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3 years ago

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Mathematics

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-Dominant- [34]3 years ago

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The 2nd and 3rd options

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Find the x-intercepts for the parabola defined

Inessa05 [86]

Answer:

<h2>Explanation:</h2>

In this exercise we have the following equation of a parabola:

$y=2x^2-12x+10$

So our goal is to find the x-intercepts. We can find this setting $y=0$ , so:

$2x^2-12x+10=0$

Taking 2 as common factor:

$2(x^2-6x+5)=0$

Hence this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

The sum is -6
The product is 5

Those two numbers are:

-1 and -5

Because:

Sum: -6
Product: 5

So this equation can be written as:

$x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-1 \\ b=-5 \\ \\ x^2-14x+24=(x-(-1))(x-(-5))=0 \\ \\ (x+1)(x+5)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=-1 \ and \ x=-5}$

<h2>Learn more:</h2>

Solutions to quadratic equation: brainly.com/question/13742278#

#LearnWithBrainly

5 0

3 years ago

What is the slope of the line that goes through (2,6) and (4,5)

Lesechka [4]

Answer:

-1/2

Step-by-step explanation:

You find the change in the y coordinates. 6 -> 5 is -1. Now the same for the x. 2 -> 4 is +2. now place them in a fraction with the y/x -1/2. if both were negative then you would just cancel out the negatives.

3 0

3 years ago

it cost ruby $4 dollars to send 48 messages.what was her cost of texting in texts per dollar?express your answer in simplest for

andrew-mc [135]

Answer:

$0.83

Step-by-step explanation:

$4 = 48x (x = number of text messages)

$4 ÷ 48 = x (divide by 48 on both sides)

0.83 = x

7 0

2 years ago

Read 2 more answers

An investment declines in value by 3% each month. By what percentage does its value decline in a year ?

babunello [35]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12
\end{cases}
\\\\\\
\left(1+\frac{0.03}{12}\right)^{12}-1\implies 1.0025^{12}-1~~\approx ~~ 0.03041596
\\\\\\
r\%=0.03041596\cdot 100\implies r\approx\stackrel{\%}{3.04}$

6 0

2 years ago

This morning, Manny took a history test. There were 50 multiple-choice problems on the test

Maurinko [17]

Answer:

He got 5 right

Step-by-step explanation:

10% = 0.1

50(0.1) = 5

3 0

2 years ago

Read 2 more answers