Answer:
48 sweets
Step-by-step explanation:
5:2:4
Sarah: 5
Natasha:2
Richard:4
To find out how many sweets Richard got, we need to use 60 as the lcm. Since, we have a definite constant of 60 we need to divide it by the presiding ratio.
60/5 = 12
That means for a ratio of 1, everyone in the group recieves 12.
Now, we plug it in for each of the members.
5x = Sarah
2x = Natasha
4x = Richard
Sarah = 60 sweets
Natasha = 24 sweets
Richard = 48 sweets
The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.
Emily got 5 shares or £30 × 5 = £150.
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
(2 , 2) and (6,4)
slope = (4 - 2)/(6 - 2) = 2/4 = 1/2 = 0.5
y intercept b = 1
Equation
y = 0.5x + 1
Answer is a
y = 0.5x + 1
The answer is 46 because 9*4=36.