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NeX [460]
3 years ago
7

(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7

Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

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1 point
tekilochka [14]

Answer:

$6.03

Step-by-step explanation:

Let's begin by listing out the given variables:

height (h) = 12 cm, diameter (d) = 8 cm, r = d ÷ 2  ⇒ r = 4 cm, cost of coconut oil (c) = $0.01 /cm³

The formula of cylinder is given by:

V = πr²h = π * 4² * 12 = <u>603.1858 cm³</u>

cost of filling the tin can with coconut oil = cost of coconut oil * Volume of cylinder

Cost = c * V = 0.01 * 603.1858

Cost = $<u>6.03</u>

5 0
3 years ago
What is the truth value for the following conditional statement?
Studentka2010 [4]

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

  • If a and b are both true, then a→b is true.
  • If a is true, b is false, then a→b is false.
  • If a is false, b is true, then a→b is true.
  • If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

3 0
3 years ago
Ilang metro ang 1300 sentimetro?<br><br>a. 1metro<br>b. 13 metro<br>c. 130 metro​
Pie

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m

Hence, there are 13 m in 1300 cm.

4 0
3 years ago
What is the answer to A and B?
Alex_Xolod [135]
For A) u must start at -3 on y lines. Then move points up 1 and 3 to the right. Makes point and continue to make lines
For B) start at 5 on y lines, and remember -x is same thing is -1. And negative means go down! So move 1 down and 1 to the right and make point then move 1 down and make 1 right and make second points and continue. Draw a lines.

The solution is when u see two lines from two equations crosses to each other. There’s solution shown.
3 0
3 years ago
Calculate the area of the irregular polygon shown below:
nlexa [21]
Area of the polygon = multiply all sides
10 * 5 * 4 * 3 * 4 * 3 * 5 = 36000in^2

Answer = 36000in^2
5 0
3 years ago
Read 2 more answers
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