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andrew11 [14]
3 years ago
8

Determine the number and type of zeros of the quadratic function based on the value of the discriminant​

Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

if b^2 - 4ac is greater than 0 then there are 2 answers that are not equal to each other, but both are real.

If b^2 - 4ac = 0 then you have two real answers that are equal

The real problem is what happens when b^2 - 4ac is less than 0? In this case the answer is a complex number of the form

a + bi

a - bi

where i is the square root of - 1

stellarik [79]3 years ago
3 0

Answer: see below all answers

Step-by-step explanation:

2 Real  Numbers Solutions: Answers

Discriminant =100

Discriminant = 2

Discriminant = 3

1 Real Number Solution: Answer

Discriminant =0

0 Real Number Solution: Answers

Discriminant = -4

Discriminant = -36

ed2020

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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
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Answer: option d.

Step-by-step explanation:

If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

y=kxz

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If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}

<em> </em>Substitute the value of <em>k</em>  into the expression. Then, the equation is:

y=\frac{2}{3}xz

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

y=k=\frac{2}{3}(7)(4)

y(7,4)=\frac{56}{3}

<em> </em>

5 0
2 years ago
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Which combination of integers can be used to generate the Pythagorean triple (5,12,13)
Kitty [74]

Answer:

x=3 and y=2

Step-by-step explanation:

The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:

\left \{ {{x^{2}-y^{2}=5}\atop {2xy=12}} \atop {x^{2}+y^{2}=13}}\right.

Solve the system of equations, and we get that the solution is x=3 and y=2.

Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2

3 0
3 years ago
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The perimeter of a rectangle is 140 feet. The length of the rectangle is 6 more than 2 times the width. What is the length of th
Alja [10]
The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)

The first equation can be written as
l - 2w = 6

So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146

Divide by 3 on both sides.
l = 48\frac{2}{3}

Your answer is 48\frac{2}{3}.
5 0
3 years ago
WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER!!!
Nata [24]

Answer:

Its b.

Step-by-step explanation:

m < 3 = m <  4  (vertical angles)

m < 1 = m < 5 ( alternate angles)

Therefore the triangles are similar.

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