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Yuri [45]
3 years ago
10

Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the

states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}

x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)}

x = \frac{-1 \pm 23}{2}

x_1 = \frac{-1 + 23}{2}

x_1 = 11

x_2 = \frac{-1 - 23}{2}

x_2 = -12

The negative solution has no sense in the context of our problem, then the solution is x = 11.

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Step-by-step explanation:

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2 years ago
Dave’s dog is one decade two years nine months three days old. Davis is half as old as his dog. How old is Dave?
Stells [14]

Answer:

Dave is 6 years 4months 16 days 12 hours old

Step-by-step explanation:

Age of Dave Dog = 10year( 1 decade)+ 9 months+3 days

Age of Dave=

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8 0
3 years ago
Will mark Brainliest. In two or more complete sentences, explain how to solve the cube root equation, ∛x-1+3=0.
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∛x-1+3 = 0

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Now  cube both sides to give x - 1 = -27. Add 1 to both sides to find x, which is -26.

8 0
3 years ago
Solve for x: −2x + 5 &lt; 7 (1 point) <br> x &gt; −1 <br> x &lt; −1 <br> x &gt; −6 <br> x &lt; −6
docker41 [41]

Answer:

x < −1

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2 years ago
Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate
Ipatiy [6.2K]

Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

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2 years ago
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