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defon
3 years ago
5

suppose that f(x)=x^2 and g(x) = -2/3x^2 which statement best compares that graph of g(x) with the graph of f(x)?

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

f(x) = x^2 , g(x)= -\frac{2}{3}x^2

And we want to compare the two functions.

The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:

The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis

Step-by-step explanation:

We have the following two function given:

f(x) = x^2 , g(x)= -\frac{2}{3}x^2

And we want to compare the two functions.

The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:

d) The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis

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Evaluate the expression for the given value of the variable(s). 5a + 5b; a = -6, b = -5
Vika [28.1K]
Your answer is A. You literally plug in the numbers for a and b to solve for the equation.

4 0
4 years ago
Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
HACTEHA [7]

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1  

6 0
1 year ago
Y=x2<br> x=-3 -2 -1 0 1 2 3<br> y=
brilliants [131]

Answer:

see below

Step-by-step explanation:

Y=x^2

x=-3            -2           -1       0       1       2        3

y=(-3)^2    (-2)^2    (-1)^2    0^2    1^2    2^2   3^2

       9           4           1         0        1         4       9

7 0
3 years ago
How many solutions does 9x+5=9x+7
Troyanec [42]

Answer:

There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.

3 0
2 years ago
Read 2 more answers
The ratio of the number of boys to the number of girls in a school is 5:7.If there are 600 students in the school,how many girls
nekit [7.7K]
So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.
600/12 = a

Simplify
50/1 = a
50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys

50(7) = x
350 = x

There are 350 girls.
3 0
3 years ago
Read 2 more answers
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