Answer:
1x+ 1y =11
10x + 5y = 80
x = the cost of a taco = $5
y = the cost of a burrito = $6
Step-by-step explanation:
x = the cost of a taco
y = the cost of a burrito
1x+ 1y =11
10x + 5y = 80
rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:
10x + 5( 11-x) = 80 distribute left side
10x + 55 - 5x = 80 combine like terms
10x - 5x = 5x
5x + 55 = 80 subtract 55 from both sides
5x = 80 - 55
5x = 25 divide by 5
x = 5
plug in for y in 1st equation y = 11--x =11-5 = 6
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:
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Step-by-step explanation:
Step-by-step explanation:
1. 3x>18
2. 3x/3>18/3
3. x>6
Now you can find the answer with the help of the graph below.
Answer:
Step-by-step explanation:
<u>Given</u>
To find f(q+1),
<u>substitute x with q+1 in the given equation:</u>
- f(q + 1) = 6(q + 1) + 7 = 6q + 6 + 7 = 6q + 13
