Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8 A. f(x) = x + 2 B. f(x) = 3x C. f(x) = x – 2 D. f(x) = x – 1

Answers

Answer 1

Answer:

Answer:

The answer is A.

Step-by-step explanation:

In this kind of exercise the usual way to solve it is s kind of trial an error. We evaluate f(x) in the given values of x and check if it corresponds with the values of f(x) in the table. If only one of the calculations does not correspond we dismiss the function.

Let us start our analysis from D. to A.

D. In this case f(x) = x-1, then f(-3) = -3-1=-4, and the result does not correspond to the values of the table (recall f(-3)=-1).

C. The same idea: we have f(x)=x-2, then f(-3)=-3-2=-5, and the result does not correspond to the values of the table (recall f(-3)=-1).

B. Here f(x)=3x, then f(-3)=3*(-3)=-9, and the result does not correspond to the values of the table (recall f(-3)=-1).

A. Now f(x)=x+2, then f(-3)=-3+2=-1, and the result does correspond to the values of the table (recall f(-3)=-1). So, we need to check the next values of the table:

f(0)=0+2=2, f(3)=3+2=5 and f(6)=6+2=8.

As all the values are equal to those in the table, we conclude that A. is the correct answer.

Answer 2

Answer: If you notice:

x = -3, f(x) = -3 + 2 = -1

x = 0, f(x) = 0 + 2 = 2

x = 2, f(x) = 2 + 2 = 4

x = 3, f(x) = 3 + 2 = 5

And so on...

By observation: f(x) = x + 2. Option (A).

I hope this helps.

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A scale drawing of a square has a side length of 5 millimeters. The drawing has a scale of 1 mm : 5 km. Find the actual perimeter and area of the square.

I need help, if you do help please dont put picture thank you!

Answers

Answer:

181

Step-by-step explanation:

Area of a semicircle: 1/2 (pi • r^2)

1/2(3.14 • 100)

1/2 ( 314 )

157

Triangle:

(6 • 8) ÷ 2

48 ÷ 2

Add the area of the triangle & semicircle together: 157 + 24 = 181

Hope this helps! Have a great day!

Use the angle difference identity to sovle 5cos2(theta) =1 for 0 degrees is less than or equal to theta is less than 360 degrees

Answers

use cos (2∅)= 2cos² ∅ -1

5(2cos²∅ -1 )=1
10cos²∅ -5 = 1
10cos²∅ = 6
cos²∅ = 0.6
cos∅ = ± √(0.6)
∅= 39.2,180 - 39.2, 180 + 39.2 , 360 - 39.2
∅ = 39.2 , 140.8 , 219.2 , 320.8

A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?3050 in3

84.8 in3

382 in3

215 in3

Answers

Answer: The correct option is (C) 382 in³.

Step-by-step explanation: Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

$V=(4)/(3)\pi r^3.$

The diameter of the basketball is about 9 inches, so its approximate radius will be

$r=(9)/(2)=4.5~\textup{inches}.$

Therefore, the approximate volume of the basketball is

$V\n\n\n=(4)/(3)\pi r^3\n\n\n=(4)/(3)* 3.14* (4.5)^3\n\n\n=(4*3.14* 91.125)/(3)\n\n\n=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.$

Thus, the best approximation of the volume of the ball is 382 in³.

Thus, (C) is the correct option.

382 in3

Just look up volume of a sphere and a thing comes up all you have to put in is the radius (aka half of 9 which is 4.5) You're welcome.

Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 right 3 units?A. The y-coordinate of the center of the circle decreases by 3.
B. The y-coordinate of the center of the circle increases by 3.
C. The x-coordinate of the center of the circle increases by 3.
D. Both the x- and y-coordinates of the center of the circle increase by 3.

Answers

Answer:

Option C is correct that is the x-coordinate of the center of the circle increases by 3.

Step-by-step explanation:

The given equation is:

$(x+3)^2+(y-2)^2=36$

Since, the circle is shifted right 3 units

There, will be no change in y-axis because it is horizontal change.

So, Option A,B and D are discarded.

Therefore, Option C is correct that is the x-coordinate of the center of the circle increases by 3.

Answer:

Optcion c

Step-by-step explanation:

slay

What is the discriminant of the quadratic equation 2x + 5x2 = 1?–18
–16
22
24

Answers

Applying it's formula, the discriminant of the quadratic equation 2x + 5x² is given of 24.

What is the discriminant of a quadratic equation?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

In this problem, the equation is:

2x + 5x² = 1.

In standard form:

5x² + 2x - 1 = 0.

Hence the coefficients are a = 5, b = 2, c = -1, and the discriminant is given by:

$\Delta = b^2 - 4ac = (2)^2 - 4(5)(1) = 4 + 20 = 24$ .

More can be learned about discriminant at brainly.com/question/19776811

#SPJ2

Hello,

Answer D

Δ=2²-4*5*(-1)=4+20=24

The parent function f(x)=log^3x has been transformed by reflecting it over the X axis, stretching it vertically by a factor of two and shifting it up three units. Which function is representative of this transformation

Answers

Answer:

Step-by-step explanation:

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