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Stella [2.4K]
3 years ago
13

Which of the following expression does not include a variable

Mathematics
2 answers:
nata0808 [166]3 years ago
5 0
D. D is the only one without an x term.
lesya [120]3 years ago
4 0

Answer:

d

Step-by-step explanation:

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The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?
s2008m [1.1K]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad  \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)}  \right)\implies (4~~,~~8-48)\implies (4~~,~-40)

5 0
3 years ago
A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh
xxMikexx [17]

Answer:

  $6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

  A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

  A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

  dA/A = 0.0225dt

  ln(A) = 0.0225t +C . . . . integrate

  A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0
3 years ago
What is the difference between -12 and -7
BARSIC [14]
Difference is always positive so it is 5
5 0
3 years ago
PLEASE HELP ASAP!!!!!!
statuscvo [17]

Answer:

24 sides

Step-by-step explanation:

a polygon cannot have a decimal number of sides, it is impossible

since the sum of these exterior angles in a regular polygon must equal 360 degrees. The maximum number of sides that would yield exterior angles that are integers is 360

because 360 ÷ 360 = 1.

4 0
2 years ago
Name the side opposite each angle.
Alex17521 [72]

Answer:

Angle A=Side MT

Angle M=Side AT

Angle T=Side AM

Step-by-step explanation:

8 0
3 years ago
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