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Ivanshal [37]
3 years ago
8

Use the number line given to choose the best answer for the question. What value does point P represent on the number line shown

below?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Its -3



Mark me brainliest now :3

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Beatrice makes a jar of dry soup mix. The ingredients are:
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Which of the following best describes perpendicular lines
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How many and what type of solutions does the equation have?
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Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0

As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81

Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2

So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2

A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.

3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.

So 2k^2 = 9 + 3k have two rational solutions (Option B).

Hope this Helps! :)
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The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.
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<span>the tens digit = n
</span><span>the units digit = n-5

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the units digit = n-5 = 7 - 5 = 2

<span>the number is 72</span>
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