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OLga [1]
3 years ago
7

What are the coordinates of the roots of the equation X squared plus 4X +3 equals zero

Mathematics
2 answers:
OLga [1]3 years ago
8 0
Answer= (-1,0), (-3,0)
MissTica3 years ago
3 0

Answer:

(- 3, 0 ), (- 1, 0 )

Step-by-step explanation:

Given

x² + 4x + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

(x + 3)(x + 1) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Coordinates of roots are (- 3, 0 ) and (- 1, 0 )

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An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kil
Oliga [24]

Answer:

54.80 MPa to 55.92 MPa

Step-by-step explanation:

Sample mean fracture strength (x) = 55.36 MPa

Sample standard deviation (s) = 3.99 MPa

Sample size (n) = 196.

The upper and lower bounds for a 95% confidence interval are given by:

U=x+1.960*\frac{s}{\sqrt{n}} \\L=x-1.960*\frac{s}{\sqrt{n}}

The upper and lower bounds of the confidence interval are;

U=55.36+1.960*\frac{3.99}{\sqrt{196}}\\U= 55.92\\L=55.36-1.960*\frac{3.99}{\sqrt{196}}\\L= 54.80\\

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa

4 0
4 years ago
What is the solution to this system of equations PLEASE HURRY
VARVARA [1.3K]

Answer:

-6,-2

Step-by-step explanation:

7 0
3 years ago
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
shutvik [7]

Answer:

1/14 i think

Step-by-step explanation:

7 0
3 years ago
Natalie has pounds of potatoes. She needs of that amount. How many pounds of potatoes does she need?
Savatey [412]
She will need 10 pounds
4 0
3 years ago
The center of a hyperbola is (−4,3) , and one vertex is (−4,7) . The slope of one of the asymptotes is 2.
Monica [59]

Answer:

The answer to your question is below

Step-by-step explanation:

C (-4, 3)

V (-4, 7)

asymptotes = 2 = \frac{b}{a}

- This is a vertical hyperbola, the equation is

       \frac{(y - k)^{2} }{a^{2} } + \frac{(x - h)^{2} }{b^{2} } = 1

slope = 2

a is the distance from the center to the vertex = 4

b = 2(4) = 8

       \frac{(y - 3)^{2} }{4^{2} } + \frac{(x + 4)^{2} }{8^{2} } = 1

       \frac{(y - 3)^{2} }{16} + \frac{(x + 4)^{2} }{64} = 1

7 0
3 years ago
Read 2 more answers
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