Answer:
x=1
Step-by-step explanation:
-5x-16=-10x-11
+10x +10x
5x-16=-11
+16 +16
5x=5
5x/5 = 5/5
x=1
Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
Answer:
The constant of proportionality is 0.59
Step-by-step explanation:
5 bananas cost 2.95.
Cost of each banner = 2.95/5
= 0.59
The equation
y=0.59x
Where,
y = cost
x= number of bananas
The constant of proportionality is 0.59
to show the proportional relationship between the cost and number of bananas.
Answer:
y = 5x -3
Step-by-step explanation:
y = mx + b
b is the y intercept, so you can replace b with -3
m is the slope so you can replace m with 5
and you get your answer y = 5x - 3
9514 1404 393
Answer:
7
Step-by-step explanation:
A number with its most significant digit in the ten-millions place will have 7 as the exponent of 10 when it is written in scientific notation.
