Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Answer: Range is a set/group of y-value points of a function. If/when the dot is filled in, the number is included in the set. This is signified by a bracket []. If/when the dot is not filled in, the number is not included in the set. This is signified by a parentheses (). The range of this graph is [4,-9).
:)
Answer:
x = -13
Step-by-step explanation:
-5x+3=68
Subtract 3 from each side
-5x+3-3=68-3
-5x = 65
Divide each side by -5
-5x/-5 = 65/-5
x = -13
ANSWER
The graph in option D.
EXPLANATION
The given function is:
We complete the square to obtain:
The graph of this function opens upwards and has its vertex at (2,-2).
The y-intercept is 10.
From the options the graph that satisfies all these properties is D.
