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Lelechka [254]
2 years ago
15

HELP I NEED THESE FOR TODAY MOST BRAINIEST FOR THE FIRST :)!!

Mathematics
1 answer:
Sati [7]2 years ago
6 0

The table of values of function g(x) and the function f(x) = 5x3 + 2x2 – 6x + 7 are illustrations of exponential functions and polynomial functions

<h3>2. The type of function g(x)</h3>

The values on the table can be represented as:

(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)

The above values show that as the values of x increases by 2, the values of function g(x) doubles.

Only an exponential function has this property.

Hence, the table of values represents an (a) exponential function.

<h3>3. Example of a polynomial function</h3>

A polynomial function is represented as:

y = ax^n  + bx^n-2 + .......... + d

Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7

<h3>4. Key features in the functions</h3>

The functions are given as

f(x) = 2x2 + 7x + 6

g(x) = 2x + 5

Set x to 0 to calculate the y-intercept

f(0) = 2(0)2 + 7(0) + 6 = 6

g(x) = 2^0 + 5 = 6

Hence, both functions have the same (c) y-intercept

<em>Questions 1 and 5 are not properly presented</em>

Read more about exponential functions at:

brainly.com/question/12940982

Read more about polynomial functions at:

brainly.com/question/2833285

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Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

7 0
3 years ago
The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side
harkovskaia [24]

Answer:

13.3 cm

Step-by-step explanation:

Apply the Pythagorean Theorem:

hyp² = (2nd longest side)² + (shortest side)².  Here the numbers are:

(24 cm)² = (20 cm)² + (shortest side)², or

576 - 400 = 176 = hyp²

Taking the square root of both sides, we get (shortest side) = 13.3 cm

5 0
3 years ago
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A square sandbox has sides that are 10 feet long. What is the sandbox's area?
Ainat [17]

Answer:

0.0929

Step-by-step explanation:

thats the answer

4 0
2 years ago
Girl name are April, may, June, what is the name the mother?​
Radda [10]

mary is the 4th childs nam,e

3 0
3 years ago
A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
olga_2 [115]

Answer:

\frac{3,25}{5}=0,65 \\ for brand x for 1 fluid ounces

\frac{6}{8}=0,75 for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

3 0
3 years ago
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