Answer:
-10xs20 + 9x + 58
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
Answer:the number of children that swam in the public pool that day is 222
the number of adult that swam in the public pool that day is 259
Step-by-step explanation:
Let x represent the number of children that swam in the public pool that day.
Let y represent the number of adult that swam in the public pool that day.
On a certain hot summer day, 481 people used the public swimming pool. This means that
x + y = 481
The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that
1.25x + 2.25y = 860.25 - - - - - - - -1
Substituting x = 481 - y into equation 1, it becomes
1.25(481 - y) + 2.25y = 860.25
601.25 - 1.25y + 2.25y = 860.25
- 1.25y + 2.25y = 860.25 - 601.25
y = 259
Substituting y = 259 into x = 481 - y, it becomes
x = 481 - 259
x = 222
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
B. (x+2) is a factor
Step-by-step explanation:
3x^2 -x-14
3x^2+6x-7x-14
3x(x+2)-7(x+2)
(3x-7)(x+2)
so, x+2 is a factor of 3x^2-x-14
