Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
If there are 245 total preschoolers, there will be 105 boys.
- What is unitary method?
- The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
- Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
- Recognizing the units and values is crucial when using the unitary technique to a problem.
- Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
acc to our question-
- Fraction of boys = 3/7
- Fraction of girls = 4/7
- Total number of students = 245
- The number of boys will be:
- = 3/7 × 245.
- = 105 boys
Therefore, there are 105 boys in the school.
learn more about unitary method click here:
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Answer:
Step-by-step explanation:
The basic cost of the Snout is 45.99
15% of that amount = 45.99*15/100 = <u> 6.90</u>
Total Cost 52.89
You could figure out the total cost a slightly different way.
You could set up
Cost = snout (1 + 15%)
Cost = snout(1 + 15/100)
Cost = snout( 1 + 0.15)
Cost = 45.99(1.15)
Cost = 52.89
Answer:
1. A
2. B
3. A
Step-by-step explanation:
Hope this helps!
I believe the points should be as follows : X, S, Y, and U.