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maria [59]
3 years ago
5

State the value of the discriminant for the equation, 3x^2 + 7x + 3 = 0

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer: 13

Step-by-step explanation:

If you remember the quadratic equation formula;

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

You can easily extract what is under the root to find the discriminant.

b^2-4ac=?\\

a = 3

b = 7

c = 3

(7)^2-4(3)(3)\\49-36=13

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X - 62.54 = 85.6<br><br> Answer for x
VladimirAG [237]

Answer:23.06

Step-by-step explanation:

subtract 85.6 from 62.54 and that should shoot out your answer

8 0
3 years ago
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Which composition of transformations will create a pair of similar
Romashka [77]

Answer:

A rotation, then a dilation

Step-by-step explanation:

When two triangles are congruent, the three sides and angles will be the same.

A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.

Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.

8 0
3 years ago
Which expressions are equivalent to 7^8 x 7? Select all that apply.
nlexa [21]

Answer:

Step-by-step explanation:

7^8*7=

5764801 * 7= 40353607

A. 7^3*7^3= 343*343= 117649 <--- not the answer

B. 7^18/7^9= 40353607 <---- right answer

C. (7^3)^3= 343^3= 40353607  <------ right answer

D. 7^5+7^4= 16807+2401= 19208 <---- not the answer

E. 7^5*7^4= 16807*2401= 40353607 <---- right answer

7 0
3 years ago
Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions.
frosja888 [35]

Answer:

The polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2}.

Step-by-step explanation:

The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.

Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).

Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.

Now, given that f(5) = 20

So, from the equation (1) we have

20 = A(5)(5 - 2)²

⇒ A = \frac{4}{9}

Therefore, the polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2} (Answer)

4 0
3 years ago
Question 7 Multiple Choice Worth 1 points)
expeople1 [14]

Answer:

The answer to your question is (3, 0)

Step-by-step explanation:

Data

              4x  +  2y  = 12                 Equation l

                x  -    y   = 3                   Equation ll

Process

To solve this problem use the elimination method

1.- Multiply equation ll by 2

              4x  +  2y  =  12

              2x  -  2y  =    6

              6x      0   = 18

2.- Solve for x

                        6x = 18

                          x = 18/6

                          x = 3

3.- Substitute x in equation ll to find y

                3  -  y  = 3

-Solve for y

                    -y = 3 - 3

                     y = 0

4.- Write the solution

                   (3, 0)

8 0
3 years ago
Read 2 more answers
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