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3 years ago

If P(x) = 8 + 7x – 10x² represents the profit in selling a thousand Boombotix speakers, how

Mathematics

1 answer:

Helga [31]3 years ago

7 0

Answer:

350

Step-by-step explanation:

P(x) = 8 + 7x – 10x² = -10x² + 7x +8

The coefficient of x² is -10, the parabola has a maximum

x(max) = - (7 / 2 x (-10)) = 7 / 20

speakers should sold: 1000 x 7/20 = 350

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Inga [223]

I just guessed and it is 108

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3 years ago

Given that √3 = 1.7321 , find correct to 3 places of decimals , the value of √192 - 1 / 2√48 - √75

Flauer [41]

Step-by-step explanation:

the value of root three is given already so the question is asking you to round it of to the nearest 1000 which means there should be three numbers after the decimal point.

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2 years ago

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

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3 years ago

14 more than the prouduct of the three and nine

Varvara68 [4.7K]

41
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Assoli18 [71]

y = - 4x + 13

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