<span>X - 2 > -3
x > -3 + 2
x > -1
A number line with an open circle -1, closed circle on 4 and shading in between.,when dividing/multiplying by a negative, the inequality sign changes. An open circle is used when there is no equal sign involved. A closed circle is used when there is an equal sign involved. If it is greater then, shading goes to the right. If it is less then, shading goes to the left</span>
Answer:
19x
Step-by-step explanation:
The cost of the racing cars was ...
2(5x) = 10x
The cost of the model motorcycles was ...
3(3x) = 9x
Peggy paid in total ...
10x + 9x = 19x
Cubs to female bear; 3/1 = 3
answer
3
Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:
Step 1
Write the given equation in slope-intercept form and identify its slope m.
Thus:
Step 2
Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.
Answer
From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:
F(x) = x^5 - x^3 + x
f'(x) = 5x^4 - 3x^2 + 1
f(3) = (3)^5 - (3)^3 + 3 = 243 - 27 + 3 = 219
f'(3) = 5(3)^4 - 3(3)^2 + 1 = 5(81) - 3(9) + 1 = 405 - 27 + 1 = 379
Let the required equation of the tangent line be
y = mx + c; where y = 219, m = 379, x = 3
219 = 379(3) + c = 1,137
c = 219 - 1,137 = -918
Therefore, required equation is
y = 379x - 918
