3 years ago

Write and solve an equation to find the value of x.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer: y+44+68=180

Step-by-step explanation: y+44 and 68 are complementary angles so they add to equal 180

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

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3 years ago

Madame Dubois bought 20 pearl necklaces for $500. Becoming bored quickly, she sold 3/4 of them at $40 each. She sold the rest at

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$725

3/4 of 20 = 15 necklaces

15 x 40 = 600

The rest:

5 x 25 = 125

125 + 600

= 725

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3 years ago

Read 2 more answers