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enot [183]
2 years ago
10

A cab company charges according to the following rate chart. Which graph correctly represents the charge, y, in dollars for a ca

b ride of x miles? Cab Rates by Mile Miles Charge Flag drop fee (0 miles) $5.00 g miles $1.00 per mile miles $2.00 per mile for each mile over 10
Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

The graph is the one that correctly represents the linear piece-wise function is the first graph.

<h3>How to solve for the graph</h3>

First we have a linear function as

Mx + b

mc= slope, this is the rate of change, how y changes as x changes by 1.

b = y-intercept, y value as x = 0

y = 5 + x

x ≤ 10

at 10 we have 5 + 10 = 15

at 2 dollars

y = 15 + 2(x - 10)

at 14

y = 15 + 2(14 - 10)

15 + 2*4

= 23

Hence we can conclude that the first graph here is the correct one.

Read more on graphs here:

brainly.com/question/22295833

#SPJ1

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the area of the rectangle 56cm. the length is 2cm more than x and the with is 5cm less than twice x. solve for x. round the near
sattari [20]
(x+2)(2x-5)=56

2x^2-5x+4x-10=56

2x^2-x-10=56

2x^2-x-66=0

2x^2-12x+11x-66=0

2x(x-6)+11(x-6)=0

(2x+11)(x-6)=0, since x is a measurement x>0 so:

x=6cm


7 0
3 years ago
Read 2 more answers
a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb
bogdanovich [222]
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
5 0
3 years ago
Point D is 1/2 of the distance between which two points?
USPshnik [31]

Answer:

B and E

Step-by-step explanation:

B = - 6, D = - 2, E = 2

d(B, D) = - 2-(-6)= - 2 + 6 = 4 units

d(D, E) 2 - (-2) = 2 + 2 = 4

Since, d( B, D) = d( D, E)

Therefore, Point D is 1/2 of the distance between B and E.

5 0
3 years ago
HELP ASAP TEST IS OMOST OVER!!!!!!!!!!
svet-max [94.6K]

Answer: C)46 ft

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

C=2\pi r

Where "r" is the radius of the circle.

Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

Fencing=\frac{2\pi r}{2}+2l+w

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.

Since we know that the radius of the circle is half its diameter, we can find "r". This is:

r=\frac{7ft}{2}=3.5ft

Then, substituting values (and using \pi=\frac{22}{7}), we get:

Fencing=\frac{2(\frac{22}{7})(3.5ft)}{2}+2(14ft)+7ft=46ft

4 0
3 years ago
Read 2 more answers
A laundry basket contains 34 white socks and 62 tan socks. What is the probability that a random selected sock will be white?
allochka39001 [22]

Answer

34/96 or simplify it, 17/48

Step-by-step explanation:

62+34=96

And because you have 34 white socks, 34/96 or simplify it, 17/48

7 0
3 years ago
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