Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3
Answer:
Step-by-step explanation:
Remark
Interesting detail.
Origami Paper is square -- perfectly.
So the properties listed will be related to a square.
Givens
Area = 35 in^2
Formulas
Area = s^2 where s is the length of 1 side.
Perimeter = 4s
Solution
<u>Area = s^2 = 35</u>
s^2 = 35 Take the square root of both sides.
√s^2 = √35
s = 5.91
<u>Perimeter = 4s</u>
s = 5.91
Perimeter = 4*5.91
Perimeter = 23.66
The way the question is worded, the answer you should submit is
Perimeter = 4 * √35
Answer:
A
Step-by-step explanation:
The figure has two disjoint pairs of consecutive sides which are congruent.
Thus the figure is a Kite
Using the properties of a Kite
• The diagonals are perpendicular
• The main diagonal diagonal bisects the pair of opposite angles
Hence ∠1 = 90° ( diagonals are perpendicular )
The angle 22° is a bisected angle so the angle below is also 22°
The sum of the 3 angles in a triangle = 180°, hence
∠2 = 180° - (90 + 22)° = 180° - 112° = 68°
The solution is A
Answer:
She will need 3.5 pounds of cheese to make the 28 casseroles
Step-by-step explanation:
In this question, we are tasked with calculating the amount of cheese in pounds needed to make 28 casseroles.
In the revised recipe, she intends using 1/2 of what is supposed to be used in the original recipe. Mathematically, since each original casseroles is meant to take 4 ounces of cheese, the revised recipe taking half will have 1/2 × 4 = 2 ounces of cheese per casserole
Now for 28 casseroles based on the revised recipe, the total amount of cheese to be used mathematically is equal to 28 × 2 = 56 ounces of casserole
The questions asks that our answer be in pounds
Mathematically, 1 ounce = 0.0625 pounds
Hence, 56 ounces of casseroles will be 56 × 0.0625 = 3.5 pounds of cheese
Answer:
9/12
Step-by-step explanation:
because I is the biggest number