Answer:
1
the equation (x-4)^2-17=8 has two solutions because <u>it is in a quadratic form.</u>
(x-4)^2-17=8
x²-8x+16-17-8=0
x²-8x-9=0
Doing middle term factorization
x²-9x+x-9=0
x(x-9)+1(x-9)=0
(x-9)(x+1)=0
either
<u>x=9</u>
<u>x=9or</u>
<u>x=9orx=-1</u>
2.
x^2+4x+3=0:
Doing middle term factorization
x²+3x+x+3=0
x(x+3)+1(x+3)=0
(x+3)(x+1)=0
either
x=-3
or
x=-1
<u>Josh’s solution is incorrect because he missed x=-3.</u>
<u>3</u><u>.</u>
x^2-6x+7=0
By <u>using</u><u> </u><u>quadratic</u><u> </u><u>equation</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>:</u>
Comparing above equation with ax²+bx+c=0
we get
a=1
b=-6
c=7
Now
we have
x=
x=
x=
x=
Taking positive
<u>x</u>=
taking negative
<u>x</u>=
Answer:
Associative Property
Step-by-step explanation:
- I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).
- Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)
- 8 + 7 + 9
- (8 + 7) + 9
- (8 + 9) + 7
I hope this helps!
-20n-14
-4x5n=-20n
-4x3.5=-14
And that cancels out the plus sign so it will be subtraction.
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=Kx
where
K is the constant of proportionality or slope of the linear equation
In this problem
x ----> is the number of months
y -----> is the total amount savings
we have the ordered pairs
(4,80) and (7,140)
so
Find the value of K
K=y/x
For (4,80)
K=80/4=20
For (7,140)
K=140/7=20
The value of K is the same for both ordered paits
that means------> is a proportional relationship
therefore
the linear equation is
y=20x
the answer is the option A, C and D
