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3 years ago

Multiply: (3x - 5)(-x + 4)

Mathematics

2 answers:

eimsori [14]3 years ago

8 0

Answer:

What is the simplified product in standard form?

✔ –3 x2 + ✔ 17 x + ✔ –20

Step-by-step explanation:

-3, 17, -20

insens350 [35]3 years ago

3 0

Answer:

-3x²+17x-20

Step-by-step explanation:

When you apply the distributive property (which you did correctly), you simply multiply each number or variable in which you have to distribute it to (which again you wrote correctly) and then you add them all together.

(3x)(-x)=-3x²

(3x)(4)=12x

(-5)(-x)=5x

(-5)(4)=-20

Add those and you will get your answer. Hope this helped :)

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Explain how you would graph the line y = 2/3x + 3 using its slope and y-intercept.

Ivahew [28]

Answer:

Slope = 2/3 Y intercept +3

Step-by-step explanation:

Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.

Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.

The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).

Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.

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gtnhenbr [62]

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3 years ago

# 18 What is 5.6 less than<br>14.52

kramer

Answer:

8.92

Step-by-step explanation:

14.52 - 5.6 =

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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3 years ago

Can you do this question

Sauron [17]

Since it decreases 2.75 then it will give you the answer of 20.75

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