Answer:
3. 2x+18=4x+26
Step-by-step explanation:
2(x+9)=4(x+7)+2
2x+18=4x+28+2
2x+18=4x+<u>3</u><u>0</u>
<em><u>The</u></em><em><u> </u></em><em><u>step</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>an</u></em><em><u> </u></em><em><u>error</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>solving</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>linear</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>step</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>
Hope this helps ;) ❤❤❤
Answer:
The second function represents an even function; 
Step-by-step explanation:
A function f(x) is said to be even if f(x) = f(-x). All we need to do is replace x with -x in each equation, simplify it and assess whether the equation remains unchanged. If the equation is identical to the original one then it is said to be even. Another good example of an even function is the cosine function. Moreover, even functions have y-axis symmetry
Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
#4 is actually f(x) + 18. #5 is f(x) + 201, #5 is f(x) + 316.
