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2 years ago

Convert this quadratic to vertex form f(x)=(x-h)^2+k by completing the square. 3x^2-6x+6=0

1 answer:

6 0

$f(x)=3x^2-6x+6\\\\f(x)=3(x^2-2x)+6\\\\f(x)=3(\underbrace{x^2-2x+1}-1)+6\\\\ f(x)=3[(x-1)^2-1]+6\\\\f(x)=3(x-1)^2-3+6\\\\f(x)=3(x-1)^2+3$

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A set of data is described as:

saul85 [17]

Answer:

Step-by-step explanation:

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2 years ago

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Compute the slope of the line intersecting the points (1, 2) and (3, 8). *

DiKsa [7]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)

m = $\frac{8-2}{3-1}$ = $\frac{6}{2}$ = 3

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2 years ago

Can u solve the answer

pickupchik [31]

Answer:

She needs 50 ft² of wood to cover the table

Step-by-step explanation:

You need to know the formula for area of a trapezoid, which is

A = (B1 + B2)h/s (add the bases together, multiply by the height, then divide

by 2)

We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify

A = (12 + 8)(5)/2

A = (20)(5)/2

A = 100/2

A = 50 ft²

5 0

3 years ago

The least common multiple of two numbers is 60 and one of the numbers is 7 less than the other number.What are the numbers.Justi

denis-greek [22]

Answer:

As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 . But Least common multiple of 3 and 10 is 30

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2 years ago

Picture attached with question

Mariana [72]

The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

Explanation:

The parent function of the graph is $f(x)=\sqrt{x}$

The transformation for the parent function is given by $g(x)=3\sqrt{x-2} +5$

Thus, the transformed function is in the form of $y=a\sqrt{x-h} +k$

where a is the vertical compression/stretch,

h moves graph to left or right and

k moves the graph up or down.

Thus, from the transformed function $g(x)=3\sqrt{x-2} +5$ , we have,

$a=3, h=2 , k=5$

The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.

Hence, The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

6 0

3 years ago