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slamgirl [31]
3 years ago
15

Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect? f(x) g(x) graph of the function f

of x equals one third times x squared, minus 2 x g(x) 1 1 2 2 3 3
Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0

Answer:

the answer is (a)

Step-by-step explanation: just did it

agasfer [191]3 years ago
4 0

Consider the quadratic function f(x)=\frac{1}{3}x^2-2x

and the linear function g(x) defined as

\text{at  }x=1, g(x)=1; \text{ at }x=2, g(x)=2 \text{ and at }x=3, g(x)=3

\text{so the linear function is }
g(x)=x\\
\\
\text{now to check whehter the quadratic function f(x) and linear function }g(x)\\
\text{intersects, we solve the equations }f(x)=g(x)\\
\\
\Rightarrow \frac{1}{3}x^2-2x=x\\
\\
\Rightarrow \frac{1}{3}x^2-3x=0\\
\\
\Rightarrow x\left ( \frac{1}{3}x-3 \right )=0\\
\\
\text{now using the zero product rule, we get}\\
\\
x=0 , \text{ and } \frac{1}{3}x-3=0

\Rightarrow x=0, \text{ and }\frac{1}{3}x=3\\
\\
\Rightarrow x=0, \text{ and }x=9\\
\\
\text{so the functions intersect at x=0 and x=9.}

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Explain how you know that the sum of 12.6,3.1,and 5.4 is greater than 20.
Galina-37 [17]
You have to only add the values
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8 0
3 years ago
Use Transformation to solve the equation.
nikitadnepr [17]

Hey!

---------------------------------------------------

Question #1:

b + 0.6 = -1

b + 0.6 - 0.6 = -1 - 0.6

b = -1.6

Answer:

\boxed{ \bf b~=~-1.6}

---------------------------------------------------

Question #2:

y - 0.6 = -1.8

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Answer:

\boxed{ \bf y~=~-1.2}

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Question #3:

n + 11.5 = -29

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\boxed{ \bf n~=~-40.5}

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Question #4:

e - 14.4 = -20.8

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8 0
4 years ago
Identify the Vertex.
jarptica [38.1K]

Answer: (2, 3)

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6 0
3 years ago
Please Explain/Show Your Work! Thank You!
Vitek1552 [10]

Answer:

5 7/8

Step-by-step explanation:

She needs the sum of all those days to equal 22 miles.  The easiest thing to do is to convert those mixed fractions to improper, then use the LCD to get rid of all the fractions altogether.

Those improper fractions are:

\frac{19}{4}+\frac{41}{8}+\frac{25}{4}+x=22

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The LCD of those denominators is 8, so we will multiply every single term by 8 to get rid of the fractions, leaving us with:

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129 + 8x = 176 so

8x = 47 and

x = 47/8 which is

5 7/8 in mixed form

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3 years ago
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