Answer:
The average rate of change in that space would be 12.
Step-by-step explanation:
To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (27 - 3)/(1 - -1)
m = 24/2
m = 12
Answer:
c
Step-by-step explanation:
10+12=22
=22^2
=484
Answer:
134 children and 120 adult plates were served
Step-by-step explanation:
let the children mean be x
Let the adult meal be y
If fourteen less children’s meals were served than adult meals at a barbecue, then;
y = x - 14 .... 1
IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;
1.5x + 2y = 441 .... 2
Substitute 1 into 2;
1.5x + 2(x-14) = 441
1.5x+2x-28 = 441
3.5x = 441+28
3.5x = 469
x = 469/3.5
x = 134
Recall that y = x - 14
y = 134-14
y = 120
Hence 134 children and 120 adult plates were served
Answer:

Step-by-step explanation:
The base function is given as

This graph opens up and has its vertex at the origin.
When we shift the graph of this function down by 9 units, its vertex is now at (0,-9)
The equation of this new graph is

Alright so turn 3/4 into a decimal.
3/4 =.75
We need to set up an equation. To do that are need to give boys and girls their own variables.
Girls= X
And since there is 3/4 as many boys
Boys=. 75X
Now we know the sum of boys and girls equals 35
X+.75X=35
X+.75X=1.75X
Now we have 1.75X=35
Divide by 1.75 and get
20=X
Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20
Your Answer:
15 boys
20 girls
You can check
20+15=35
15/20=3/4