Answer:
x = 44
Step-by-step explanation:
log4(x + 20) = 3
Raise each side to the power of 4
4^ log4(x + 20) = 4^3
x+20 = 4^3
x+20 = 64
Subtract 20 from each side
x+20-20 = 64-20
x = 44
Plug in your numbers so the equation will turn out to be 3(4)+6/2(3) , you need to simplify 6/2 which will be 3 and 3 times 3 = 9 so the equation will be 3(4)+9 and 3 times 4 = 12 so the equation will now be 12+9 = 21
Answer= 21
Answer:
![4ft *\frac{12in}{1 ft}= 48 in](https://tex.z-dn.net/?f=%204ft%20%2A%5Cfrac%7B12in%7D%7B1%20ft%7D%3D%2048%20in)
Now since we have the same units for the scale model and the real one we can find the scale factor like this:
![Scale = \frac{48 in}{6in}= 8](https://tex.z-dn.net/?f=%20Scale%20%3D%20%5Cfrac%7B48%20in%7D%7B6in%7D%3D%208)
And we can conclude that the scale factor is 1:8 and that represent that the real object is 8 times larger than the scale model
Step-by-step explanation:
For this problem we know that the scale model had a widthof 6 inches. And the actual model has a width of 4ft. First we need to convert the 4ft to inches and we got:
![4ft *\frac{12in}{1 ft}= 48 in](https://tex.z-dn.net/?f=%204ft%20%2A%5Cfrac%7B12in%7D%7B1%20ft%7D%3D%2048%20in)
Now since we have the same units for the scale model and the real one we can find the scale factor like this:
![Scale = \frac{48 in}{6in}= 8](https://tex.z-dn.net/?f=%20Scale%20%3D%20%5Cfrac%7B48%20in%7D%7B6in%7D%3D%208)
And we can conclude that the scale factor is 1:8 and that represent that the real object is 8 times larger than the scale model
Answer:
c. 10=4(3)+b; b=-2
Step-by-step explanation:
When given a single point (x1, y1)
The Equation of a line formula is given as:
y - y1 = m(x - x1)
From the question
m=4
the point is (3,10),
Hence, Equation of the line is
y - 10 = 4(x - 3)
y - 10 = 4x - 12
y = 4x - 12 + 10
y = 4x - 2
Hence, the correct substitution (y=mx+b)
10 = 4(3) + b
b = -2
Option C is the correct option
Answer:
y=1/4x-1
Step-by-step explanation:
i knew the general equation of the line and i knew the slope would be a fraction because the line is rlly flat
-1 would be the b and i plugged in simple fraction values for m
i checked in desmos and they look similar
hope this helps and is correct <3