of a Polynomial Function?</h3>

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

Read more about Polynomial Maximum at; brainly.com/question/13710820

#SPJ1

7 0

1 year ago

Choose the graph which matches the function. (2 points) f(x) = 3x-4

vovangra [49]

The last image is the graph of $y = 3^x$

In fact, it is an increasing exponential function, and it passes through the points $(0,1)$ , which reflects the fact that $3^0=1$ and $(1,3)$ , which reflects the fact that $3^1=3$ .

Now, $y = 3^{x-4}$ is a child of the parent function we just described. Precisely, it is the result of the transformation $f(x) \to f(x-4)$

In general, every time you perform a transformation like $f(x) \to f(x+k)$ , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case $k = - 4$ , we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

The first graph is the parent function translated 4 units to the left
The second graph is the parent function translated 4 units down
The third graph is the parent function translated 4 units to the right
The fourth graph is the parent function

5 0

3 years ago

Which choice is equivalent to √10*√5? A. 5√2 B. 25√2 C. 5√10 D. 2√5

DanielleElmas [232]

Answer: $5\sqrt{2}$

Step-by-step explanation:

$\sqrt{10} *\sqrt{5} =\sqrt{50} =\sqrt{2*5*5} =5\sqrt{2}$

3 0

3 years ago

Find the values of the mode when median is given to be 5 and mean is 7.

Reil [10]

Answer:

Mode = 1

Step-by-step explanation:

Relation between the Central Measures of Tendency

Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
The formula between the three is given by :
⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3Median

Solving