Answer: 9;0;-3
Step-by-step explanation:
<span><span>4(1-2x)= 3(3-y)-12
4-8x=9-3y-12
-8x+3y=9-12-4
-8x+3y=-7
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2(3x-1)-(y+4)= -7
6x-2-y-4=-7
6x-y=-7+2+4
6x-y=-1 multiply by 3 & add
18x-3y=-3
-8x+3y=-7
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10x=-10
x=-10/10
x=-1 ans.
4(1-2*-1)=3(3-y)-12
4(1+2)=9-3y-12
4*3=-3-3y
12=-3-3y
3y=-3-12
3y=-15
y=-15/3
y=-5
Proof:
2(3*-1-1)-(-5+4)=-7
2(-3-1)-(-1)=-7
2*-4+1=-7
-8+1=-7
-7=-7
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Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
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<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
Using 2 + .025x, the 2 represents the fixed rental rate per book, and 0.25 is the late fee per day
<u>Answer:</u>
x = 7.5 km/h
<u>Step-by-step explanation:</u>
• First calculate the distance covered by walking at 3 km/h for 45 minutes ( 0.75 h):
distance = speed × time
= 3 × 0.75
= 2.25 km
• Therefore, she covered 2.25 km of the total journey by walking. Since she was 6 km from the starting point at the end of the entire journey, we can calculate the distance remaining, which she had to run:
distance she had to run = 6 - 2.25
= 3.75 km
• Now we can calculate the speed of the 30 minute (0.5 h) run:
speed = distance ÷ time
= 3.75 ÷ 0.5
= 7.5 km/h
This means that she ran at 7.5 km/h for half an hour.
∴ x = 7.5
