Start by combining LIKE-TERMS. 13b AND 23 are LIKE-TERMS because they have the same variable (B) and numbers. Remember PEMDAS OR Please Excuse My Dear Aunt Sally. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There is also FOIL (First, Inside, Outside, Last). Because we will start with Parenthesis(Use the FOIL method because the 56 is part of the parentheses) first, (-56 x b[first part of the set]) = -56b THEN (-56 x [+ {always carry the sign, this shows that it is positive}]1) = -56
Now we have 13b+23b -56b-56
=36b -56b -56
= -20b - 56
This is your final equation because THESE ARE NOT LIKE-TERMS, therefore, they CANNOT be combined
Hint:
Ax+By+C= D
is parallel to
Ax+By+C= E
So in this case,
2x−9y+4z=5
is parallel to
2x−9y+4z=k
for any real number k
Answer:
Step-by-step explanation:
y intercept occurs when x = 0
here it is -36.
As the last number is -36, 6 may be a x intercept here
f(x) = 6^3 - 11*36 - 36*6 - 16 - 0 so x = 6 is a x-intercept ( zero) of this graph.
Dividing the function by (x - 6) gives x^2 - 5x + 6
which = (x - 2)(x - 3) so the other 2 zeroes are 2 and 3.
The coefficient of x^3 is positive so the curve will rise from the left passing through y = - 36 and forming 2 turning points, cutting the x axis at x = 2, 3 and 6 and will rise to the right. There will be a local maximum between x = 2 and x = 3 and a local minimum between x = 3 and x = 6.
Answer: -22
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
m = 1
n = -3 (2) = -6
<u>Given expression</u>
2m - 4n (3m - 4)
<u>Substitute values into the expression</u>
=2(1) - 4(-6) (3(1) - 4)
<u />
<u>Simplify by multiplication</u>
=2 + 24 (3 - 4)
<u />
<u>Simplify values in the parentheses</u>
=2 + 24 (-1)
<u>Simplify by multiplication</u>
=2 - 24
<u>Simplify by subtraction</u>
=
Hope this helps!! :)
Please let me know if you have any questions
X = amount of 90% alloy
y = amount of 70% alloy
x + y = 60
0.9x + 0.7y = 0.85*60
0.9x + 0.7(60 - x) = 0.85*60
(0.9 - 0.7)x = (0.85 - 0.7)*60
x = (0.85 - 0.7)*60/(0.9 - 0.7)
x = 45 ounces
y = 60 - 45
y = 15 ounces