Katherine worked a total of 60 hours a week. She was paid $4.50 an hour. How much money did she make a week

Urgent!!!! The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and stan

Effectus [21]

Answer:95%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the factored form of the polynomal? x2-12x+27

lianna [129]

Answer:

The answer is $(x-9) (x-3)$ .

Step-by-step explanation:

This is because when you multiply them together you get

$x^{2}$ , $-9x$ , $-3x$ , and $27$

When you add the like terms you get,

$x^{2} - 12x +27$

6 0

3 years ago

Which of the following inequalities has a solution x≥−3

My name is Ann [436]

Answer: A

Step-by-step explanation: 3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3

6 0

3 years ago

Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

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8 0

2 years ago

What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

BARSIC [14]

Answer: = (-2,3)

Step-by-step explanation:

Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.

Here, fixed point = origin = (0,0)

Transformation rule for rotation of $90^{\circ}$ counterclockwise about the origin:

$(x,y)\to (-y,x)$

Then, the image of the point (3,2) = (-2,3)

Hence, the image of the point (3,2) after a rotation of $90^{\circ}$ counterclockwise about the origin = (-2,3)

4 0

3 years ago