It's the third graph, the one where the absolute function is opening downwards
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Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
The correct answer is: [A]: " 384 in² " .
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Explanation:
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The formula for the surface area of a cube is:
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→ A = 6a² ;
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A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;
a = side length = " 8 in " (given);
→ Note: A cube has all equal side lengths.
→ The "6" in the formula accounts for "6 sides" of a cube.
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→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
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→ A = 6 a² ;
= 6 * (8 in)² ;
= 6 * 8² * in² ;
= 6 * 8 * 8 * in² ;
= 48 * 8 * in² ;
= 384 in² ;
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The answer is: " 384 in² " ;
→ which is: Answer choice: [A]: " 384 in² " .
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Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
Plug in -3 for x and you get -21=-6+3k which you can further solve to be 3k=-27 and so k must be -9
