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2 years ago

Find the product of X^2 (4x - 3).

Mathematics

1 answer:

Verizon [17]2 years ago

8 0

x² ( 4x - 3)

Apply the multiplicative law of distribution.

x² × 4x - x² × 3

Multiply the monomial

4x³ - x² × 3

Multiply the monomial

4x³ - 3x² ==> Answer

Therefore, the correct option is "C".

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sandy has several pichters.2 pitchers hold 64 ounces each and 4 pichers hold 48 ounces each.how mant ounces can sandys pitcher h

vfiekz [6]

To answer this question you you start by writing the equation. (2*64)+(4*48)= Next, you answer the first parenthesis: 2 times 64... this is 128....now you have 128+(4*48)=... now you answer the next set of parenthesis.... 4 times 48....this is 192...now you have 128+192=.....this is 320...............So the answer to your question is sandys pitcher can hold 320 ounces alltogether.

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4 years ago

Assume that x is a variable that has been declared as a double and been given a value. Write an expression to compute the quarti

Vladimir [108]

Answer:

$x^{\frac{1}{4}}$

Step-by-step explanation:

x is a variable which has been declared of type double.

Then square root of x can be expressed as $\sqrt{x}$

The quartic root of a number is the square root of its square root.

In other words, quartic root of x can be expressed as $\sqrt{\sqrt{x}}$

This can be expressed equivalently as $\sqrt{x^{\frac{1}{2}}}$

$={x^{\frac{1}{4}}}$

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4 years ago

A welcoming center has a rectangular playground and a rectangular parking lot that are similar in shape. Each dimension of the p

Dovator [93]

Answer:

The area of the playground is 2.89 bigger than the area of the parking lot

8 0

3 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the