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2 years ago

9

Rayhana has a coupon for 15% off a single item at a store. If the item has a regular price of p dollars, then the sale price can

be represented by p – 0.15p. Which expression is equivalent?

1 answer:

levacccp [35]2 years ago

8 0

Answer: D.

Step-by-step explanation:

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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those

givi [52]

(1) Vertical asymptote: $x=-4$

(2) Domain: $x>-4$

(3) X intercept: $(-2,0)$ and Y intercept : $(0,1)$

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is $f(x)=\log _{2} x$

The transformed function is $g(x)=\log _{2}(x+4)-1$

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

$x+4=0$

Thus, $x=-4$

The vertical asymptote is $x=-4$

(2) Domain:

The domain of a function is the set of all independent x-values.

$x+4>0$

Thus, $x>-4$

The domain of a function is $x>-4$

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}$

Thus, the x intercept is $(-2,0)$

To determine the y intercept, let us substitute x=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}$

Thus, the y intercept is $(0,1)$

(4) To determine the transformation:

The transformed function $g(x)=\log _{2}(x+4)-1$ is shifted 4 units to the left and shifted 1 unit downwards.

4 0

3 years ago

Start at 3. Create a pattern that multiples each number by 3. Stop when you have 5 numbers

Pachacha [2.7K]

3 9 27 81 243

Its 3 squared, cubed, then to the power of 4 and 5

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3 years ago

Read 2 more answers

Please help me its about Solving by substitution

Vera_Pavlovna [14]

Answer:

x=-2 y=3

Step-by-step explanation:

The substitution is basically given to you. Exchange x from the second equation with y-5

Once that is done and you combine the parentheses you get:

2y-10+y=-1

Add 10 on both sides of the equal sign

You get:

3y=9

Divide both sides by 3

You get:

y=3

To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)

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2 years ago

How do you solve this?<br><br>sin 10 = cos ?

vagabundo [1.1K]

Step-by-step explanation:

sinθ = cos (90 - θ)

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1 year ago

How to you put 5abc+2a^2+6abc i standard form step by step??

user100 [1]

$5abc+2a^2+6abc$

$(5abc+6abc)+2a^2$ $| Gather \ like \ terms|$

$11abc+2a^2
 
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2 years ago