MATHEMATICS COLLEGE

Find the coordinates of B' after a reflection across the x-axis. show your work

Answers

Answer 1

Answer:

Answer:

B'(8, 6)

Step-by-step explanation:

Coordinates of point B = (8, -6)

Reflection across the x-axis results in:

(x, y) → (x, -y)

Coordinates of B'

(8, -6) → (8, -(-6)) = (8, 6)

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This is to confusing

Answers

Answer:

40%

Step-by-step explanation:

because there is 10 parts and if the 10 multipied by 10 (to find the percent) is 100 then the 4 is 40 (the unshaded part would be 60%)

Have a fantastic day!

Solve the equation for X 3(x+2)=2(2-x)

Answers

Answer:

x = - 2/5

Step-by-step explanation:

$3(x+2)=2(2-x)\n\n\mathrm{Expand\:}3\left(x+2\right):\quad 3x+6\n\n\mathrm{Expand\:}2\left(2-x\right):\quad 4-2x\n\n3x+6=4-2x\n\n\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\n\n3x+6-6=4-2x-6\n\n3x=-2x-2\n\n\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\n\n3x+2x=-2x-2+2x\n\nSimplify\n\n5x=-2\n\nDivide\:both\:sides\:by5\n\n(5x)/(5)=(-2)/(5)\n\nx=-(2)/(5)$

What is the domain of the function f (x) = StartFraction x + 1 Over x squared minus 6 x + 8 EndFraction?

Answers

Answer:

D Edg

Step-by-step explanation:

all real numbers except 2 and 4

Answer: (-∞, 2)∪(2, 3]∪(4, ∞)

Step-by-step explanation:

Domain is the allowed x values in the function. The numerator, x + 1 will be defined for all numbers. But that fraction wont be, the minute that fractions denominator is equal to zero, your entire function becomes undefined.

So lets figure out what number will make this undefined. Then we'll know the functions domain is everywhere but that x value.

Make x^2 - 6x + 8 = 0

What two numbers multiply to equal +8 but add to equal -6? Thats -4 and -2.

(x - 4)(x - 2) = 0 This means the function is undefined when x equals 4 and 2

(-∞, 2)∪(2, 3]∪(4, ∞)

A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?

Answers

Answer: 2600

Step-by-step explanation:

Using the formula p=%w(part=percent x whole), it would be 1898=.73x, then I used railroad tracks to divide .73 from both sides and got 2600=x

After an 80% reduction you purchase a new sofa on sale for $108 what was the original price

Answers

Answer:

$540

Step-by-step explanation:

Define x as:

x = the Original Price, in dollars ($)

Then,

x - (80%)x = 108, where we note that (80%)x is the reduction amount, so that

20%x = 108,

0.2x = 108,

x = 108/0.2 = $540

Final answer:

The original price of the sofa was $540.

Explanation:

Question:

After an 80% reduction, you purchase a new sofa on sale for $108. What was the original price?

Detailed Answer:

To find the original price, we need to determine what the 80% reduction represents in terms of the original price. If the sale price is 80% of the original price, then we can set up the equation: sale price = 0.2 * original price. We know the sale price is $108, so we can solve for the original price by dividing both sides of the equation by 0.2: original price = $108 / 0.2 = $540. Therefore, the original price of the sofa was $540.

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4. Find the slope and y-intercept.
y= 1/5 x + 4

Answers

Answer:

The slope is $\bold{(1)/(5)}$ and the y-intercept is $\bold{4}$ .

Step-by-step explanation:

We are given an equation in slope-intercept form (y = mx + b).

In this equation, we can define the following variables:

m = slope
b = y-intercept

The slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.

The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.

Therefore, by looking at our equation, we can see that $(1)/(5)$ is the slope, and 4 is the y-intercept.