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MissTica
3 years ago
11

For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Need help with number 5 and number 6
Goshia [24]

Answer:

5 d) 9 1/3

6 d) 2

Step-by-step explanation:

Proportions:

5

7 ⇒ 4

BY ⇒3

BY = 7*4/3

BY = 28/3

28/3 = 27/3 + 1/3 = 9 1/3

BY = 9 1/3

6

12 ⇒ 3

8  ⇒ SX

SX = 3*8/12

SX = 2

7 0
3 years ago
I need help with geometry
nordsb [41]

Answer: The answer is C. because all biconditional statements are written w/ if and only if in statements. Hope this helps :)

Step-by-step explanation:

6 0
3 years ago
Carpet sells for $3 per square foot and will cost you $810 to recarpet your rectangular room. if your room is 18 feet long, how
raketka [301]
$810 ÷ 3 = 270 square feet
Area of the room is 270 square feet.

Area = 270 square feet,  length = 18 feet

Area = Length x Width
270 = 18 x width
Width = 280 ÷ 18
Width = 15 feet

The room is 15 feet wide.
4 0
2 years ago
For r=2+3sintheta find dy/dx and the slope of the tangent line to the curve
brilliants [131]
F(x)=2+3sin(theta)
f'(x)=3cos(theta)

To find the slope you need the value of theta. The general formula is:

y-f(xo)=f'(xo)-(x-xo)

8 0
3 years ago
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