Answer:
3.b
i hope question 3.a. is 5^x ÷ 5^-3 = 5^5
3.a.
Answer:
(-3,-2)
Step-by-step explanation:
y = -x - 5
y = 2x + 4
plug in one of the y equations
(2x+4)= -x - 5
2x+4=-x-5
3x=-9
x= -3
plug in x to one of the y equations
y= -(-3) -5
y=3-5
y= -2
x= -3, y= -2
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
68.965
Step-by-step explanation:
9514 1404 393
Answer:
447,448,470.0
Step-by-step explanation:
Using your template, you have ...
21% × 2,130,707,000 = 447,448,470.0 . . . . barrels produced in Texas
