Answer:
y = 3x + 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)
m = 
= 
= 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 6, 0), then
0 = - 18 + c ⇒ c = 0 + 18 = 18
y = 3x + 18 ← equation of line
4.a) 2x=7*3
2x=21
x=21/2 OR
x=10.5
4.b)5x=25*6
5x=150
x=150/5
x=30
4.c)4x=5*14
4x=70
x= 70/4
x=17.5
4.d)4x=9*3
4x=27
X=27/4
X=6.75
4.e)x=0.05*3
X=0.15
4.f)x=0.25*7
X=1.75
4.g)x=0.4*1.5
X=0.6
4.h)x=0.7*2.2
X=1.54
5a)x/7=7-3
X/7=4
X=4*7
X=28
B)2x/5=3+8
2x/5=11
2x=11*5
2x=55
X=55/2
X=27.5
C)2x/3=74-26
2x/3=48
2x=48*3
2x=144
X=72
(I can’t finish all but it is the same method )
Answer:
12 cups.
Step-by-step explanation:
Let x be the total cups of strawberries picked by Margo.
We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.
We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:
Let us multiply both sides of our equation by 3.
Let us divide both sides of our equation by 2.
Therefore, Margo picked 12 cups of strawberries.
18 & 18. I like it.
The square root of a natural number won't be rational unless the number is a perfect square. So not a and not b but yes to C.
For d, -0.125374..., we can't really tell. The three dots tells us it goes on. There's no indication of a repeat but we can't assume it doesn't repeat either. For d the correct answer is cannot be determined.
OK, onto 18.
The square root of 12 is irrational so has a nonterminating, nonrepeating decimal expansion.
7/8 has a finite decimal expansion, 0.875. When the reduced denominator doesn't have any prime factors besides 2 and 5 we'll get a finite decimal expansion. Answer: b
5/11 has 11 as a factor in the denominator, so is an infinite repeating decimal.
I'll guess there's three dots after 0.81818181 so that one doesn't terminate either.
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Bonus
0.21 rational, equal to 21/100
3/12 rational, it's the ratio of integers
√12 - 2 is irrational because of the √12
4.125... can't really tell because the ... may hide a repeating or nonrepeating part.
