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2 years ago

Determine the number of real solutions of -2x2 + 5x - 3 = 0.

Mathematics

1 answer:

andrew11 [14]2 years ago

4 0

-2x^2 + 5x -3 =0

Find the discriminate:

In the given formula a = -2, b = 5 and c = -3

The discriminate is found using the formula b^2 - 4(ac)

Replace the letters with their values:

5^2 - 4(-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2

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-9<2x+1<5<br><br> A. -5 B. -4 C. 4>x>-3<br> D. 5>x>-2

Lilit [14]

Answer:

Step-by-step explanation:

- 9 < 2x + 1

- 10 < 2x

X > - 5

2x + 1 < 5

2x < 4

X < 2

4 0

1 year ago

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

3 years ago

May runs10/4 miles everyday after school .Beth says that she runs farther then May everyday 5/2 miles after school is her correc

Shalnov [3]

They run an equally amount of time because 10/4 = 2 and 1/2 and 5/2 = 2 and 1/2

5 0

2 years ago

Picture question middle school math

ludmilkaskok [199]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about</h3>

area of triangles
area of rectangle
PEMDAS

<h3>tips and formulas:</h3>

rectangle opposite sides are equal
area of rectangle:l×w
area of triangle:½×h×b

<h3>let's solve:</h3>

the area of the rectangle is

4×7 in²

28 in²

the area of above triangle is

½×6×7 in²

3×7 in²

21 in²

the area of left side triangle is

½×5×4 in²

2×5 in²

10 in²

therefore,

the area of the polygon is

28+21+10 in²

6 0

2 years ago

Change the equation to slope intercept form and identity the slope and y-intercept -8x+2y=6

gulaghasi [49]

The answer is:

$y=4x+3$

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

2. Therefore, you must solve for <em>y</em>, as following:

$-8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3$

$m=4\\b=3$

8 0

2 years ago

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