ASAPP PLEASEESolve the following equation algebraically:
x2 = 20
b. -3.97, 3.97
c. -10, 10
d. -4.47, 4.47


Answer 1

Answer: if using the quadratic formula it is D :)

hope this helps

Step-by-step explanation:

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A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.



A point travels East 3 spaces and South 8 spaces.

Algebraic equation

P'(x,y) = (x+3, y-8)

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

P'(x,y) =P(x,y) +T(x,y)(1)


P(x,y) - Initial position of the traveller, dimensionless.

T(x,y) - Translation vector, dimensionless.

P'(x,y) - Final position of the traveller, dimensionless.

Let suppose that y > 0 represents the number of steps to the north, and x> 0, the number of steps to the east.

If we know that P(x,y) =(x,y) and T(x,y) = (3, -8), then the resulting equation is:

P'(x,y) = (x,y) +(3,-8)

P'(x,y) = (x+3, y-8)

A university financial aid office polled a random sample of 528 male undergraduate students and 651 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 295 of the male students and 463 of the female students said that they had worked during the previous summer. Give a 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer.A) Find the values of the two sample proportions (round to three decimals)B) Find the critical value that should be used in constructing the confidence interval.C) Find the value of the standard error. Round your answer to three decimal places.D) Construct the 95% confidence interval. Round your answers to three decimal places.



Step-by-step explanation:

A. Use your calculator to approximate ∫^ b_0 e^-0.00001x dx for b=10, 50, 100 and 1000.b. Based on your answers to part a, does ∫^[infinity]_0 e^-0.00001 dx appear to be convergent or divergent?
c. To what value does the integral actually converge?



Step-by-step explanation:

We are to integrate the function

e^-0.00001x from 0 to b for different ascending values of x.

\int e^-0.00001x = -10^5 e^-0.00001x

Now we substitute the limits

When b =10

I = integral value = -10^5 e^-0.00001*10

b =50, I = -10^5(e^-0.00001*50-1)

b =100, I = -10^5( e^-0.00001*100-1)

b =1000 I=  -10^5 (e^-0.00001*1000-1)

b) As b increases exponent increases in negative, or denominator increases hence when b becomes large this will be a decreasing sequence hence converges

c) Converges to  -10^5 (0-1)=10^5

Consider the function below. f(x) = 6x tan x, −π/2 < x < π/2 (a) find the vertical asymptote(s). (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)



x = −π/2, x = π/2  

Step-by-step explanation:

Given f(x) = 6x tan x and the interval −π/2 < x < π/2, we know that tan x has asymptotes in both extremes of the interval. To find the vertical asymptotes we evaluate the limit in the x-values we think asymptote can appear, in this case for x = −π/2 and x = π/2.

\lim_(x \to\ (-\pi/2)-) 6x * tan x=

=\lim_(x\to\ (-\pi/2)-) 6x * \lim_(x\to\ (-\pi/2)-)tan x=

=-3 \pi * -\infty =\infty  

\lim_(x\to\ (\pi/2)+) 6x * tan x=

=\lim_(x\to\ (\pi/2)+) 6x * \lim_(x\to\ (\pi/2)+)tan x=

=3 \pi * \infty =\infty

Then, x = −π/2  and x = π/2  are vertical asymptotes.

Answer: Does not exist.

Step-by-step explanation:

Since, given function,  f(x) = 6x tan x, where −π/2 < x < π/2.

⇒ f(x) = (6x sin x)/(cosx)

And, for vertical asymptote,  cosx= 0

⇒ x = π/2 + nπ where n is any integer.

But, for any n x is does not exist in the interval ( -π/2, π/2)

Therefore, vertical asymptote of f(x) where −π/2 < x < π/2 does not exist.

Julie started solving the equation 3x=4+2(3-x)




Step-by-step explanation:


Distribute 2 to 3 and x


Add 2 to both side of the equal sign and combine 4 and 6


divide both sides by 5


Four friends are sharing 7 pizzas equally.

How much pizza will each person get?



1.75 or 1 3/4 pieces of pizza per person

Step-by-step explanation:


Divide 4 by 7 and you get...

1 3/4 or 1.75

I hope this helps :)

If it is 8 slices per pie.

8*7= 56

56 total slices.
———————- = 14 slices per friend

Answer: 14 slices each.