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Lubov Fominskaja [6]
4 years ago
6

Write the quadratic function c(x)=x^2+6x+14 in vertex form

Mathematics
1 answer:
sergiy2304 [10]4 years ago
4 0

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

c(x)=x^2 + 6x + 14 = x^2+6x+9 + 5 = (x+3)^2+5

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One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a
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Answer: P=0.975^t


Step-by-step explanation:

We know that the general form of the exponential decay formula is


y=A(1-r)^t, where y is final amount remaining after t time, A is the original amount and r is the rate of decay


Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}

Hence, the ratio of remaining since the nuclear accident is P=0.975^t

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Three out of five students said math was their favorite subject. What percentage of students preferred math?
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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal
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y-2=3(x-3)

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We want to write the equation of a line in point-slope form.

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Simora [160]

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. We use the two given points to find the slope.

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Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

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