In order to answer, you need to sketch the given exponential curves and straight lines and ask yourself if and when do they cross each other:
a) 2ˣ + 1 is an esponential curve with base >1 shifted up by 1;
-3x + 6 is a straight line with negative slope, shifted up by 6;
They cross each others only one time.
b) 3ˣ - 3 is <span>an esponential curve with base >1 shifted down by three, thus it can be negative;
2x - 2 is </span><span> a straight line with positive slope shifted down by 2;
They cross each others twice.
c) -4</span>ˣ - 1 is <span>an esponential curve with base >1 flipped over the x axis and shifted down by 1;
3</span>⁻ˣ - 2 is an esponential curve with base <1 ( 3⁻ˣ = (1/3)ˣ )and shifted down by 2;
They never cross each others.
Therefore the correct rder is:
-4ˣ - 1 = 3⁻<span>ˣ - 2
</span>-3x + 6 = 2<span>ˣ + 1
</span>3<span>ˣ - 3 = 2x - 2</span>
Answer:
19.5
Step-by-step explanation:
BY THE SECANT/TANGENT SEGMENT LENGTH THEOREM
= 10 x (28 + 10) = 10 x 38 = 3819.50
x = square root of 380 = <u>19.49358869 (approximately 19.5)</u>
<u>OPTION A</u>
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<u><em>***SECANT/TANGENT SEGMENT LENGTH THEOREM
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<u><em>If a secant and tangent are drawn from a common exterior point, then the
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<u><em>product of the length of the secant with the length of its external
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<u><em>segment is equal to the square of the length of the tangent.</em></u>
Answer:
32 tickets.
Step-by-step explanation:
First, 1/3 of 48 is 16. So 48-16= 32. Usually, people think the remaining half is half of 48, but it's supposed to be half of 32. So half of 32 is 16. So Kacey used 32 tickets for those 2 games.
An incident at the Gulf of Tonkin, off the eastern coast of Vietnam, became the justification for increasing the level of U.S. involvement in the warin Vietnam during the Johnson administration. The United sates of America wanted the rebels to sign a peace agreement and end the war. I hope the answer has come to your help.