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sp2606 [1]
2 years ago
4

The more people living in an area, the more likely it is that public buses will be used. City A has a population of 51,242 and c

overs an area of 89.22 mi2. City B has a population of 50,178 and covers an area of 8.12 mi2. Which statement about use of public buses in the cities is most likely true?
Mathematics
1 answer:
Elena-2011 [213]2 years ago
7 0
Can we get the options?
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What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?
zalisa [80]

we have

f(x) = 6x^{2} + 12x -7

To find the zeros equate the function to zero

6x^{2} + 12x -7=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

7= 6x^{2} + 12x

Factor the leading coefficient

7= 6(x^{2} + 2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

7+6= 6(x^{2} + 2x+1)

13= 6(x^{2} + 2x+1)

Rewrite as perfect squares

13= 6(x+1)^{2}

(13/6)=(x+1)^{2}

square root both sides

x+1=(+/-)\sqrt{\frac{13}{6}}

x=-1(+/-)\sqrt{\frac{13}{6}}

x1=-1+\sqrt{\frac{13}{6}}

x2=-1-\sqrt{\frac{13}{6}}

therefore

the answer is

The zeros of the quadratic function are

x=-1+\sqrt{\frac{13}{6}} and x=-1-\sqrt{\frac{13}{6}}


3 0
2 years ago
Read 2 more answers
On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from
Anna007 [38]
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
               
                    99ft
      A  -------------------------  B
         |                              |
20 ft  |                              |
         |                              |
    C   --------------------------  D

The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now you solve for the square root of 10,201 to get C.

sqr (10,201) = C
C = 101 yards

3 0
2 years ago
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines
nevsk [136]

Answer:

(A) The residents of Belmont are more likely to use public transportation because the city has the highest population density.

Step-by-step explanation:

correct on edge

7 0
2 years ago
The resultant force r is related to two concurrent forces,x and y acting at right angles to one another by the formula r^2=x^2+y
dimaraw [331]
If <span>r^2=x^2+y^2 then
</span>y^2=r^2-x^2
y=\sqrt{r^2-x^2}
7 0
2 years ago
Read 2 more answers
Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi
meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

4 0
2 years ago
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