Answer:
Slope= 3/11
Step-by-step explanation:
Slope formula= ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Use the points (-8, 2) and (3,5)
=
= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Slope= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Use point-slope to find the equation
y-y1=m(x-x1)
*Use the slope (previously found) as m, and (3,5) as your point (x,y)*
y-5=
(x-3)
y-5=
x-3![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
+5 +5
y=
x+2![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Answer:
![\boxed{\sf{x=\dfrac{25}{2}=12.5}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%7Bx%3D%5Cdfrac%7B25%7D%7B2%7D%3D12.5%7D%7D)
Step-by-step explanation:
Solve the logarithm function.
Put the logarithm function on one side of the equation and x on the other.
<h3>log x + log8=2</h3>
![\sf{\log _{10}(x)+\log _{10}(8)=2}](https://tex.z-dn.net/?f=%5Csf%7B%5Clog%20_%7B10%7D%28x%29%2B%5Clog%20_%7B10%7D%288%29%3D2%7D)
<u>First, subtract by log₁₀(8) from both sides.</u>
![\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}](https://tex.z-dn.net/?f=%5Csf%7B%5Clog%20_%7B10%7D%28x%29%2B%5Clog%20_%7B10%7D%288%29-%5Clog%20_%7B10%7D%288%29%3D2-%5Clog%20_%7B10%7D%288%29%7D)
<u>Solve.</u>
![\sf{\log _{10}(x)=2-\log _{10}(8)}](https://tex.z-dn.net/?f=%5Csf%7B%5Clog%20_%7B10%7D%28x%29%3D2-%5Clog%20_%7B10%7D%288%29%7D)
![\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}](https://tex.z-dn.net/?f=%5Csf%7B%5Clog%20_%7B10%7D%28x%29%3D2-%5Clog%20_%7B10%7D%288%29%3D%5Cboxed%7B%5Csf%7Bx%3D%5Cdfrac%7B25%7D%7B2%7D%20%7D%7D)
- <u>Therefore, the correct answer is x=25/2=12.5.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
sequence of five intervals
(1) 3³ <
< ![3^{4}](https://tex.z-dn.net/?f=3%5E%7B4%7D)
(2)
<
< ![3^{3.2}](https://tex.z-dn.net/?f=3%5E%7B3.2%7D)
(3)
<
< ![3^{3.17}](https://tex.z-dn.net/?f=3%5E%7B3.17%7D)
(4)
<
< ![3^{3.163}](https://tex.z-dn.net/?f=3%5E%7B3.163%7D)
(5)
<
< ![3^{3.1623}](https://tex.z-dn.net/?f=3%5E%7B3.1623%7D)
Step-by-step explanation:
as per question given data
√10 ≈ 3.162 277 7
to find out
sequence of five intervals
solution
as we have given that √10 value that is here
√10 ≈ 3.162 277 7 ........................1
so
when we find
................2
put here √10 value in equation number 2
we get
that is 32.27
so
sequence of five intervals
(1) 3³ <
< ![3^{4}](https://tex.z-dn.net/?f=3%5E%7B4%7D)
(2)
<
< ![3^{3.2}](https://tex.z-dn.net/?f=3%5E%7B3.2%7D)
(3)
<
< ![3^{3.17}](https://tex.z-dn.net/?f=3%5E%7B3.17%7D)
(4)
<
< ![3^{3.163}](https://tex.z-dn.net/?f=3%5E%7B3.163%7D)
(5)
<
< ![3^{3.1623}](https://tex.z-dn.net/?f=3%5E%7B3.1623%7D)
Answer:
21.875
Step-by-step explanation:
you do 175 divided by 8