<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
2x - y = 7
y = 2x - 7 this line has slope = 2
Perpendicular lines, slope is opposite and reciprocal so slope = -1/2
Answer
A . -1/2
The zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
<h3>How to determine the zeros of the function?</h3>
The function is given as:
f(x) = x^3 + 3x^2 + 2x
Factor out x in the above function
f(x) = x(x^2 + 3x + 2)
Set the function to 0
x(x^2 + 3x + 2) = 0
Factorize the expression in the bracket
x(x + 1)(x + 2) = 0
Split the expression
x = 0, x + 1 = 0 and x + 2 = 0
Solve for x
x = 0, x = -1 and x = -2
Hence, the zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
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