Answer:
1.9 as a decimal
1 9/10 as a fraction
Step-by-step explanation:
45 + 50 = 95
95/50 = 1 9/10
1 9/10 = 1.9
A 10% booking fee is added to the ticket price (I'm guessing 10% is added for each ticket)
Find 10% of the adult and child ticket:
10% of 15 = 1.5
10% of 10 = 1
find the total price for the 4 adult tickets he buys and 2 child tickets:
(15 +1.5) × 4 = 66
(10 + 1) × 2 = 22
66 + 22 = 88
1.5% will then be added if he lays by credit card :
1.5% of 88 = 1.32
total :
88 + 1.32 = 89.32
He pays a total of £89.32
You can rewrite the inequality as
Note that
is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e.
The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.
Also, since the equality inlves a and not a sign, the line itself is excluded.
So, the correct graph is the second one.
Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization