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Nimfa-mama [501]
3 years ago
14

Can someone help. Please!

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

Step-by-step explanation:

a. 110°

b. 70°

c. 110°

d. 70°

e. 110°

f. 70°

g. 110°

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Find (f-g)(x) for the following functions. f(x) = 12x + 20 g(x) = –11x2 + 10x + 33
IRINA_888 [86]

Answer:

11x2 + 2x-13

Step-by-step explanation:

We must build the new function f-g, which turns to be a sum between polynomials.

f(x)-g(x)= 12x+20 + 11x2- 10x-33

f(x)-g(x)= 12x+20 + 11x2- 10x-33

f(x)-g(x)= 11x2 + 2x-13

3 0
2 years ago
Read 2 more answers
The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
3v+4(v-2)= -29 solve for v​
Lesechka [4]

Answer:

v = -3

Step-by-step explanation:

1) Expand.

3v + 4v - 8 = -29

2) Simplify 3v + 4v - 8 to 7v - 8.

7v - 8 = -29

3) Add 8 to both sides.

7v = -29 + 8

4) Simplify -29 + 8 to -21.

7v = -21

5) Divide both sides by 7.

v = -21/7

6) Simplify 21/7 to 3.

v = -3

4 0
2 years ago
Help asap!!!!!!!!!!<br><br> Properties of exponents <br><br> Simplify
maksim [4K]

Answer:

C) 4a^{6}b

Step-by-step explanation:

\frac{(4b^{3} 3a^{4}b^{2})}{3a^{-2} b^{4}} Copy the original equation

\frac{12a^{6}b^{5}}{3b^{4} } Combine like terms

\frac{12a^{6}b}{3} Simplify the b, then divide by 3

4a^{6}b

If this answer is correct, please make me Brainliest!

4 0
3 years ago
The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
blondinia [14]

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

4 0
2 years ago
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