Answer:
<h2>
y = 6x - 1</h2>
Step-by-step explanation:
(0, -1) ⇒ x₁ = 0, y₁ = -1
(1, 5) ⇒ x₂ = 1, y₂ = 5
So the slope:
The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.
(0, -1) ⇒ x₀ = 0, y₀ = -1 ⇒ b = -1
Therefore:
y = 6x - 1 ← the slope-intercept form of the equation
Answer:
12
Step-by-step explanation:
if you multiply everything by 5, then you can get rid of the fraction and the equation would now look like this:
x - 40 = 20
and now you can answer this simply
x - 40 = 20
+40 +40
x = 60
and since you multiplied 5 beforehand, now you have to divide by 5 to get the real answer
60 ÷ 5 = 12
therefore, x = 12
Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
To find this answer, we should subtract 2 1/2 from 3 1/4. The simplest way to do this is to turn them into improper fractions, found the least common denominator, and subtract the numerators.
3 1/4=13/4
2 1/2=5/2
The least common multiple is 4, so we should multiply the numerator and denominator of 5/2 by 2.
5/2=10/4
Now we can just subtract the numerators.
13/4-10/4=3/4
Using the math above, we can see that it saves D. 3/4 hours.
