Answer:
D. Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
yes because both line have a slope of .857/2
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yes; both have a slope of 3/7
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Yes. They have the same slope.
Answer:
b)$18
Step-by-step explanation:
The break even point is when the revenue is equal to the cost.
Revenue:
How much the store earns for each shirt.
We want to find the price of each shirt, and 50 shirts will be made.
So the revenue function is:
In which p is the price.
Costs:
A clothing store spends $10 for each shirt it produces and has fixed costs of $400.
So for 50 shirts:
400 + 50*10 = 900
Breakeven
Revenue equals cost
50p = 900
p = 900/50
p = 18
So the correct answer is:
b)$18
Answer:
3y+1
Step-by-step explanation:
4y+3-y-2
3y+3-2
3y+1
Answer:
y = 2x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
