2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
1 answer:
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Answer:
<em>a</em> = -10 and <em>b</em> = 18.
Step-by-step explanation:
Let <em>w</em> represent the width of the rectangle.
We are given that the perimeter of the rectangle is 20 cm, this means that:
Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:
And solve for <em>w:</em>
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So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.
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According to the Pythagorean Theorem:
<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>
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Simplify and substitute:
Square:
Isolate the equation. So:
Since the leading coefficient is one, divide both sides by two:
Therefore, <em>a</em> = -10 and <em>b</em> = 18.
the first step is multiplication
the second step is collect like terms
third step is division
9514 1404 393
Answer:
-3/4, 3
Step-by-step explanation:
The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.
-4x -3 = 0 ⇒ x = -3/4
x -3 = 0 ⇒ x = 3
The zeros of the function are -3/4 and 3.
