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jeka94
3 years ago
11

Evaluate the function: f(x)= 3x - 5; f(-1)

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

-8

Step-by-step explanation:

f(x)=3x-5

f(-1)=3(-1)-5=-3-5=-8

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A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence
REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}

For second square:

Let y be the side of second square

A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}

Perimeter of First Square:

P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet

Perimeter of Second Square:

P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
3 years ago
Which pair of expressions below are equivalent? a. −4−8 and 4+8 b. −4−8 and −4+8 c. −4−8 and −4−(−8) d. −4−8 and −4+(−8)
omeli [17]

Answer:

d. −4−8 and −4+(−8)

Step-by-step explanation:

+ - is equivalent to -

6 0
3 years ago
Read 2 more answers
Simplify.<br> (w5)<br> I need this ASAP please
Ilya [14]
I’m pretty sure it’s w^25
5 0
3 years ago
Please Help:<br> In Δ ABC, sin A= 88, sin B= 42, and a =17 , find the length of b.
enyata [817]

Answer:

11.4 units

Step-by-step explanation:

a/sinA = b/sinB

17/sin(88) = b/sin(42)

b = sin(42) × 17/sin(88)

b = 11.3821540088

6 0
3 years ago
Nancy is replacing the mat on her trampoline. The circular mat has a diameter of 18 feet. what is the area of the trampoline mat
hjlf
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A = pi x r^2

A = 3.14 x 81
7 0
2 years ago
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