The price of a laptop went down by $175. The new price is $950. Which of the expressions shows the price of the laptop before th
e sale?
1 answer:
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Answer:
(3) 49
Step-by-step explanation:
The circle diagram is attached below. angle mVS = 146°
and angle mST = 64°.
mWT = 360 -64 - 146 = 150 (angle at a point)
∠ VWS = 73° = mVS / 2
MVW = 180 - 146 = 34 (angle in a straight line)
MVW = 180 -73 - 34 = 73° (angle in a triangle)
∠TMR = 180 - 64 = 116° (angle on a straight line)
∠VMT = 116 + 34 = 150°
∠ MVT = ∠ MTV (base angles of an isosceles triangle)
150 +2∠ mTV = 180
∠ MTV = 15°
∠RVW = 73 - 15 = 58°
∠RVW + ∠ VWS + ∠VRW = 180
∠VRW = 180 - 58 - 73 = 49
Answer:
The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.
Step-by-step explanation:
The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.
Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by
=
=
Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.
Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by
=
=
Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)