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Kisachek [45]
3 years ago
10

Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n

ame the endpoints of the subintervals x0, x1, x2, x3 and x4 , with x0 on the left and x4 on the right, find the values of these endpoints and list them in ascending order. (Enter your answers in a comma-separated list.)
Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer:

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

d=7-(-5)=12.

Now, we divide d by 4 and obtain \frac{d}{4}=\frac{12}{4}=3

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4

So,

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

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fgiga [73]
The question is:

19. if g(x) = 3 + x + e^x, find the inverse function of g (4).

Solution:

1) Put the equation as y = 3  + x + e^x

2) Solve for x = > x + e^x = y - 3

3) switch x and y => y + e^y = x - 3

4) y is the inverse

5) find y for the value requested (x = 4)

=> y + e^y = 4 - 3

=> y + e^y = 1

the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.

Answer: 0.
6 0
3 years ago
What two numbers have a sum of 217 and a difference of 85?
KiRa [710]
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3 years ago
N-1-9n <br> simplify this please?
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Answer:

-8n-1

Step-by-step explanation:

n-1-9n=n-9n-1=-8n-1

7 0
2 years ago
The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his
riadik2000 [5.3K]
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3 years ago
Read 2 more answers
What is the equation of the circle shown?
Mkey [24]

Answer:

(x + 4)² + (y - 2)² = 8

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 4, 2 ) , then

(x - (- 4))² + (y - 2)² = r²

(x + 4)² + (y - 2)² = r²

CA is the radius of the circle

To find r use the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)

r = \sqrt{(-2+4)^2+(4 -2)^2}

  = \sqrt{2^2+2^2}

  = \sqrt{8} , then r² = (\sqrt{8} )² = 8

Then

(x + 4)² + (y - 2)² = 8 ← equation of circle

5 0
2 years ago
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