In the function f(x) = x^2 - 2x + 3, what is f(2)?

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

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

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

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

this is the answer, and the option that has it is answer is option 1

Answer:

See picture attached

Step-by-step explanation:

The missing question is:

Draw the graph of the growth function by plotting its G-intercept and another point.

Given the function:

G(x) = 2 + 7x

its G-intercept is found when variable x is equal to zero.

G(0) = 2 + 7(0) = 2

Then, the G-intercept is point (0, 2)

To graph a line, two points are needed. Replacing x = 1 into the equation, we get:

G(1) = 2 + 7(1) = 9

So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                                 = [tex]\frac{260-140}{12-6}[/tex]

                                                                 = [tex]\frac{120}{6}[/tex]

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

Answer:

(f-1)

Step-by-step explanation:

If you substitute a for (f-1) you get the expression...

The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f

f² + g⁴ − 2f + 1

f(f - 2) + g⁴ + 1

a = f

Therefore, the value of a is f

Learn more about algebraic expression:

https://brainly.com/question/4344214

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”

Answer:

C

Step-by-step explanation:

[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]

Hope this helps..

Answer:

C.  [tex] a \ge -6 [/tex]

Step-by-step explanation:

[tex] 48 \ge 6 - 7a [/tex]

Add 7a to both sides.

[tex] 7a + 48 \ge 6 [/tex]

Subtract 48 from both sides.

[tex] 7a \ge -42 [/tex]

Divide both sides by 7.

[tex] a \ge -6 [/tex]

Answer:   [tex] a \ge -6 [/tex]

Answer:

The answer is B.

Step-by-step explanation:

Just took the quiz on A P E X .

a squared + b squared = c squared

576+100=c squared

676=c squared

c squared = 26

hope it helps

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

Answer:

The answer would be C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click THANKS

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

===========================================================

Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

----------------

As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

Answer:

2

Step-by-step explanation:

Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.

The extraneous solution obtained by Kaylee is y = 4.

To solve the equation, let's follow Kaylee's approach and square both sides:

[tex](1 - y)^2 = (2y^2 - 7)[/tex]

Expanding the left side:

[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]

Rearranging the equation and combining like terms:

[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]

Now, to solve this quadratic equation, we can factor it:

-(y - 4)(y + 2) = 0

Setting each factor equal to zero:

y - 4 = 0   or   y + 2 = 0

Solving for y in each equation:

y = 4   or   y = -2

However, we need to check if these solutions are extraneous by substituting them back into the original equation:

For y = 4:

[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]

-3 ≠ 5

For y = -2:

[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]

From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.

Therefore, the extraneous solution obtained by Kaylee is y = 4.

To know more about extraneous solution, refer here:

https://brainly.com/question/32777187

#SPJ2

The correct answer is B. A structure that is used to represent a complex system

Explanation:

A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"

Answer:

B. a structure that is used to represent a complex system

Step-by-step explanation:

just did the quiz on ed

[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]

Answer:

D

Step-by-step explanation:

If you draw the shape in D and assemble it you will get the answer

btw please mark brainliest

Answer:

Step-by-step explanation:

9.72*400

= 3888 miles

Inform me if I am right

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

Answer:

D. -√35/6

Step-by-step explanation:

Y-intercept:

To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.

Slope:

To find the slope of the line, use the equation:

(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.

Equation:

y = (y-intercept) + x(slope)

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.