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alexgriva [62]
3 years ago
14

Given the function f(x) = 4" + 3, what is the value of f(3)?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Note:

Your function is a little ambiguous. I think you may have tried to write your function such as:

<em>f(x) = 4x + 3</em>

I am assuming your function as:

f(x) = 4x + 3

Answer:

The value of f(3) = 15

Step-by-step explanation:

Given

Assuming the function is

f(x) = 4x + 3

To determine

The value of f(3)

The value of f(3) can be determined by substituting x = 3 in the function

f(x) = 4x + 3

substitue x = 3 in the function

f(3) = 4(3) + 3

f(3) = 12 + 3

f(3) = 15

Therefore, the value of f(3) = 15

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4k + 12 = 52<br> using algbra
grigory [225]

Answer:

k=10

Step-by-step explanation:

4k + 12= 52

minus 12 on both sides

4k=40

now divide by 4

k=10

5 0
3 years ago
Dana can rent a van for either $80 with unlimited mileage or $45 plus 40 cents per mile. For what numbers of miles traveled woul
myrzilka [38]

Answer:

88 miles.

Step-by-step explanation:

$.40 x 88(miles) = $35.2

$35.2 + $45 = $80.20

Now, the reason it is 88 is because 87 miles would equal

$.40 x 87 = $34.8 (total is $79.80) so that would be $.20 short.

7 0
3 years ago
Please help for brainliest!!:)
grandymaker [24]

9514 1404 393

Answer:

  (c)  P(x) = x^4 +3x^3 -10x^2 -30x

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

  P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))

  P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

  P(x) = x^4 +3x^3 -10x^2 -10x

3 0
2 years ago
Find the approximate area of the regions bounded by the curves y = x/(√x2+ 1) and y = x^4−x. (You may use the points of intersec
Finger [1]

The approximate area of the region bounded by the curves f(x) = x / √(x² + 1) and g(x) = x⁴ - x is approximately 0.806.

<h3>How to determine the approximate area of the regions bounded by the curves</h3>

In this problem we must use definite integrals to determine the area of the region bounded by the curves. Based on all the information given by the graph attached below, the area can be defined in accordance with this formula:

A = A₁ + A₂                                                                (1)

A₁ = ∫ [g(x) - f(x)] dx, for x ∈ [- 0.786, 0]                   (2)

A₂ = ∫ [f(x) - g(x)] dx, for x ∈ [0, 1.151]                       (3)

g(x) = x⁴ - x                                                               (4)

f(x) = x / √(x² + 1)                                                      (5)

Then, we proceed to find the integrals:

∫ g(x) dx = ∫ x⁴ dx - ∫ x dx = (1 / 5) · x⁵ - (1 / 2) · x²                          (6)

∫ f(x) dx = ∫ [x / √(x² + 1)] dx = (1 / 2) ∫ [2 · x / √(x² + 1)] dx = (1 / 2) ∫ [du / √u] = √u = √(x² + 1)                                                                                  (7)

And the complete expression for the integral is:

A = A₁ + A₂                                                                                      (1b)

A₁ = (1 / 5) · x⁵ - (1 / 2) · x² - √(x² + 1), for x ∈ [- 0.786, 0]               (2b)

A₂ = √(x² + 1) - (1 / 5) · x⁵ + (1 / 2) · x², for x ∈ [0, 1.151]                  (3b)

A₁ = 0.023

A₂ = 0.783

A = 0.023 + 0.783

A = 0.806

The approximate area of the region bounded by the curves f(x) = x / √(x² + 1) and g(x) = x⁴ - x is approximately 0.806.

To learn more on definite integral: brainly.com/question/14279102

#SPJ1

6 0
2 years ago
Ayo please help me out
Leya [2.2K]
J. g(x)=-2/3x+4
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4 0
2 years ago
Read 2 more answers
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