Y ≥ -3x + 2
It will be good to draw a graph and read the solution from the graph
y = -3x + 2
for x = 0 → y = -3 · 0 + 2 = 2 → (0, 2)
for x = 2 → y = -3 · 2 + 2 = -6 + 2 = -4 → (2, -4)
Answer: A, C, E, F.
Each tweet would cost between 1 and 140 pennies you can write that as an inequality [1 ≤ x ≤ 140] Since you can't tweet 0 characters or above 140.
if you want to change it to pounds divide by 100.
A) 1 ≤ x ≤ 140
B) Each character costs a penny, you can't tweet less than 1 character or above 140.
1.) The interval of the value of x is from -5 to 1, inclusive. Remember that what is asked is the absolute value, thus the sign does not matter even if you have to subtract x from 5. Thus, the maximum value would be obtained if the x is smaller, which is 1. The minimum value is obtained when x=-5.
Absolute maximum value:
x = - 5f(-5) = ║5 - 7(-5)^2║ = ║-170║=
170Absolute minimum value:
x = 1f(1) = ║5 - 7(1)^2║ = ║-2║=
2
2.) The Mean Value Theorem (MVT) applies to functions that are continuous and differentiable on the closed and open interval of a to b, respectively. Since the function is a quadratic function, MVT can be applied. Then, this means that there is a value of c which is between a and b. This could be determined using this formula according to MVT:
The differentiated form would be f'(x) = -2x. Then,
Thus, x = -1, x = -1/2, and x=0 all lie in the function 4-x^2.
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
<h3>
At the same rate, how many hours would she have to work to make 374?</h3>
We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:
R = (242 units)/(11 hours) = 22 units per hour.
Now, if she wants to make 374 units, then she needs to work for a time T, such that:
(22 units per hour)*T = 374 units.
Solving that linear equation for T, we get:
T = (374 units)/(22 units per hour) = 17 hours
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
z = 5/2y -1
Step-by-step explanation:
We observe that z has ...
- 1 added
- the sum multiplied by 2/5
To solve for z, we undo these operations in reverse order.
