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3 years ago

6

Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

1 answer:

Leviafan [203]3 years ago

6 0

Is there any picture we can work with?

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What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

Step-by-step explanation:

$2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\$

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

3 0

2 years ago

Mr.Nguyen saves $120 of his income of 800.00 what percent of his income does Mr.Nguyen save?

zhuklara [117]

Nguyen saves 15% of his income

<h3>How to determine the percentage?</h3>

The given parameters are:

Savings = $120

Income = $800

The percentage saved is calculated as:

Percentage = Savings/Income * 100%

This gives

Percentage = 120/800 * 100%

Evaluate

Percentage = 15%

Hence, Nguyen saves 15% of his income

Read more about percentage at:

brainly.com/question/843074

#SPJ1

3 0

2 years ago

Please write an equation

Katen [24]

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = $\frac{5-2}{4-0}$ = $\frac{3}{4}$

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = $\frac{3}{4}$ x + 2 ← equation of line

4 0

2 years ago

Please help me i need it

kakasveta [241]

15 is the answer because 8-5 is 3 and 3 and 4 is 12 so 12 plus 3 is 15

3 0

2 years ago

Read 2 more answers

HELP DUE IN 15 MINS!

Stells [14]

Answer:

n = 18

Step-by-step explanation:

<u>Sum of interior angles of a polygon:</u>

(n - 2)180 = 160n
180n - 360 = 160n
20n = 360
n = 18

8 0

3 years ago