MATHEMATICS COLLEGE

Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s) in the appropriate answer blanks). Enter DNE in any unused blanks.

Answers

Answer 1

Answer:

Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

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The line AB has midpoint (2,5).
A has coordinates (1, 2).
Find the coordinates of B.

Answers

Answer:

$X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

$X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

Final answer:

The coordinates of point B are (4, 8).

Explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(xm, ym) of a line segment with endpoints A(x1, y1) and B(x2, y2) are given by:

xm = (x1 + x2) / 2

ym = (y1 + y2) / 2

In this case, we are given that the midpoint M is (2, 5) and A is (1, 2). We can substitute these values into the formula:

2 = (1 + x2) / 2

5 = (2 + y2) / 2

Now, we can solve for x2 and y2:

x2 = 4

y2 = 8

Therefore, the coordinates of point B are (4, 8).

Learn more about Coordinates

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GIVING BRAINLY!!!!! PLSSSSS HELPPPPthe sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs

Answers

Answer:

(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)

Step-by-step explanation:

Final answer:

The pairs of whole numbers that add to 63 and have a difference less than 10 are (27, 36), (28, 35), (29, 34), (30, 33), and (31, 32).

Explanation:

This problem is based in the domain of basic algebra. Essentially, you are being asked to find pairs of whole numbers that, added together, equal 63, with the condition that the difference between these two numbers is less than 10.

Starting from the number 32 (as any larger number plus any number greater than 0 would exceed 63), you can begin to list pairs, subtracting one number from the total of 63 while simultaneously adding that same amount to the other half of the pair. This will ensure that the sum always equals 63.

Here are the pairs satisfying the given conditions: (27, 36), (28, 35), (29, 34), (30, 33), (31, 32). For these pairs, the difference between the two numbers in each pair is less than 10.

Learn more about Number Pairs here:

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A valid conclusion for the quadratic equation x2 - 6x + 8 = 0

Answers

Answer:

(x-4)(x-2)

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!!What is the slope of the line?

y=3
options:

0

1

3

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Answers

Answer:

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

Step-by-step explanation:

Unit Activity: Advanced Functions

Answers

See attached file for the solution/explanation to the 12 questions.

Find the numerical value of the log expression HELP PLS

Answers

The value of $\rm{log\ 10^(19)$ is 19.

Logarithm

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c=b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

$\rm{log\ 1000 = 3$