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skelet666 [1.2K]
3 years ago
14

Y = 3x + 4 Y = 3x + 7

Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

y-7/ 12y+3

Step-by-step explanation:

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The distance from the center of a round horse corral to the fence is 25 yards. What is the area of the horse corral?
Ksivusya [100]

Answer:

625 pi (no approximation)or 1962.5(approximation)

Step-by-step explanation:

You do pi times radius squared.

7 0
3 years ago
How to make an improper fraction into a proper fraction?
e-lub [12.9K]
Divide the numerator by the denominator and any remaining values go back above the denominator. 

Example: 

17 / 4 is an improper fraction. To turn it into a proper fraction we do 17 divided by 4. 

17 / 4 is 4 with a remainder of 4. So we put the 4 on the outside and the 1 back above the denominator, which is 4. 

It ends up looking like this: \frac{17}{4} = 4 \frac{1}{4}
7 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
The function is defined by f(x)= x^2+3x-10
yaroslaw [1]
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side 
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula 
the second one is the smallest
8 0
3 years ago
The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years
Paha777 [63]

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

n=y^x\\log_yn=x

which means that

.66667=.92^n\\=log_{.92}.66667

compute this and get

4.867

round this up to 5

4 0
2 years ago
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