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3 years ago

14

Twice a number minus a second number is –1. Twice the second number added to three times the first number is 9. Find the two num

bers.

1 answer:

forsale [732]3 years ago

6 0

Answer:

n= 1

x= 2

Step-by-step explanation:

the equations are 2n - x = -1

2x + 3n = 9

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%E2%88%923x2%E2%88%9211x%2B7" id="TexFormula1" title="f(x) = −3x2&minus

bixtya [17]

Answer:

$x= \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: \\x = \frac{ - 11 - \sqrt{205} }{6}$

Step-by-step explanation:

$- 3x {}^{2} - 11x + 7 = 0 \\ 3x {}^{2} + 11x - 7 = 0$

here,

$a = 3 \\ b = 11 \\ c = - 7$

now,

$D = b {}^{2} - 4ac \\ = (11) {}^{2} - 4(3)( - 7) \\ = 121 + 84 \\ = 205 > 0 \\$

so,

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac} }{2a} \\ \\ = \frac{ - 11 + - \sqrt{205} }{2(3)} \\ = \frac{ - 11 + - \sqrt{205} }{6} \\ \\ = \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: = \frac{ - 11 - \sqrt{205} }{6}$

4 0

3 years ago

Find the area of the figure. Sides meet at right angles. No links please.

ss7ja [257]

Answer:

40 ft²

Step-by-step explanation:

Divide the figure into 2 rectangles and find their areas.

The area of the smaller rectangle

= 3 × 4

= 12 ft²

The area of the larger rectangle

= (8-4) × 7

= 28 ft²

The area of the figure

= 12 + 28

= <u>40 ft²</u>

4 0

3 years ago

Sales tax on Fletchburg is 7.5% What is the sales tax on an item bought in a store there which has a pre-tax price of $42?

vodka [1.7K]

Answer:

3.15

Step-by-step explanation:

6 0

3 years ago

Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4 Select each correct answer.

natali 33 [55]

The answer is a, b, and c. as is click on everyone except for the ordered pair is false. hope this helps im i k12 aswell. so sorry im late but i hope this help other students.

4 0

3 years ago

Read 2 more answers

Clara's utility function u(x,y)=(x+2)(y+1). write n equation for clara's indifference curve that goes through the point (x,y)=(2

professor190 [17]

we are given equation as

$u(x,y)=(x+2)(y+1)$

clara's indifference curve that goes through the point (x,y)=(2,8)

we can plug x=2 , y=8

$u(x,y)=(2+2)(8+1)$

$u(2,8)=36$

now, we can set it equal

we get

$36=(x+2)(y+1)$

now, we can solve for y

$\frac{\left(x+2\right)\left(y+1\right)}{x+2}=\frac{36}{x+2}$

$y+1=\frac{36}{x+2}$

$y=\frac{36}{x+2}-1$ ..........Answer

7 0

4 years ago