The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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Answer:
The factors of x^2+3x-4 are (x-1)(x+4) ....
Step-by-step explanation:
We have to find the factors of x^2+3x-4
As we know that this is a quadratic equation.
So we have to find the roots first.
The roots are -1 and 4.
Now completing the quadratic formula using the roots we have :
x^2+4x-x-4
Make a pair of first two terms and last two terms:
(x^2+4x)-(x+4)
Now take out the common from each pair:
x(x+4)-1(x+4)
(x-1)(x+4)
Thus the factors of x^2+3x-4 are (x-1)(x+4) ....
STEP 1:
Find percentage. 57 out of 100 is the percentage to multiply by.
57/100= 0.57 (= 57%)
STEP 2:
Multiply percentage by the total gallons ordered (24).
=24 gallons * 0.57
=13.68 gallons
ALTERNATIVE METHOD (use which works best for you)
Set up a proportion. 57 to 100 is x out of 24 gallons.
x= number skim gallons to order
57/100= x/24
cross multiply
(57*24)= (100*x)
1368= 100x
divide both sides by 100
13.68 gallons= x
ANSWER: Since you cannot order a partial gallon of milk, round up to 14 whole gallons
Hope this helps! :)
Value of x is 10
Step-by-step explanation:
- Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.
cos 28° = adjacent side/hypotenuse = 11/x
⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)
Answer:
y = 1x + 54
Step-by-step explanation:
