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Korvikt [17]
3 years ago
11

Consider the function f(x) = 10x^2 + 6x - 2 when x=3​

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

106

Step-by-step explanation:

Substitute x = 3 into f(x) and evaluate , that is

f(3)

= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106

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Determine and state the coordinates of the center and the length of the radius of the
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we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

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If you want to learn more about circles:

brainly.com/question/1559324

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7 0
2 years ago
I just need to know the answer to B.
sleet_krkn [62]

Answer:

24%

Step-by-step explanation:

45 + 37 + 52 + 94 + 72 = 300

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= 24%

7 0
3 years ago
Which equation is represented by the graph below?
marta [7]

Answer:

Hello,

Answer C

Step-by-step explanation:

Since ln(1)=0

if x=1 then y=4 ==> <u>y=ln(x)+4</u>

y=ln(x) is translated up for 4 units.

3 0
3 years ago
Which of the following is a solution to the inequality y &lt; –2x + 3?
Karo-lina-s [1.5K]
The best answer is A
8 0
3 years ago
A runner increases his velocity from 0 m/s to 20 m/s in 2.0 s. What was his average acceleration?
goblinko [34]

Answer:

a =  \frac{dv}{dt }  =  \frac{20 - 0}{2}  = 10

7 0
3 years ago
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