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3 years ago

3a+8b-5c 6a- 9b+4c -7a+b+2chow do I solve this by solving using addition operation

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer: 2a+c

Step-by-step explanation: You add all variables that are positive then you subtract by negatives or vice versa. Add 3a+6a-7a yes subtract the 7a which gets you 2a. Add 8b+b-9b, you get 9b-9b which is 0 so you don’t need b in the problem anymore. -5a+4c+2c then you get c, because it is 1 c. So your answer is 2a+c. :P Hope this helped.

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A polyhedron with 16 edges cannot be a prism. Explain why this must be true

Readme [11.4K]

Answer:

This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.

Step-by-step explanation:

3 0

3 years ago

Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per ye

Oksanka [162]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 63000

r = 2.55% = 2.55/100 = 0.0255

n = 12 because it was compounded 12 times in a year.

Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is

C(t) = 63000(1 + 0.0255/12)^12t

C(t) = 63000(1.002125)^12t

For C(t) = 100000,

100000 = 63000(1.002125)^12t

100000/63000 = (1.002125)^12t

1.587 = 1.002125)^12t

Taking log of both sides

Log 1.587 = log 1.002125)^12t

Log 1.587 = 12tlog 1.002125)^

0.2005 = 12t × 0.00092

0.2005 = t × 0.01104

t = 0.2005/0.01104

t = 18.16 years

5 0

3 years ago

What are the roots of this equation? x2-4x+9=0

zysi [14]

Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

$x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

The quadratic function is f(x) = x² + 4x +9

Being:

a= 1
b= 4
c= 9

the zeros or roots are calculated as:

$x1=\frac{-4+\sqrt{4^{2}-4x1x9 } }{2x1}$

$x1=\frac{-4+\sqrt{16-36 } }{2x1}$

$x1=\frac{-4+\sqrt{-20 } }{2x1}$

and

$x2=\frac{-4-\sqrt{4^{2}-4x1x9 } }{2x1}$

$x2=\frac{-4-\sqrt{16-36 } }{2x1}$

$x2=\frac{-4-\sqrt{-20} }{2x1}$

If the content of the root is negative, the root will have no solution within the set of real numbers. Then $\sqrt{-20}$ has no solution.

Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

Learn more about the zeros of a quadratic function:

brainly.com/question/842305

brainly.com/question/14477557

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6 0

1 year ago

Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no

Dimas [21]

Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.

<h3>Further explanation </h3>

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.

Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.

Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.

<h3>Learn more</h3>