5x - 4 > 12 AND 12x +5≤-4
1 answer:
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Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation to get the slope m.
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.
Answer:
All four options are correct.
Step-by-step explanation:
Option 1
m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]
By the converse property of corresponding angles theorem,
CD║EF
Since, angle between AB and CD is 90°,
AB⊥CD
True
Option 2
Since, angles between AB and EF is 90°, both will be perpendicular.
AB ⊥ EF
AB ⊥ CD
True
Option 3
CD║EF and AB ⊥ EF
True
Option 4
CD║EF, AB ⊥ CD and AB ⊥ EF
True
Therefore, all options are correct.
Compare the linear function given with the slope-intercept form of a line, given by,
Where m is the slope and b is the y-intercept.
Comparing tells us that 10 is the slope. What does it mean?
<em>It means for </em><em>every unit increase in w (weeks)</em><em>, there is a </em><em>10 unit increase in number of laps</em><em>. </em>
This is choice 4.
ANSWER: "The number of laps Jessica increased her swim by each week"