Answer:
(0, 3).
Step-by-step explanation:
y = 2x + 3
y = -3x + 3
2x + 3 = -3x + 3
5x = 0
x = 0
y = 2 * 0 + 3
y = 0 + 3
y = 3
y = -3 * 0 + 3
y = 0 + 3
y = 3
So, the solution to the system of equations is (0, 3).
Hope this helps!
Answer:
The zeroes of a polynomial is the value of x when the polynomial is set to 0.
We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.
Round the factor of 2 to the nearest 10 then divide the 7 with the x for the two ninths
Answer:
Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: 
, or equivalently, 
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is 
.
To test whether this is correct, we can take first slope, 
, and multiply it with the negative reciprocal slope 
:
Therefore, we came up with the correct slope for the other line, which is .
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:
Answer:
The fuel efficiency of Natalie's car is 25 miles per gallon. Which of the following statements are true? Select two that apply.
a. For every mile Natalie travels, she uses 25 gallons.
b. For every gallon Natalie uses, she travels 0.04 miles.
✓c. <u>For every mile Natalie travels, she uses 0.04 gallons.</u>
✓d. <u>For every gallon Natalie uses, she travels 25 miles.</u>
C. and D. are the right answer.
