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2 years ago

Graph the line y = -3/4 +5

1 answer:

7 0

Answer: plot the y intercept at 5 on the y axis. Then from (0,5) count down 3 and to the right 4 to plot the next point at (4,2). Then kee doing that until you have enough pony’s to connect as a line.

Step-by-step explanation:

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In isosceles triangle ABC, AB=AC.If B=55, calculate A

den301095 [7]

Answer: ∠A = 70°

because ABC is an isosceles triangle and AB = AC

=> ∠B = ∠C = 55°

=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

4 0

3 years ago

Find the domain of the function shown. Write the answer in interval notation.

lara31 [8.8K]

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )

7 0

3 years ago

Solve the systems of equations by substitution. 2x+y=-2 3x-y=7

lukranit [14]

Answer:

To solve the system of equations by substitution:

2x+y=-2

3x-y=7

first solve for y:

2x+y=-2

y=-2x-2

Then plug ^^ equation for y in the other equation

3x-(-2x-2)=7

5x+2=7

5x=5

x=1

Then solve for y:

2(1)+y=-2

y=-4

Final answer is x = 1 and y = -4

Hope it helps!

5 0

2 years ago

How many pounds of $2.4/lb trail mix should a grocer combine with 5 lb of $1.5/lb trail mix to get $1.9/lb trail mix?

user100 [1]

4
1.5x5=7.5 + (2.4 x 4)
/9
=1.9

8 0

2 years ago