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Rom4ik [11]
4 years ago
6

I have a question: what is 4x-(9) x 103-5x^2= 68-96/2

Mathematics
1 answer:
Gnom [1K]4 years ago
3 0
I cant tell whether the X is a multiplication sign or not, enjoy.Simplifying 4x + -1(9) * 103 + -5x2 = (-14) Multiply -1 * 9 4x + -9 * 103 + -5x2 = (-14) Multiply -9 * 103 4x + -927 + -5x2 = (-14) Reorder the terms: -927 + 4x + -5x2 = (-14) -927 + 4x + -5x2 = -14 Solving -927 + 4x + -5x2 = -14 Solving for variable 'x'. Reorder the terms: -927 + 14 + 4x + -5x2 = -14 + 14 Combine like terms: -927 + 14 = -913 -913 + 4x + -5x2 = -14 + 14 Combine like terms: -14 + 14 = 0 -913 + 4x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 182.6 + -0.8x + x2 = 0 Move the constant term to the right: Add '-182.6' to each side of the equation. 182.6 + -0.8x + -182.6 + x2 = 0 + -182.6 Reorder the terms: 182.6 + -182.6 + -0.8x + x2 = 0 + -182.6 Combine like terms: 182.6 + -182.6 = 0.0 0.0 + -0.8x + x2 = 0 + -182.6 -0.8x + x2 = 0 + -182.6 Combine like terms: 0 + -182.6 = -182.6 -0.8x + x2 = -182.6 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -182.6 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -182.6 + 0.16 Combine like terms: -182.6 + 0.16 = -182.44 0.16 + -0.8x + x2 = -182.44 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -182.44 Can't calculate square root of the right side. The solution to this equation could not be determined
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3 years ago
Rewrite the form In exponential form:<br> Log100 = x
andrey2020 [161]

Answer:

10^x=100

Step-by-step explanation:

You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that 3^2=9; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: \log_3{9}=2, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like \log1000 uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"

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(If we wanted to, we could also solve this: 10^2=100, so \log100=2)

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3 years ago
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vaieri [72.5K]
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

second equation
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then substitute equation 1

x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
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4 years ago
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Answer:

I think the relationship is proportional.

Step-by-step explanation:

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