Answer:
The system of this equation is ( -1, 10) which is Option A.
Step-by-step explanation:
Solve for y in the first equation.

Replace all occurrences of yy with -5x+5 in each equation.

Solve for x in the first equation.

Replace all occurrences of x with -1 in each equation.

The solution to the system is the complete set of ordered pairs that are valid solutions.
(−1, 10)
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>system</u><u> </u><u>of</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>(</u><u>-1</u><u>,</u><u> </u><u>10</u><u>)</u><u>.</u><u> </u>
<u>Option</u><u> </u><u>A</u><u>.</u>
Step-by-step explanation:
2 is an even number so if everytime u land on an even number u win $8 so we do this (8-2=6)
The two dot plots are missing, so i have attached it.
Answer:
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
Step-by-step explanation:
From the attached image, we are told to compare the means for each plot to the nearest tenth.
Mean = Σx/n
Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;
(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133
Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles
Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143
Mean of miles run at the end of the school year = 143/14 = 10.2 miles
Thus;
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
Answer:
Sale price is $2.58.
Paid with tax is $2.73
Step-by-step explanation:
If the make-up is originally $4.30 and you receive a 40% discount. This means you'll pay 60% of the price since 100-40=60.
To find this price, 60% as 0.6 is multplied with the price. 0.6*4.30 = $2.58
This is the sale price.
When you pay you will pay 6% tax or 0.06 of the price. Find this by multiplying $2.58 by 1.06.
2.58(1.06) = $2.73
Answer:
k = - 3
Step-by-step explanation:
Given that x = 3 is a solution then it satisfies the equation, that is
2(3)² - 5(3) + k = 0
2(9) - 15 + k = 0
18 - 15 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3