Answer:
AB=29; BC=27
Step-by-step explanation:
So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.
So you would write it as such,,
4x+9+5x+2=56
Combine like terms
9x+11=56
Now you have to isolate the x by itself but first get rid of the 11.
9x+11-11=56-11
You would get
9x=45
Here you can divide 9 by both sides to isolate x.
9x/9=45/9
{x=5}
Now to find the value for both substitue x in the equations for both
1. AB=4x+9 where x is 5
4(5)+9 =AB
20+9 =AB
29=AB
You would do the same with BC
2. BC= 5x+2 where x is 5
5(5)+2= BC
25+2= BC
27=BC
If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC
Multiply the length by the width and your answer will be there.
Hello,
f(x)=2x²+1
f(ax+b)=2(ax+b)²+1=2(a²x²+2abx+b²)+1=2a²x²+4abx+2b²+1
af(x)+b=a(2x²+1)+b=2ax²+a+b
And f(ax+b)≠af(x)+b not linear
Answer:
7
Step-by-step explanation:
"a certain whole number" is a number that we don't know, so pick a variable, let's use n
"Twice" means two times, so we'll use 2n for this.
"subtracted from" means the 2n will be AFTER the minus sign.
____ - 2n
What goes in front? "3 times the square of the number" 3n^2
Now we have 3n^2 - 2n
Lastly, we see the result is 133. So this gives us:
3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.
3n^2 -2n - 133 = 0 Next FACTOR.
(3n + 19)(n - 7) = 0
3n+19=0 and n-7=0
n=-19/3 and n=7
Since we are looking for a whole number choose n=7
Someone is answering the question.
