MATHEMATICS COLLEGE

Find the missing variable in the following question.If there is direct variation and y = 35 and x = 14, find x when y = 15.

A. x = 15
B. x = 6
C. x = 24
D. x = 12

Answers

Answer 1
Answer:

Answer:

X=2×3=6

Step-by-step explanation:

Y=5, x=2×3=6

I hopethis helps

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Identify the vertex, axis of symmetry, maximum orminimum, and domain and range of the function
2x² – 5x + 3 = m(x)

Answers

Answer:

  • vertex: (1.25, -0.125)
  • axis of symmetry: x = 1.25
  • minimum: -0.125
  • domain: all real numbers
  • range: y ≥ -0.125

Step-by-step explanation:

For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...

  x = -(-5)/(2(2)) = 5/4 = 1.25

The vertex is on the axis of symmetry. The y-value there is ...

  m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8

The vertex is (5/4, -1/8).

The axis of symmetry is x = 5/4.

The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.

The minimum is -1/8.

The function is defined for all values of x, so ...

the domain is all real numbers.

Values of y can only be -1/8 or greater, so ...

the range is y ≥ -1/8.

a moving truck charges $250 to rent a truck and $0.40 for each mile driven. mr.lee paid a total of $314. which equation can be used to find m, the number of miles he drove the moving truck?

Answers

(314 - 250) / 0.40 = m
^divided by
m = 160
m=160 I double checked

Is line / parallel to line m? Explain.
Note: Not drawn to scale

Answers

Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.

What is -a ^-2 if a=-5

A. -25
B.25
C.-1/25
D.1/25​

Answers

Answer:

-1/25

Step-by-step explanation:

- (a)^-2

Let a = -5

- (-5)^-2

-1/(-5)^2

-1/25

Answer:

  -1/25

Step-by-step explanation:

-(-5)^-2 = -1/(-5)^2 = -1/25

Solve the equation
2.5y +6 =4.5y -1

Answers

Answer:

Step-by-step explanation:

4.5y - 1 = 2.5y + 6

2y - 1 = 6

2y = 7

y = 7/2 or 3.5

Find the equation of a line through (1,1) whichisperpendicular to a line through (1,3) and (2,5).

Answers

Answer:

y=(-1)/(2)x+(3)/(2)

Step-by-step explanation:

Point on a line is  (1,3) and (2,5).

slope=(y_2-y_1)/(x_2-x_1) =(5-3)/(2-1) =2

slope of given line is 2

slope of perpendicular lines are negative reciprocal of one another

slope of perpendicular line is -1/2

slope = -1/2     (1,1)

y-y_1=m(x-x_1)

y-1=(-1)/(2)(x-1)

y-1=(-1)/(2)x+(1)/(2))

add 1 on both sides

y=(-1)/(2)x+(3)/(2)
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