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2 years ago

Which of the following is equivalent to (x+3)(4x^2+5) ?

Mathematics

1 answer:

Yuki888 [10]2 years ago

8 0

Answer:

c. (x+3)(4x2)+(x+3)(6) (see the original solution on the bottom)

Step-by-step explanation:

Solve for x over the real numbers:

(x + 3) (4 x^2 + 5) = 0

Split into two equations:

x + 3 = 0 or 4 x^2 + 5 = 0

Subtract 3 from both sides:

x = -3 or 4 x^2 + 5 = 0

Subtract 5 from both sides:

x = -3 or 4 x^2 = -5

Divide both sides by 4:

x = -3 or x^2 = -5/4

x^2 = -5/4 has no solution since for all x on the real line, x^2 >=0 and -5/4<0:

Answer: x = -3

____________________________

Solve for x over the real numbers:

2 (x + 3) (2 x^2 + 3) = 0

Divide both sides by 2:

(x + 3) (2 x^2 + 3) = 0

Split into two equations:

x + 3 = 0 or 2 x^2 + 3 = 0

Subtract 3 from both sides:

x = -3 or 2 x^2 + 3 = 0

Subtract 3 from both sides:

x = -3 or 2 x^2 = -3

Divide both sides by 2:

x = -3 or x^2 = -3/2

x^2 = -3/2 has no solution since for all x on the real line, x^2 >=0 and -3/2<0:

Answer: x = -3

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Haha number one is 3 and two is 2

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2 years ago

If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i

hoa [83]

Answer:

$z=-2.33$

And if we solve for a we got

$a=48000 -2.33*5500=35185$

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

$X \sim N(48000,5500)$

Where $\mu=48000$ and $\sigma=5500$

And we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.99$ (a)

$P(X$ (b)

We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-2.33$

And if we solve for a we got

$a=48000 -2.33*5500=35185$

And for this case the answer would be 35185 the lowest 1% for the salary

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3 years ago

The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cm.

kolezko [41]

Answer:

area is 56

Step-by-step explanation:

4 0

3 years ago

1. Which would be a more helpful for solving the system: adding the two equations or subtracting

ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

$\frac{2x+1}{2y}=7\\\\$

Equation 2:

$\frac{6x-1}{2y}=5$

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y$

Now for the second equation:

$\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y$

Now subtracting equation 2 from equation 1

$12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y$

now insert this value of y into any equation

lets insert it into equation 1

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375$

5 0

3 years ago

Abraham just accepted a new job at consulting firm that pays $47,500 during the first year, with an annual increase of 7% per ye

gladu [14]

Answer:

64,125 I think

Step-by-step explanation:

7%x 5 years =35%

35% of 47, 500 is 16625

16625 + 47,500=64,125

5 0

2 years ago

Read 2 more answers