Answer:
none of the answer above
the answer is X < -1/4
Step-by-step explanation:
7x-3x<1-2
4x<-1
x<-1/4
Answer: the original price of the skirt is $24
Step-by-step explanation:
Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)
Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is
0.75(x + 18)
Applying the distributive property, it becomes
0.75x + 13.5
Jade pays a total of 31.50 for the two items. It means that
0.75x + 13.5 = 31.5
0.75x = 31.5 - 13.5
0.75x = 18
x = 18/0.75
x = $24
The answer is X.
In order for it to be a function, there should be only one y-value for every x-value. Graph x is the only one that obeys this rule, therefore it is the answer
Answer:
7) 230mm
8) 98m
Step-by-step explanation:
7)
7x+8+6x+6+9x-4 =22x+10
if x is 10 mm, 22(10)+10 =230mm
8) perimeter of rec =2( l + w )
=2 ( 2x-5+2x+6 ) = 8x + 2
if x is 12 metres, 8(12)+2 =98m
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
