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Softa [21]
3 years ago
9

Two linear functions, f(x) and g(x), are combined by addition to form h(x). The same two linear functions are combined by multip

lication to form j(x). Graphs of the resulting combined functions are shown. Which statements are true? Check all that apply. Graph A represents j(x). Graph A represents h(x). The y-intercepts for f(x) and g(x) can be 1 and 3. The y-intercepts for f(x) and g(x) can be 3 and 4. The rate of change of the sum of f(x) and g(x) is greater than that of either function.
Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

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choli [55]
Hello,

2 possibilties:
1) a translation to the right of 5 (both parabolas are turning upward)
2) a central symetry( center is (-1.5,-6)
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3 years ago
big water canoeing company rents conoes for 75$ per hour. explain why the point (0,0) and (1, 75) are on the graph of the relati
Pepsi [2]
The X (1) axis represents the number of hours, and the Y (75) axis represents the number of dollars. When 0 hours are passed, 0 hours are payed (0,0) 1 hour 75 dollars are payed (1, 75) 2 hours 150 dollars is payed (2, 150) and so on
3 0
3 years ago
What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3
Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

f(x)=-x^2+3x+6

Over the interval -3

Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

3 0
3 years ago
Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-interc
Rashid [163]

Answer:

The equation of a parallel line would be y = 2x + 4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4

3 0
2 years ago
What is 3+3 I don't """""""
iogann1982 [59]

Answer:

3+3 is 6.

Have a great day and stay safe! :) :D :3

5 0
2 years ago
Read 2 more answers
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