Answer:
odd numbers
Step-by-step explanation:
Answer:
The answer is the fourth graph
Step-by-step explanation:
f(x) = 2x + 5 ⇒ x < 0
Represented by line its slope is 3 and its y-intercept 5
f(x) = 5 ⇒ 0 ≤ x ≤ 10
Represented by horizontal line at y = 5 from x = 0 to x = 10 with black circle on the point because x = 10
f(x) = 2x - 10 ⇒ x > 10
Represented by line its slope is 2 and start from y = 10 at x = 10 with empty circle on the point because x ≠ 10
There are various ways to solve this. I will solve by elimination which seems easier:
I multiply the top equation by 1/2 to get 1/4y so I can eliminate y:
-3x/8 + 1y/4 = -1 Now add the second equation:
1x/5 - 1y/4 = -6 This gives:
------------------------------------
-3x/8 + 1x/5 = -7 Get a common denominator:
-15x/40 + 8x/40 = -7 Now add fractions:
-7x/40 = -7 Multiply by the reciprocal(-40/7):
x = 7 × 40 / 7 Simplify:
x = 40.
Now plug in 40 for x in one of the equations and solve for y (2nd equation looks easier):
1(40)/5 - 1y/4 = -6
8 - y/4 = -6 subtract 8
-y/4 = -14 multiply by 4
-y = -56
y = 56.
So we got x=40 and y=(56) new lets check!
-3(40)/4 + (56)/2 = -2
-3(10) + 28 = -2
-30 + 28 = -2
-2 = -2.
Answer:
Write an equation to model the given context. Give your answer in simplest form.
The total for a pair of socks with a 15% sales tax.
The original price of an item less a discount of 5%.
Step-by-step explanation:
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