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Aleks04 [339]
3 years ago
13

What are the x-intercepts of the quadratic function? f(x)=x^2+6x−27

Mathematics
2 answers:
masha68 [24]3 years ago
6 0
The x intercepts for this quadratic function is X = 3, and -9
Rasek [7]3 years ago
4 0
The x-intercepts are -9 and +3. What two number multiply to -27 but at to +6? +9 and -3. When you put x-9=0 and x+3=0, they both change their signs so what was +9 is not -9 and what was +3 was -3. I hope this helps you!
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nadya68 [22]
Answer: A
Explaination:
5 0
2 years ago
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Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12
tiny-mole [99]

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12

5 0
2 years ago
The amount of sports drink in a cooler during practice is modeled by the equation
Alex777 [14]

Answer:

10

Step-by-step explanation:

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2 years ago
Three national news networks are trying to estimate what percentage of
kolezko [41]

Answer:

  • <u>Option C. The Network C sample.</u>

Explanation:

The variability of a sample may be described by using some common statistics like the variance and the standard deviation.

The variance and the standard deviation measure the difference between the values of the data  and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.

Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.

That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.

Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.

3 0
3 years ago
Read 2 more answers
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
SIZIF [17.4K]

Answer:

mean=12

Step-by-step explanation:

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5, 7, 12, 12, 16, 17, 17

Then add them all up.  

It is a sum of 86.

Finally divide

86/7=12.2

Since 12.2 movies aren't possible, let's say the mean is 12

3 0
3 years ago
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