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3 years ago

Which expression is a difference of cubes?

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

Answer:

Option 4 is correct.

Step-by-step explanation:

Given the following options

we have to choose the difference of cubes.

Option 1:

$9w^{33}-y^{12}$

$9(w^{11})^{3}-(y^4)^3$

which is not the difference of cubes

Option 2:

$18p^{15}-q^{21}$

$18(p^5)^3-(q^7)^3$

which is not the difference of cubes

Option 3:

$36a^{22}-b^{16}$

$(6a^{11})^2-(b^8)^2$

which is the difference of square

Option 4:

$64c^{15}-a^{27}$

$(4c^5)^3-(a^9)^3$

which is the difference of cubes.

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You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr

hoa [83]

At the end of the first full month the interest acquires is $ 1.30.

Step-by-step explanation:

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

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4 0

4 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

Step-by-step explanation:

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$