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3 years ago

What is the answer to y=3x-1/5

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Standard form: -3x +5y= -1

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Evaluate using <br> Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

4 0

3 years ago

Ramu and ravi borrowed rs 8000

Phoenix [80]

Answer: Rs. 11,520

Step-by-step explanation:

As the method of compounding is not stated, the default of simple interest will be used.

Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.

Formula is:

Amount owed = Amount borrowed * ( 1 + rate * time)

= 8,000 * ( 1 + 8% * 5.5 years)

= 8,000 * 1.44

= rs 11,520

4 0

2 years ago

Find the discriminant of each quadratic equation then state the number and type of solutions

wariber [46]

N=3
Because 6+6=12
Hope this helps

3 0

3 years ago

What is the area of the trapezoid?

ratelena [41]

Answer:

29.5 inches squared

Step-by-step explanation:

The formula for the area of a trapezoid is $\frac{base1 + base2 * height}{2}$ ,

so base1 = 14 inches and base2 = 30 inches

since there is a right angle, you know that the height must equal the length of the left side, so the height = 15 inches

then, 14+30+15=59 and 59/2=29.5

therefore, your answer would be 29.5 inches squared

7 0

2 years ago

Help ASAP please!!!!!!!!!

bagirrra123 [75]

Answer:

pls just give me these points my account got hacked and I have -47 points when I had 570

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers