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ipn [44]
3 years ago
14

Jasmine took a cab home from her office.the cab charged a flat fee of $4 plus $3 per mile jasmine $32 for the tip. how far does

she live from her home
write as equation
Mathematics
1 answer:
Annette [7]3 years ago
7 0
32 = 4+3x
X= 9.3 miles away from the office
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PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

3 0
3 years ago
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
4 years ago
Read 2 more answers
At the movie theatre, child admission is $6.40 and adult admission is $9.90. On Friday, 154 tickets were sold for a total sales
Minchanka [31]
6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child

154-84=70 for adults
4 0
3 years ago
4. (10 points) From the given triangle:
katrin2010 [14]

Answer:

sinθ =  y/r        sinθ = \frac{-6}{10} = \frac{-3}{5}

cosθ =  x/r       cosθ = \frac{8}{10} = \frac{4}{5}

tanθ =  y/x       tanθ =  \frac{-6}{8} =\frac{-3}{4}

cscθ =  r/y       cscθ = \frac{-5}{3}

secθ =  r/x       secθ =  \frac{5}{4}

cotθ = x/y       cotθ = \frac{4}{3}

explanation:

r = \sqrt{(8)^{2}+(-6)^{2}  }

r = 10

x = 8

y = -6

r = \sqrt{(4)^{2}+(3)^{2}  }

r = 5

x = 4

y = 3

7 0
3 years ago
-14x&gt;-3 solve for x
wariber [46]

x=3/14

3 over 14

hope this helps

3 0
3 years ago
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