Please help ! if i get an answer now i’ll also know how to do it in the future c:

A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?

siniylev [52]

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$ , hence

$log_{4}$ (2x - 12) = 3 ⇒ 2x - 12 = $4^{3}$ = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38

5 0

4 years ago

How is the equation for a vertical line expressed?

DanielleElmas [232]

It is expressed as x=a when a equals the x-intercept.
e.g. a straight vertical line through (0,4) has the equation x=4.

7 0

3 years ago

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed functi

Talja [164]

Answer:

$y=\frac{3}{2}x-3$

Step-by-step explanation:

we have the points

(0,-3),(2,0) and (4,3)

step 1

Find the slope

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

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

we take

(0,-3),(2,0)

substitute the values in the formula

$m=\frac{0+3}{2-0}$

$m=\frac{3}{2}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{3}{2}$

$b=-3$ -----> the point (0,-3) is the y-intercept

substitute

$y=\frac{3}{2}x-3$

The graph in the attached figure

5 0

3 years ago

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How do u do this problem

atroni [7]

Alexis and 3 friends buy:
-Pretzel $4.
-Sauce $1
-Drink $2

First we would multiply all the food prices by 4, since there is 4 people in total.
4 x 4 = $16
1 x 4 = $4
2 x 4 = $8

Now we're adding all the prices together.
16 + 4 + 8 = $28

At this point, we're going to make the expression, using all the steps that we did.
( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )

We used parenthesis to show that those expressions need to be done first before anything else.

This is how we make an expression and we find the total answer.

The expression would be: ( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
The total cost would be: $28

Hope this helps!~

5 0

3 years ago

What is the surface area of the pyramid?

-Dominant- [34]

Answer:

166 square units

Step-by-step explanation:

Let’s find the area of the shapes that in the net.

First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get 26.

Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=60. Since there are two triangles, we multiply 60 by 2 and get 120.

Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=20.

Last, we add up all the areas:

20+120+26=166.

6 0

3 years ago

Read 2 more answers