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3 years ago

14

Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas,

and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?

1 answer:

Alina [70]3 years ago

5 0

Error please try again

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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What us the value of the discriminant of the quadratic equation -2^2=-8x+8 and what does its value mean about the number of a re

svlad2 [7]

ANSWER

The discriminant is zero.

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EXPLANATION

The given quadratic equation is:

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We rewrite this in the form;

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The discriminant is given by;

D=b² - 4ac

That is:

$D = {8}^{2} - 4( - 2)( - 8)$

$D = 64 - 64 = 0$

Therefore the discriminant is zero.

This tells us that the quadratic equation has one real root.

In order words, the given quadratic equation has a repeated real root.

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