Answer:
Option D In step 4 Keith should have subtracted 5 from each side
Step-by-step explanation:
step 1
we have
f(x)=7x+5 -----> given
step 1 is correct
step 2
Change f(x) to y
y=7x+5
so
step 2 is correct
step 3
Exchange x for y and y for x
x=7y+5
so
step 3 is correct
step 4
Subtract 5 each side
x-5=7y+5-5
x-5=7y
<u><em>step 4 is not correct</em></u>
step 5
Divide by 7 each side
(x-5)/7=y
step 6
Change y to g(x)
(x-5)/7=g(x)
step 7
switch sides of the equation
g(x)=(x-5)/7
therefore
In step 4 Keith should have subtracted 5 from each side
Find
![a_{1}](https://tex.z-dn.net/?f=%20a_%7B1%7D%20)
by plugging in 1 into n:
![a_{1} = 98-2(1)=96](https://tex.z-dn.net/?f=%20a_%7B1%7D%20%3D%2098-2%281%29%3D96)
Find
![a_{11](https://tex.z-dn.net/?f=%20a_%7B11%20)
by plugging in 11 into n:
![a_{11} = 98-2(11)](https://tex.z-dn.net/?f=%20a_%7B11%7D%20%3D%2098-2%2811%29)
![a_{1} =98-22=76](https://tex.z-dn.net/?f=%20a_%7B1%7D%20%3D98-22%3D76)
Now to find the sum your formula is:
![S_{n} = \frac{n}{2} ( a_{1} + a_{n})](https://tex.z-dn.net/?f=%20S_%7Bn%7D%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%28%20a_%7B1%7D%20%2B%20a_%7Bn%7D%29%20)
![n = 11, a_{1} = 96 , a_{11} =76](https://tex.z-dn.net/?f=%20n%20%3D%2011%2C%20%20%20a_%7B1%7D%20%3D%2096%20%2C%20%20a_%7B11%7D%20%3D76)
Now plug that into the formula
![S_{11} = \frac{11}{2} (96+76)](https://tex.z-dn.net/?f=%20S_%7B11%7D%20%3D%20%5Cfrac%7B11%7D%7B2%7D%20%2896%2B76%29)
![S_{11} = 5.5(172)=946](https://tex.z-dn.net/?f=%20S_%7B11%7D%20%3D%205.5%28172%29%3D946)
Hope that helps
Answer:
- Reduction of Gasoline Consumption
- Increase in Miles Per Gallon by 3.
Step-by-step explanation:
Previous Rate of Gasoline Consumption = 15 miles per gallon
Rate of Gasoline consumption after Tune Up = 18 miles per gallon
The difference in Gasoline Consumption = 18-15 =3 miles per gallon
Since the difference is positive, Lisa noticed she got 3 extra miles for every gallon of gasoline. That is, her gasoline consumption reduced.
Answer:
The probability is 5/11
Step-by-step explanation:
Let's call V the event that the letter taken at random is a vowel.
Let's call E the event that the man is English and A to the event that the man is American.
If 40 percent of the English-speaking men at the hotel are English means P(E)=0.40 and 60 percent are Americans means P(A)=0.60
In ''color'' we have 2 vowels out of 5 letters so P(V/A)=2/5
In ''colour'' we have 3 vowels out of 6 letters so P(V/E)=3/6=1/2
P(E/V)=P(E∩ V)/P(V)
P(V)=P(V|E)P(E) +P(V|A)P(A)
P(V)=(1/2)0.40+(2/5)0.60=0.44
P(E∩V)=P(V|E)P(E)=(1/2)0.40=0.20
P(E/V)=0.20/0.44=0.45454545=5/11
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: The second integer is smaller
x = 161
Explanation:
2x + 7 + x= 490
3x + 7 = 490
x = 161
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆