-26n -22= n - 90
-26 times a number: -26n
minus 22: -22
equal: =
90 less than a number: n - 90
Solving the Equation:
Move n to the left side of the equal sign (which becomes -n) in order to combine like terms:
-26n-n-22= -90
Move -22 to the right side of the equal sign which becomes +22
-26n-n=-90+22
solve both sides; -26n-n= -27n and -90+ 22= -78
-27n=-78
n= 2.888888
<h2>|| <u>Question</u> ||</h2>
John purchased 24 chocolates for Rs.96. How many chocolates can be purchased for Rs.72?
<h2>|| <u>Answer</u> ||</h2>
John purchased 24 chocolates = Rs.96.
Chocolates can be purchased for Rs.72 = x
<h3>

</h3>
24:96 = x:72
Means = Extreams
96 × x = 24 × 72
<h3>

</h3>
( 12 × 2 = 24, 12 × 8 = 96 )
<h3>

</h3>
(8 × 1 = 8, 8 × 9 = 72)
<h3>

</h3><h3>

</h3><h3>

</h3>
Therefore, 18 chocolates can be purchased for Rs.72
Answer:
This is a fourth-degree polynomial
X-intercepts are - 5, -5, 3, and -3
The Y-intercept is 225
Step-by-step explanation:
Since it's already in the factored form you can find the zeros by separating each binomial and solving for x
x
2
−
25
=
0
x
2
=
25
x
=
±
5
x
2
−
9
=
0
x
2
=
9
x
=
±
3
so
x
=
±
5
,
±
3
To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form
f
(
x
)
=
(
x
2
−
25
)
(
x
2
−
9
)
f
(
x
)
=
x
4
−
9
x
2
−
25
x
2
+
225
f
(
x
)
=
x
4
−
34
x
2
+
225
The degree of a polynomial is just the leading coefficients power which is 4 in this equation
In order to find the y-intercept we just need to allow
x
=
0
because that is when any equation will cross the y-axis
f
(
x
)
=
0
4
−
34
(
0
)
2
+
225
f
(
x
)
=
225
Anything Multiplied by 0 will be 0
Answer:
-6 and -6
Step-by-step explanation:
-6+(-6)=-12
-6x-6=36