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kodGreya [7K]
2 years ago
8

Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem

Mathematics
1 answer:
Mariana [72]2 years ago
5 0
Pemdas and other math based things
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Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.
leonid [27]

If

\displaystyle g(x) = \int_0^x f(t) \, dt

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

\displaystyle g(0) = \int_0^0 f(t) \, dt = 0

since the integral of any function over a single point is zero;

\displaystyle g(4) = \int_0^4 f(t) \, dt = 8

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

\displaystyle g(8) = \int_0^8 f(t) \, dt = 0

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

5 0
3 years ago
19. GEOMETRY CONNECTION
Paul [167]
The cylinder is 7.0771 centimeters tall

6 0
3 years ago
What is the oblique asymptote of gx) = x2-3x-5?
oee [108]

Answer:

B) y=x-5

Step-by-step explanation:

Because g(x)=\frac{x^2-3x-5}{x+2} simplifies to x-5+\frac{5}{x+2}, we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be y=x-5. See the attached graph for a visual.

3 0
3 years ago
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is
Marrrta [24]
 Because the pattern is a Geometric sequence.
8 0
3 years ago
Read 2 more answers
Every workday, Zoe bikes 2.6 miles to work along city streets. On the way back, she likes to take a shortcut through a park, so
snow_lady [41]

Answer:

I'm pretty sure it's 7.1 miles in a week

8 0
3 years ago
Read 2 more answers
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