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tatyana61 [14]
3 years ago
15

Evaluate f(x)=e2x−1+2 when x=3. Give an approximate answer rounded to three decimal places.

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

f(3) ≈ 17.310

Step-by-step explanation:

e = 2.71828

Step 1: Define

f(x) = e2x - 1 + 2

x = 3

Step 2: Substitute and evaluate

f(3) = e2(3) - 1 + 2

f(3) = 6e + 1

f(3) = 16.3097 + 1

f(3) = 17.3097

f(3) ≈ 17.310

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Find an equation of the line that passes through the pair of points (-5, -9) and (2,-7)
vladimir1956 [14]

Answer:

y=0.3x - 7.6

Step-by-step explanation:

line: y=ax+b

a= Δy ÷ Δx

a= (-9 + 7) ÷ (-5 - 2)

a= -2 ÷ -7 = approximately 0.3

y=0.3x + b

Now you can fill in one of the points to find b (or both to make sure you got the answer right).

0.3 × 2 + b = -7

0.6 + b = -7

b = -7 - 0.6 = approximately -7.6

So: an equation of the line that passes through this pair of points is y=0.3x - 7.6

On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.

4 0
3 years ago
Which is the completely factored form of 4x3 10x2 – 6x? 2(x 3)(2x – 1) 2x(x 3)(2x – 1) 2x(x – 3)(2x – 1) 2(x – 3)(2x 1).
Natalija [7]

The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).

Option B represents the correct factors of the equation.

<h3>What is a Factor of the number?</h3>

A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.

Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.

4x^3+10x^2-6x = 0

We take the common term 2x, then,

2x ( 2x^2 + 5x -3)=0

2x ( 2x^2 +6x -x -3)=0

2x (2x (x+3) -1(x+3))=0

2x (2x-1)(x+3)=0

Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.

To know more about the factors, follow the link given below.

brainly.com/question/3423184.

6 0
2 years ago
PLEASE DO THIS I NEED HELP
garri49 [273]

Answer:

the one gonna truend into two

at th down the two truend into one y is the meaning that connot has issue with fractions

4 0
2 years ago
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Find all the powers of 4 in the range 4-1000
lara31 [8.8K]

4¹ =  4
4² =  16
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3 0
3 years ago
The function f(x) is graphed on the coordinate plane.
tatiyna
F(x) = 1/4x-1

i hope this helps!
6 0
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