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Delvig [45]
3 years ago
5

The graph of F(x), shown below, has the same shape as the graph of

Mathematics
2 answers:
natita [175]3 years ago
6 0

Answer:

F(x) = x^2+3

Step-by-step explanation:

timama [110]3 years ago
4 0
If g(x) = -f(x), then the graph of g is obtained from the graph of f by reflecting about the x-axis. Suppose, for example, that f(2) = 3, so the point (2,3) is on the graph of f. Since g(x) = -f(x), then g(2) = -f(2) = -3, and the point (2,-3) is on the graph of g.
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Solve the following system of equations by graphing and select the correct answer below:
JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

7 0
3 years ago
Read 2 more answers
f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
Kelli has a family photograph with a width of 6 in and a height of 8 in. She wants to enlarge the photograph so that it’s width
Gelneren [198K]

Answer:20 Inches

Step-by-step explanation:

it is enlarged by 2.5 so you multiple the height (8) by 2.5 as well

6 0
3 years ago
Problem: Gerri made a function machine. Find the rule for Gerri's function machine.
shusha [124]
There are an infinite number of possibilities, and not enough information
to decide which possibility is really the one inside the function machine.

Here are a few.  Each of these gives the result that you described,
and there are an infinite number of others:

f(x) = x

f(x) = 2x + 1

f(x) = 10x + 9

f(x) = x² - 2

f(x) = 7x² - 8

f(x) = 31x³ + 30

f(x) = log( |x| ) - 1

f(x) = ln( |x| ) - 1

f(x) = x tan(45°)
.
.
etc.
5 0
3 years ago
How do you calculate the residuals for a scatterplot?
dsp73

To find the residual I would subtract the predicted value from the measured value so for x-value 1 the residual would be 2-2.6 = -0.6

7 0
3 years ago
Read 2 more answers
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