To write and equation we call y=oil and x=vinager, so:
To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:
So, the equation is:
Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.
575 / 5 = 115
Dora has saved $115 per month.
So when x = -1, you just substitute the variable x to -1.
"4x" means 4 times x, so when x is replaced to -1, that would be 4 times -1.
f(-1) = 4(-1) = -4
So the value of function at x = -1 would be -4.
Hope this helps.
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
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<em>Alternate solutions</em>
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
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Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
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If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
Answer: 862
Step-by-step explanation:
A deductible refers to the amount of money that one will have to pay himself or herself toward an insured loss.
It should be noted that when a disaster occurs, the amount of the deductible will be subtracted from the loss. Since the loss is 1612 and the deductible is 750, the insurance company will pay:
= 1612 - 750
= 862
