admin

2 months ago

Guest #6072

2 months ago

This would be a decrease because the y value gets smaller as the x value gets larger.

Guest #6073

2 months ago

It Would Be A Decrease Fam

Question

What is the sum of the interior angles of a regular shape witj 6 sides

Solution 1

Regular shape with six sides: That is a Hexagon

Sum of angles in a regular Polygon is: (n - 2)*180

Where n = Number of sides

For Hexagon, n = 6.

Sum = (n - 2)*180

= (6 - 2)*180 = 4 * 180 = 720°

Sum of angles in a regular Polygon is: (n - 2)*180

Where n = Number of sides

For Hexagon, n = 6.

Sum = (n - 2)*180

= (6 - 2)*180 = 4 * 180 = 720°

Question

Consider the following sequence of numbers 3, -9, 27, -81, …. Common Ratio Of The Sequence is?
A. 1/3
B. -1/3
C. -3
D. 3
The Sum Of The First Five Terms Of The Sequence Is?
A. 183
B. -303
C. -60
D. 363

Solution 1

**QUESTION 1**

The given sequence is .

The first term of the sequence is

The second term is

The common ratio can be found using any two consecutive terms of the sequence.

Thus, the common ratio is given by .

This implies that,

This simplifies to,

**The correct answer is C**

**QUESTION 2**

The sum of the first n terms of a geometric sequence is given by;

.

Since we are looking for the first five terms, we substitute , and into the formula to obtain,

This will evaluate to give us;

**The correct answer is A**

Solution 2

**Answer:**

Q1. A ; 1/3

Hope this helps !

Question

If SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325, find the probability that a randomly selected SAT score is between 1550 and 1575. A.
0.5714
B.
0.9684
C.
0.0316
D.
0.5398

Solution 1

Mean, x_bar = 1518

Standard deviation, sigma = 325

Range required: 1550 ≤ X ≤ 1575

Z = (X - x_bar)/sigma

Z1 = (1550-1518)/325 ≈ 0.1

Z2 = (1575-1518)/325 ≈ 0.18

From Z tables,

P(Z1) = 0.5398

P(Z2) = 0.5714

P(1550≤X≤1575) = P(Z2) - P(Z1) = 0.5714 - 0.5398 = 0.0316

The correct answer is C.

Standard deviation, sigma = 325

Range required: 1550 ≤ X ≤ 1575

Z = (X - x_bar)/sigma

Z1 = (1550-1518)/325 ≈ 0.1

Z2 = (1575-1518)/325 ≈ 0.18

From Z tables,

P(Z1) = 0.5398

P(Z2) = 0.5714

P(1550≤X≤1575) = P(Z2) - P(Z1) = 0.5714 - 0.5398 = 0.0316

The correct answer is C.

Solution 2

**Answer:**

C.

0.0316

**Step-by-step explanation:**

Question

What is the equation of the line that passes through the points (0, -4) and (2, 8)? A. y = 6x - 4
B. y = 6x + 4
C. y = 4x + 6
D. y = -4x + 6

Solution 1

Option A is your answer, y = 6x - 4.

m = Y₂ - Y₁ / X₂ - X₁

m = 8 - (- 4) / 2 - 0

m = 12 / 2

m = 6

So now your equation is y = 6x + b. This eliminates options C and D. Plug in any of your ordered pairs to find b. I picked the first one.

- 4 = 6(0) + b

- 4 = 0 + b

- 4 = b

Your equation is y = 6x - 4.

m = Y₂ - Y₁ / X₂ - X₁

m = 8 - (- 4) / 2 - 0

m = 12 / 2

m = 6

So now your equation is y = 6x + b. This eliminates options C and D. Plug in any of your ordered pairs to find b. I picked the first one.

- 4 = 6(0) + b

- 4 = 0 + b

- 4 = b

Your equation is y = 6x - 4.

Question

Write an equation for the line that passes through (0, -9) and (3, 0). A. y = 3x + 9
B. y = -9x + 3
C. y = 3x + 3
D. y = 3x - 9

Solution 1

First find the slope of the line:-

= (0- - 9) / (3 - 0) = 9/3 = 3

Now use the point slope form of the equation to plug in the point (3,0):-

y - y1 = 3(x - x1)

y1 = 0 and x1 = 3:-

y - 0 = 3(x - 3)

y = 3x - 9 is the answer Its D.

= (0- - 9) / (3 - 0) = 9/3 = 3

Now use the point slope form of the equation to plug in the point (3,0):-

y - y1 = 3(x - x1)

y1 = 0 and x1 = 3:-

y - 0 = 3(x - 3)

y = 3x - 9 is the answer Its D.

Question

A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image? (x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9

Solution 1

The center of the given circle = (-4, 3)

So the center of the image = (-4, 3 -2(4) = (-4, -5)

So the equation of the image is

(x + 4)^2 + (y + 5)^2 = 9

Its choice 3.

So the center of the image = (-4, 3 -2(4) = (-4, -5)

So the equation of the image is

(x + 4)^2 + (y + 5)^2 = 9

Its choice 3.

Question

Which of the following equations is non-linear? A. 5x + 1 = -4x + y
B. y - 2 = 3x + |-2|
C. x + 4y = 2y + 15 - x
D. y + 10y - 3 = 2|x| - 4y

Solution 1

Hello!

A line that has the absolute value of a variable is not linear

The answer is D) y + 10y - 3 = 2/x/ - 4y

Hope this helps!

A line that has the absolute value of a variable is not linear

The answer is D) y + 10y - 3 = 2/x/ - 4y

Hope this helps!

Question

-2x+4y=-8 which graph models the equation

Solution 1

Hello!

First you have to get the equation into slope-intercept form

Slope-intercept form is y = mx + b

-2x + 4y = -8

Add 2x to both sides

4y = 2x - 8

Divide both sides by 4

y = 1/2 x - 2

The graph is a line that goes through the points (0, -2), (-2, -3), (2, -1) and

(4, 0)

Hope this helps!

First you have to get the equation into slope-intercept form

Slope-intercept form is y = mx + b

-2x + 4y = -8

Add 2x to both sides

4y = 2x - 8

Divide both sides by 4

y = 1/2 x - 2

The graph is a line that goes through the points (0, -2), (-2, -3), (2, -1) and

(4, 0)

Hope this helps!

Question

Which value makes g true (x-3)(x+5)=x^2+gx-15

Solution 1

If the g is a **2**, the two equations would be equal. So that is your answer.

Question

Determine if the statement is always, sometimes, or never true: A scalene triangle is an acute triangle.

Solution 1

Always true.....……................

Solution 2

**Answer:**

it is true

**Step-by-step explanation:**

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