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natima [27]
3 years ago
15

What is the slope-intercept equation for this

Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer:

The y-intercept is the point at which the line crosses the y-axis. Example (b) Graph 6x – 3y = 12. Instead of completing a table of values

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Write the limit as a definite integral on the interval [a, b], where ci is any point in the ith subinterval. Limit Interval lim
geniusboy [140]

Answer:

The corresponding definite integral may be written as

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x

The answer of the above definite integral is

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x = 98

Step-by-step explanation:

The given limit interval is

\lim_{||\Delta|| \to 0}  \sum\limits_{i=1}^n (4c_i + 11) \Delta x_i

[a, b] =  [-8, 6]

The corresponding definite integral may be written as

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x

\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x

Bonus:

The definite integral may be solved as

\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x \\\\\frac{4x^2}{2} + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\2x^2 + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\ 2(6^2 -(-8)^2 ) + 11(6 - (-8) \\\\2(36 - 64 ) + 11(6 + 8) \\\\2(-28 ) + 11(14) \\\\-56 +154 \\\\98

Therefore, the answer to the integral is

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x  = 98

5 0
3 years ago
A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
likoan [24]

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

7 0
2 years ago
Read 2 more answers
Which of the tables represents a function?<br><br> 1. Table A 2. Table B 3. Table C 4. Table D
rosijanka [135]

Table D because the  x values don’t repeat

7 0
3 years ago
Read 2 more answers
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)
Rina8888 [55]

Answer:

g(x)=x^2+4 and f(x)=\frac{8}{x}


Step-by-step explanation:

If we want to express y as y=f(g(x)), this means that put the function g(x) into x of f(x) to get y.

The function y is given as y=\frac{8}{x^{2}+4}

<u>So we need to figure out a function g(x) that we can put into another f(x) to get y</u>

If we let g(x)=x^2+4 and f(x)=\frac{8}{x}, we can clearly see that putting g(x) into x of f(x) will give us  \frac{8}{x^2+4}, which is y.


Hence g(x)=x^2+4 and f(x)=\frac{8}{x}

3 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x+y=34x+y=3?
zlopas [31]

Step-by-step explanation:

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

4x+ y= 3

y= -4x + 3

slope = -4

the new slope = 1/4

the equation formula y= mx+b

m = new slope

y = (x/4) + b

From the point given (4,-3)

y = -3. x = 4

-3 = 1 + b

b = -4

the equation =

y =  \frac{1}{4} x - 4

8 0
2 years ago
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