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valina [46]
3 years ago
10

Terry has nuts and bolts. The ratio of the number of nuts to the

Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Study the steps used to solve the equation.

Given: StartFraction c Over 2 EndFraction minus 5 equals 7

Step 1: StartFraction c Over 2 EndFraction minus 5 plus 5 equals 7 plus 5

Step 2: StartFraction c Over 2 EndFraction plus 0 equals 12

Step 3: StartFraction c Over 2 EndFraction equals 12

Step 4: 2 (StartFraction c Over 2 EndFraction) equals 12 (2)

Step 5: c equals 24

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(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

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

4 0
3 years ago
X - y = -2<br> y = -x - 2<br> What is the solution
LenKa [72]

Answer:

<em>x </em>= -2

<em>y </em>= 0

Step-by-step explanation:

Pretty hard process, but let me explain:

First, solve for y.

Substitute -x - 2 for y in x - y = -2:

Then, simplify both sides of the equation.

x - y = -2

x - (-x - 2) = -2

After, add -2 to both sides of the equation.

2x + 2 = -2

2x + 2 + -2 = -2 + -2

Next, divided both sides by 2.

2x/2 = -4/2

After that, substitute -2 for x in y = -x - 2:

You must simplify both sides of the equation.

y = -x - 2

y = -(-2) - 2

y = 0

Sorry if this is long and confusing, but I hope this helps!!

4 0
3 years ago
What is the area of the following circle of the radius is 4=r
maria [59]

Answer:

50.24 (unit squared! cm2, m2, etc.)

Step-by-step explanation:

Area is: Pi x r^2

3.14 x 4^2 = 3.14 x 16 = 50.24

8 0
3 years ago
Read 2 more answers
The picture has the question
Reptile [31]

Answer:

A:80 FT

Step-by-step explanation:

just did it

6 0
3 years ago
11-
Otrada [13]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
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