To find f(5) for the function –2x^2 + 2x – 3, substitute 5 in place of x and evaluate the expression. The value of f(5) is -43.
To find f(5) for the function –2x2 + 2x – 3, simply substitute 5 in place of x in the function.
So, f(5) = –2(5)2 + 2(5) – 3.
Calculating further, f(5) = –2(25) + 10 – 3 = –50 + 10 – 3 = –40 – 3 = -43.
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The value of cos θ is,
⇒ cos θ = 0.6
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
Hence, We can formulate;
⇒ cos θ = 0.6 / 1
⇒ θ = cos ⁻¹ 0.6
⇒ θ = 53.13°
Thus, The value of cos θ is,
⇒ cos θ = 0.6
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Answer:
Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
- 6x - 2y = - 14
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12y = 8
y =
given y ∝ x
To convert to an equation multiply by k the constant of variation
y = kx
to find k use the given condition y = 6 when x = 72
y = kx ⇒ k = = =
equation is → y = x
when x = 8 then
y = × 8 = =
Answer:
Fifth Day (1024 pounds)
Step-by-step explanation:
For every subsequent day, he collected 4 times the previous day.
This increase is a ratio/product, therefore the sequence is a geometric sequence.
The nth term of a geometric sequence,
Where:
a=first term
r=common ratio
n=number of terms
Corey collected 4 pounds of newspaper on day 1., a=4
After day one he collected 4 times the amount and for every subsequent day, he collected 4 times the previous day. r=4
We want to determine on which day he will first collect over a 1000 pounds of new paper.
In order to apply law of indices, we look for the next term greater than 250 which is an index of 4.
Therefore on the fifth day, he will collect an amount over 1000 pounds, precisely 1024 pounds.