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scoray [572]
3 years ago
13

William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

24

Step-by-step explanation:

Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people

Now only the remaining 3 can come second - 3 people

Next, only the remaining 2 people can come third - 2 people

Finally, one person comes last - 1 person

4 x 3 x 2 x 1 = 24

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The line goes through the ordered pair (10, 6) It has a y-intercept of -2.
VLD [36.1K]

Answer: the x-intercept would be (2,-2)

Step-by-step explanation:

6 0
3 years ago
Find the midpoint of (-3,-5), (4,5) *<br> (3,2)<br> O (-6,4)<br> (0.5,0)<br> O (-1,-3)
Sergeu [11.5K]

Answer:

(0.5, 0) will be the midpoint by applying formula which is

add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer

3 0
3 years ago
Question attached plz answer
Bezzdna [24]

Answer:

x = - 2.5

Step-by-step explanation:

Given that the sketch represents

y = x² + bx + c

The graph crosses the y- axis at (0 , - 14), thus c = - 14

y = x² + bx - 14

Given the graph crosses the x- axis at (2, 0), then

0 = 2² + 2b - 14

0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

b = 5

y = x² + 5x - 14 ← represents the graph

let y = 0 , then

x² + 5x - 14 = 0 ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

The x- intercepts are x = - 7 and x = 2

The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus

the x- coordinate of the turning point is \frac{-7+2}{2} = \frac{-5}{2} = - 2.5

8 0
3 years ago
If a truck averages 17 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra
dimulka [17.4K]
The answer might be 13.88
3 0
2 years ago
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Artist 52 [7]

Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

sqrt(2) is also not possible  because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

5 0
1 year ago
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