The consecutive integers are 85,86,87
Explanation:
n
:
the first number
n
+
1
:
the second number
n
+
2
:
the third number
n
+
(
n
+
1
)
+
(
n
+
2
)
=
258
3
n
+
3
=
258
3
n
=
258
−
3
3
n
=
255
n
=
255
3
n
=
85
n
+
1
=
85
+
1
=
86
n
+
2
=
85
+
2
=
87
The zeroes of <span>f(x) = x^5-12x^2+32x can be found by factoring,
</span><span>f(x) = x^5-12x^2+32x=(x-8)(x-4)
By the zero product theorem, (x-8)=0 or (x-4)=0 which means
x=8 or x=4.
So the zeroes of f(x) are S={4,8}</span>
Answer:
51.8
Step-by-step explanation:
Multiply 15 by z and -51 which would equal (15z-765).
Add 765 to 12 and that equals 777
Divide 777 by 15 which would equal 51.8
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
