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3 years ago

Add the polynomials. (7y^2+2y-9)+(-3y^2-y) = ?

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

$(7 y^{2} + 2y - 9) + (-3 y^{2} -y) \\ 
 \\ 
= 4y^{2} + y - 9$

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Can someone hep me on this

Pavel [41]

5x+4y= $35
x= daisies and y=roses
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7 0

3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

A force of 200 Newtons is applied to a machine to lift a 1,000 Newtons load. What is the MA of the machine?

vovikov84 [41]

Answer:

Step-by-step explanation:

The mechanical advantage of a machine is the ratio of the force that you need to input to how much is outputted. 200:1000=1:5, meaning that the mechanical advantage is 5. Hope this helps!

3 0

3 years ago

Hey hey u guyss 60 pointsss -6.1(-4.1) +6.8= btw hurry im timed plss :)

xenn [34]

Answer:

31.81

Step-by-step explanation:

-6.1 * -4.1 = 25.01

+ 6.8 = 31.81

4 0

2 years ago

Read 2 more answers

Find the slope line (-2 -1) and (-4 -7)

Alenkinab [10]

Answer:

$m=3$

Step-by-step explanation:

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Here

$(x_1, y_1) = (-2, -1) \ \ and \ \ (x_2, y_2) = (-4, -7)$

Slope can be calculated as

$m=\frac{-7-(-1)}{-4-(-2)}$

$m= \frac{-6}{-2} \\m=3$

7 0

3 years ago