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slava [35]
2 years ago
7

The roots of a quadratic function are x = -3 and x = 2/3. Which of the following would be the constant term of the equation in s

tandard form?
A. -2
B. 6
C. 2
D. -6
Mathematics
1 answer:
Alla [95]2 years ago
7 0

Answer:

-2

Step-by-step explanation:

Since the roots are known and the function is a quadratic function, we can write down the function:

y = (x+3)(x-2/3) since when the roots are plugged in, the function gives 0.

Standard form means that the function has to be expanded:

y = (x+3)(x-2/3) = x^{2}+3x - 2x/3 - 3*2/3

y = x^{2}+ 7x/3 - 2

The constant term is -2.

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How do you simplify the equation useing like terms: 8r+12p-7-3p
stiks02 [169]

Answer:

8r+9p-7

Step-by-step explanation:

12p-3p=9p

8r+9p-7

7 0
3 years ago
Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph
Alexxandr [17]
<span>The scales are different on the x-axis and the y-axis.
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3 years ago
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More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh
Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = \int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx

= \int_{-1.34}^{1.34}(5x^{2}-9)dx

= [\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}

= [\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]

= [-4.01+12.06-4.01+12.06]

= 16.1 unit²

6 0
3 years ago
The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
ikadub [295]

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11

3 0
3 years ago
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round
Vikki [24]
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
8 0
3 years ago
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