Answer:
A f(x) is a negative number
Step-by-step explanation:
Lets see what happens
f(x) = 1/x
Let x get smaller and smaller from the negative side
x = -1/2
f(-1/2) = 1/ (-1/2) = -2
x = -1/3
f(-1/3) = 1/ (-1/3) = -3
x = -1/10
f(-1/10) = 1/-1/10 = -10
What is happening
As we get closer to zero from the negative side, f(x) gets larger and more negative
1 gallon of milk costs 0.50 more than 5 times a gallon of water.
From that information milk is 5x +0.50 the cost of water.
The cost of milk is $3.75, so now we have:
3.75 = 5x + 0.50
Subtract 0.50 from each side:
3.25 = 5x
Divide both sides by 5:
X = 3.25 / 5
x = 0.65
The cost of water = $0.65
Answer: 90 minutes
Step-by-step explanation:
Area of the side = 15 x 18 = 270 sq. ft.
3 sq. ft take a minute to paint
270 sq. ft. will take 270 / 3
= 90 minutes
Slope intercept form: y= mx +b
Parallel lines= same slope
Find slope of this line first:
2x + 3y =8
Subtract 2x from left side and add it to right side.
3y = -2x + 8
Divide by 3
Y= -2x/3 +8/3
slope= -2x/3
Y= mx + b —-} b is y intercept which is unknown and m is slope
Plug in -2/3x for slope.
Y= -2/3x +b
To find y intercept plug in point (-2, 3)
Y= -2/3x+b
3= -2/3(-2) +b
3 = 4/3+b
3-4/3 =b
5/3 =b
Y= -2/3x +5/3 is new equation
Answer:
Triangles PRQ and MRN are not similar.
Step-by-step explanation:
The two triangles are PRQ and MRN.
It is given that both the triangles have ∠R = 90° as the common angle.
Now, we check whether the ratios of the sides are equal or not.
i.e. To check if
Since, we have the lengths,
PM = 8, MR = 10. Thus, PR = 8 + 10 = 18
QN = 14, NR = 7. Thus, QR = 14 + 7 = 21
So, we get,
implies
implies 1.8 = 3, which is not true.
So, the ratio of the sides are not equal.
Hence, we get that the triangle PRQ and MRN are not similar.