The distance from Jason's House to school is 0.5 Kilometer. What is this distance in meters.

Answers

Answer 1
Answer: The distance in meters is 500 meters.

1 kilometer is equal to 1000 meters. In this case, it is only 0.5 kilometers.

So,

0.5 kilometers * 1000 meters/km = 0.5 * 1000 m = 500 meters

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Suppose you are traveling straight from Los Angeles, California to Albuquerque, New Mexico, stopping overnight in Flagstaff, Arizona. The distance from L.A. to Albuquerque is 810 miles, and the road connecting the three cities is a straight line. If the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque, how far is L.A. from Flagstaff, and how far is Flagstaff from Albuquerque?

What is the proportion and answer?!!!

Answers

The proportion is 6 parts tomato: 2 parts bell pepper

To solve:

6    x
-- = --
2   1.5

Cross multiply and divide

6(1.5)=2x
9=2x
9/2=2x/2
4.5=x

The answer is 4.5

I hope I helped! :)

Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?a.No: we would have no information about the domain.
b.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n.
c.No: we would need to know if the vertex is a minimum or a maximum.
d.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.


Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

y=2x-x+6

A)( 0.25, 6.125)
B)(-0.25, 5.875)
C)( 0.25, 5.875)
D)( 0.25, 6)

Answers

The correct answers are:


C) No: we would need to know if the vertex is a minimum or a maximum; and

C)( 0.25, 5.875).


Explanation:


The domain of any quadratic function is all real numbers.


The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.


If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.


There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.


The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).

Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

f(x)=a(x-h)^2+k              .... (1)

Where, (h,k) is the vertex.

The given functions are

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

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

h=0,k=2

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Maximum(F_1)=2

Maximum(F_2)=4

Therefore function 2 has a larger maximum.

Answer:

the anwser is 2 guys. i got it correct

Use the quadratic formula to determine the exact solutions to the equation. 6x^2+4x-3=0

X=_____. Or x=_______

Answers

X1=(-2-√22)/6

X2=(-2+√22)/6

for ax²+bx+c=0
x= (-b+/- √(b^2-4ac) )/(2a)

6x²+4x-3=0
a=6
b=4
c=-3

subsitute
x= (-4+/- √(4^2-4(6)(-3)) )/(2(6))
x= (-4+/- √(16+72) )/(12)
x= (-4+/- √(88) )/(12)
x= (-4+/- 2√(22) )/(12)
x= (-2+/- √(22) )/(6)

x= (-2+ √(22) )/(6) or x= (-2- √(22) )/(6)

aprox x=0.448403 or -1.11507

Can anyone help please

Answers

Answer:

a) (x + 2)(x + 8) ; b) (x + 4)(x + 3) ; c) (x + 12) (x + 1)

Step-by-step explanation:

Think about what would add to make the 'b' and multiply to make the 'c' using this equation: ax² + bx + c

a) (x + 2)(x + 8)

b) (x + 4)(x + 3)

c) (x + 12) (x + 1)

there are 20 golf balls in a bag, and 2 of the golf balls are white. the rest are yellow sherry randomly chooses golf balls, looks at the colors and returns it to the bag. she mixes up the golf ball and randomly selects another one. what is the probability that sherry selects a yellow ball both times? write your answer as a percent.

Answers

99% is my guess because there are 2 white golf balls and the rest are yellow. i am just thinking logically.