Find f'(x) for f(x) = −7x2 + 4x − 10.

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

larisa86 [58]

Answer:

The two correct options are:

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Explanation:

The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0

2 years ago

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Find the 21st term in the arithmetic sequence. 3, 7, 11, 15, 19, ...

NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁ = 3 + 80

∴ a₂₁ = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

#SPJ1

5 0

6 months ago

Two parallel lines are crossed by a traversal. What is the value of h?

maxonik [38]

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

8 0

2 years ago

V<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4} * 2

myrzilka [38]

Answer:

$1\frac{3}{4}$

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

$\frac{3}{4} \times2\frac{1}{3}$

$2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}$

$\frac{3}{4} \times\frac{7}{3}$

$3\times7=21$

$4\times3=12$

$=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}$

$=1\frac{3}{4}$

Hope this helps.

7 0

2 years ago

A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height

Anettt [7]

15b is the answer to this question hope this was helpful

5 0

2 years ago

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