Answer:
-33rs
Step-by-step explanation:
First, distribute in the first part of the equation.
3r(4r-5s)=12r-15rs
Now, distribute in the first part of the equation.
2r(-6r-9s)=-12r-18rs
Combine this together.
12r-15sr-12r-18rs
Combine like terms. (12r and -12r will cancel out to 0.)
-33rs
Hope this helps! Have a wonderful day ^^
Answer:
Step-by-step explanation:
= 
= 
= 10(1 - 0.00037) / 0.1 = 99.96
Answer:
180° - 62° = 118° 118° ÷ 2 = 59°
This is the measure of each of the two base angles.
Step-by-step explanation:
Each face of a given pyramid is an isosceles triangle, with a 62° vertex angle.
Recall that an isosceles triangle has only 1 vertex angle.
- An isosceles triangle is one with 2 equal sides. Recall the Base Angle Theorem which states that in an isosceles triangle, the congruent sides have or produce congruent angles. This results in 2 equal base angles, in the regular case.
- The third angle is the vertex angle.
- To derive base angles from a vertex angle, subtract the value of the vertex angle from 180°. Divide the answer you get by 2. This is the value of each base angle.
- Remember also; the sum of all angles in a triangle must = 180°
180° - 62° = 118° 118° ÷ 2 = 59°
This is the measure of each of the two base angles.
9514 1404 393
Answer:
R80: 12
G150: 54
Best Profit: $582
Step-by-step explanation:
Let x and y represent the numbers of R80 and G150 players, respectively. The constraints of the problem are ...
0 ≤ x ≤ 18 . . . . . a maximum of 18 R80 can be built
0 ≤ y . . . . . . . . . only non-negative numbers can be built
9x +3y ≤ 270 . . . . ounces of plastic used cannot exceed 270
2x +6y ≤ 348 . . . . ounces of metal used cannot exceed 348
The objective is to maximize the profit function ...
P(x, y) = 8x +9y
The attached graph shows profit is a maximum of $582 per week when 12 R80 players and 54 G150 players are produced.
_____
Since the maximum profit is at a value of x less than 18, we didn't bother to graph that constraint.
The first step in rewriting the function in a vertex form is (a) -4 must be factored from -4x² + 2x
<h3>How to determine the first step?</h3>
The equation is given as:
y = -4x² + 2x - 7
Factor out -4 from the first two terms of the equation
y = -4(x² + 0.5x) - 7
The above means that the first step in rewriting the function in a vertex form is (a) -4 must be factored from -4x² + 2x
Read more about vertex forms at:
brainly.com/question/18797214
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