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2 years ago

Find the equation of the line that passes through the point (6,-2) and has a slope of 1/2

Mathematics

1 answer:

Kitty [74]2 years ago

7 0

Answer:

y=1/2x-5

Step-by-step explanation:

m=1/2

y=1/2x+b

Plug (6,-2) into equation and solve for b

-2=6(1/2)+b

-2=3+b

-5=b

y=1/2x-5

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4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

5 0

3 years ago

E is the midpoint of DF, DE= 73 – 3, and EF = 4.: +3.

Damm [24]

Answer:

i don't really understand what you are asking me

Step-by-step explanation:

4 0

3 years ago

Add -46+(-48)=<br> -42+46=

dalvyx [7]

-46 + (-48) = -94

-42 + 46 = 4

4 0

2 years ago

Terri will replace the tile and carpet in her apartment. How many total square feet of tile and carpet must Terri purchase in or

lana66690 [7]

Answer:Terry need to purchase $195\ ft^{2}$ of tile and $663\ ft^{2}$ of carpet for a total area of $858\ ft^{2}$

Step-by-step explanation:

step 1

Find the square feet of tile

The area of the tile is equal to

$A=(15)(26-13)=195\ ft^{2}$

step 2

Find the square feet of carpet

Remember that

$38\frac{1}{2}\ ft=38.5\ ft$

The area of the carpet is equal to

$A=(38.5)(26)-195-(11)(13)\\A= 1,001-195-143\\A=663\ ft^{2}$

8 0

2 years ago

Simplify the expression

Masja [62]

The solution to the expression $\frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18}$ gives (x + 4)/2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

$\frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18} \\\\=\frac{(x +3)(x +4)}{x-3} .\frac{(x-3)(x-3)}{2(x+3)(x-3)} =\frac{x+4}{2}$

The solution to the expression $\frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18}$ gives (x + 4)/2

Find out more on equation at: brainly.com/question/2972832

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5 0

2 years ago