17 1 point Write the equation of the line that passes through the points (-2.3) and (-2.5).

Select the two values of x that are roots of this equation 3x^2 + 1 =5x

Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

$3x^{2} + 1 = 5x$ ⇒ $3x^{2} -5x + 1 = 0$

(2) Divide the whole equation by 3

$3x^{2} -5x + 1 = 0$ ⇒ $x^{2} -\frac{5}{3}x + \frac{1}{3}= 0$

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

$\frac{-b±\sqrt{b^{2} - 4ac}}{2a}$ (1)

In this case, a = 1, b = $-\frac{5}{3}, c= \frac{1}{3}$

Substituiting a, b and c in equation (1) We get:

$\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)}$ (1)

The two solutions are:

x = 1.434 and x=0.232

8 0

3 years ago

The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta

dalvyx [7]

Answer:

15 games.

Step-by-step explanation:

Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?

Given: Admission fees= $1.25 per person.

Cost of each game played= $0.50.

Total Money, Latoya and Donnetta have is $10.

First lets find total admission fees both will pay.

∴ Total addmission fees= $Fees\ per\ person \times number\ of\ person$

Total addmission fees= $\$1.25\times 2= \$ 2.50$

Now, money remaining after paying admission fees.

Money remaining = $Total\ money - Admission\ fees$

∴ Money remaining = $\$10-\$2.5= \$ 7.5$

∴ Money remained to play video games is $7.5.

Next, finding the maximum number of games, both will be able to play.

As we know, each game will cost $0.50.

Total number of games played= $\frac{Money\ remaining}{Cost\ of\ each\ game}$

⇒ Total number of games played= $\frac{\$ 7.5}{\$ 0.5} = 15\ games$

∴ 15 games is the maximum number of games they will be able to play.

3 0

3 years ago

What is the volume of the entire figure? ____cm3

adelina 88 [10]

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

4 0

3 years ago

Hector earned $60 this week, which is 5 times the amount he earned last week. The model shows how much money he earned this week

Ede4ka [16]

It would be 5x?=60 because to find "?" you would need to divide 60 and 5. Since Hector earned 5 times what he did last week it would be modeled by 5 times "?"

6 0

3 years ago

Graph the equation Y =1.5^x

liberstina [14]

Answer:

The number being multiplied by

x

is the slope of the line. So, the slope of the line is calculated by rise/run. The rise is how up or down it goes from a certain point to another, and the run is how right or left it goes from a certain point to the other.

6 0

4 years ago

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