Answer:
h(-3) = -5
Step-by-step explanation:
h(-3) = -I 2-(-3) I
Two negatives makes a positive: -(-3) = +3 or 3
h(-3) = -I 2+3 I
h(-3) = -I 5 I
*There is a negative that lies outside of the absolute value lines, which makes everything positive.
Making sure the 5 is positive, remove the absolute value lines.
h(-3) = - +5
The negative sign is still there.
A negative and a positive makes a negative.
h(-3) = -5
Solution:
We have been asked to find the distance between the points (3, 3) and (7, 3).
we can find the distance between the two points using the distance formula.
The distance formula is given as

Now substitute the given values we get

Hence the distance between the given points is 4
Answer:
In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.
Step-by-step explanation:
Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:
Week 1 = 736 total sales
10-inch pizzas = 509
736 = 100
509 = X
509 x 100/736 = X
50,900 / 736 = X
69.15 = X
100 - 69.15 = 30.85
Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.
Week 2 = 1076 total sales
10-inch pizzas = 765
1076 = 100
765 = x
765 x 100/1076 = X
76500/1076 = X
71.09 = X
100 - 71.09 = 28.91
Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.
Answer:
0.57 feet per minute.
Step-by-step explanation:
If the caterpillar moves 4 feet every 7 minutes, it can be written as a ratio: 4/7. When you divide 4 by 7, you'll find the feet per minute rate.
Ax + 3 = 7 - bx .....add bx to both sides
ax + bx + 3 = 7 ...subtract 3 from each side
ax + bx = 7 - 3
ax + bx = 4 ....factor out x
x(a + b) = 4 ...divide both sides by (a + b)
x = 4 / (a + b) <==