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3 years ago

Give a number that is not in the domain of f(x) = √3x-6

1 answer:

5 0

Any number that is less than 2 will work. It is impossible to find the square root of a negative number (you can only get imaginary number) since anything square is a positive number.
PS. If you are confused by the answer, just ask me.

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

What is the x and y intercept of f (x) = -x^2 + 25

Masja [62]

Answer: the x intercept is -5 and the y intercept is 25.

Step-by-step explanation:

f(x) = -x^2 + 25

The x intercept is when y is zero and the y intercept is when x is zero.So input zero into the expression and solve for y.

-1(0)^2 + 25 = 25 so the y intercept is 25.

0=-x^2 +25

-25 -25

-25 = -x^2

x^2 = 25

x = -5 or 5

8 0

3 years ago

What is 800-5x divided by 6.5

MA_775_DIABLO [31]

Answer:10 over 13 x

Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2

to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13

factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)

for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x

solution: 800-10 over 13x so your answer would still be

8 0

3 years ago

Pete sells a Party Pleaser pizza. He uses 12 oz of cheddar cheese and twice that amount of mozzarella cheese. How much cheese do

lisov135 [29]

Answer:

36oz

Step-by-step explanation:

12x2=24

24+12=36

4 0

3 years ago

Please help me ! I will give you a heart and Brainly , if you put a link I will report you !

Triss [41]

Answer:

<4= 164

Step-by-step explanation:

the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle

<1+<2=<4

8x+9+5x+12=14x+10

13x+21=14x+10

21=x+10

11=x

<4=14x+10

<4=14(11)+10

<4=154+10

<4= 164

4 0

3 years ago