When Scott woke up this morning, the temperature was 2°F. The temperature fell 5° by noon. Scott used this number line to model
the temperature drop.
What error did Scott make?
A. Scott should have started by moving from 0 to –5.
B. Scott should have started by moving from 0 to –2.
C. Scott started correctly by moving from 0 to 2, but then he should have moved 5 units to the left.
D. Scott started correctly by moving from 0 to 2, but then he should have moved 5 units to the right.
What error did Scott make?
A. Scott should have started by moving from 0 to –5.
B. Scott should have started by moving from 0 to –2.
C. Scott started correctly by moving from 0 to 2, but then he should have moved 5 units to the left.
D. Scott started correctly by moving from 0 to 2, but then he should have moved 5 units to the right.
2 answers:
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Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
=
=
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )