2 years ago

Which of the following is an extraneous solution of StartRoot 4 x + 41 EndRoot = x + 5? x = –8 x = –2 x = 2 x = 8

Mathematics

2 answers:

larisa [96]2 years ago

8 0

Answer:

Step-by-step explanation:

took test

Finger [1]2 years ago

5 0

Answer:

-8

Step-by-step explanation:

when you solve for x you get -8 but when you pkug it back in both sides are not equal, making it extranious

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Which quadratic function has Vertex (-1,4) and passes through (4,19) <br> HELP

hichkok12 [17]

Answer:

$f(x)=\frac{3}{5}(x+1)^2+4$

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

$f(x)=a(x-h)^2+k$

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

$f(x)=a(x+1)^2+4$

The parabola also passes through (4,19) hence it must satisfy its equation.

$19=a(4+1)^2+4$

$19-4=a(5)^2$

$15=25a$

We divide both sides by 25 to get:

$a=\frac{15}{25}= \frac{3}{5}$

Hence the quadratic function is:

$f(x)=\frac{3}{5}(x+1)^2+4$

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Answer:

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Step-by-step explanation:

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