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erastovalidia [21]
3 years ago
13

Question 1 (Essay Worth 10 points)

Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Both functions are linear, as the highest power of x is 1 in each case.

The function represented by the table has a slope of 6, since each unit increase in x results in a unit increase of 6 in y.

The function g(x) = 2x + 6 has a slope of 2.

The y intercept of f(x) is (0, -6), which we can read directly from the table.

The y int. of g(x) is 6, which can be read directly from y = 2x + 6.

g(x) has the greater y-intercept:  +6 versus -6.

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The minimum amount of points required to make a plane is 3 points.
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3 years ago
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There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club
g100num [7]
Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
y = 27

x = y + 10
x = 27 + 10
x = 37 

To check:

x + y = 64
37 + 27 = 64
64 = 64

8 0
4 years ago
Show work how you know it’s a function or not a function for each problem. PLEASE SOMEONE HELP ME OUT
Fudgin [204]

Answer: Function, not a function, Function, not a function

Step-by-step explanation:

For it to be a function, each value of x has to map onto one value of y.

  1. This is a function.
  2. Not a function since x=-1 has more than one y value.
  3. This is a function
  4. Not a function since x=-6 has more than one y value.
7 0
2 years ago
Solve the equation: <br><img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20-%203%20%3D%200" id="TexFormula1
Genrish500 [490]

Answer:

delta =  {7}^{2}   - 4 \times 2 \times ( - 3) \\  = 49 + 24 = 73 \\ x 1=  \frac{ - 7 +  \sqrt{73} }{4}  \\ x 2=  \frac{ - 7  -  \sqrt{73} }{4}

3 0
3 years ago
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
cupoosta [38]

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

8 0
3 years ago
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