Answer:
<u>y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Step-by-step explanation:
Slope (m) = 5
Y-intercept (b) = 7
Using the equation y=mx+b, you can find m and b to make y=5x+7.
Steps:
(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m
17-12= 5
2-1 = 1
5/1=5
m=5
12=5(1)+b
12=5+b
7=b
17=5(2)+b
17=10+b
7=b
<u>Answer: y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
First: markup rate × wholesale price = amount of markup
Second: Well the markup rate is a percentage, you have to convert it into a decimal. Percent means "out of one hundred," so <span>80%</span> is equivalent to <span>80/100 </span>which is also equal to <span>80÷100</span>.
<span>Third: 80÷100=0.80</span>
0.80 × $93.00 = $74.40
Fourth: The markup rate is a percentage of the wholesale price that is added to get the retail price, you can find the retail price with the following equation: amount of markup + wholesale price = retail price
<span>$74.40</span> + <span>$93.00</span> = <span>$167.40</span>
The retail price of the chair should be <span>$167.40</span>.
The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Answer:
Gallons of punch used = 4.94 gallons
Step-by-step explanation:
Given that:
Liters of punch purchased = 25 liters
Liters of punch left over = 6 liters
Liters of punch used = 25 - 6 = 19 liters
According to the given statement;
1 liter = 0.26 gallons
19 liters = 0.26*19 gallons
19 liters = 4.94 gallons
Hence,
Gallons of punch used = 4.94 gallons
Step-by-step explanation:
AB · BE = CB · BD Given
CB/BE = AB/BD Division Property of Equality
<ABC = <DBE Vertical angles are equal
ΔABC ≅ ΔDBE SAS Similarity Theorem
Hope it helps