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Varvara68 [4.7K]
3 years ago
9

Work out the percentage change when a price of £50 is increased to £80.

Mathematics
2 answers:
professor190 [17]3 years ago
7 0

Answer:

Increase =increase /the original price ×100%

Step-by-step explanation:

80-50=30

30/50×100

=60%

sattari [20]3 years ago
3 0

Answer:

50 to 80 = 60%

Step-by-step explanation:

(80 -50) / 50 x 100 = 60%

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Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each
SSSSS [86.1K]

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

3 0
3 years ago
Decide whether each relation defines y as a function of x. Give the domain and range.
lisov135 [29]
Y=x².

This is te function of a parabola open upward

the domain is all values of x ={x/x∈z}
7 0
3 years ago
Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
If f(x)= -3x-5 and g(x)= 4x-2 find (f+g)(x)
juin [17]

Known :

f(x) = -3x - 5

g(x) = 4x - 2

Asked :

(f+g)(x) = ...?

Answer :

(f+g)(x) = (-3x - 5) + (4x - 2)

= (-3x + 4x) + (-5 - 2)

= x + (-7)

= <u>x </u><u>-</u><u> </u><u>7</u>

So, the value of (f+g)(x) is x - 7

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

5 0
3 years ago
Read 2 more answers
Need help with this one as well I would be very grateful please need help !
hram777 [196]
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.

m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25

Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m"  the linear equation looks like this:
y = 0.25x + b

Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)

45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b

Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.

Final equation is:
y = 0.25x + 20

Part B.) If 939 minutes are used. Just put that in for x and solve for y.

y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75

8 0
3 years ago
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