Answer:
19
Step-by-step explanation:
9 + 10 = 19
Answer:
Step-by-step explanation:
We're going to have to work backwards.
The sum of 4 and k is 
.
Half is simply that divided by 2.
Now, we'll subtract 8 from it.
Bam!
In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.
y = mx + b
y = 2x + 15
slope(m) = 2 and y int (b) = 15
The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2
example :
baskets picked in 1 hr :
y = 2(1) + 15
y = 2 + 15
y = 17
baskets picked in 2 hrs :
y = 2(2) + 15
y = 4 + 15
y = 19
so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.
The y intercept (15) is telling us that they already had 15 baskets to start with.
You would have to make common denominators
consider a/b,c/d in Q
then a/b - c/d = ad/db - cb/bd = (ad-cb)/db for all a,b,c,d in R, exclude b,d=0
i.e. 1/2 - 1/4
=4/8 - 2/8 =(4-2)/8=2/8 =1/4
Answer:
y = 3x² - 42x + 144
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (7, - 3), thus
y = a(x - 7)² - 3
To find a substitute (9, 9) into the equation
9 = 4a - 3 ( add 3 to both sides )
12 = 4a ( divide both sides by 4 )
a = 3
y = 3(x - 7)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² - 14x + 49) - 3
= 3x² - 42x + 147 - 3
= 3x² - 42x + 144 ← in standard form
