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earnstyle [38]
3 years ago
6

Which expression is equivalent to (4x^4/2x^3)

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

2x

Step-by-step explanation:

Given

\frac{4x^4}{2x^3}

= \frac{4}{2} × \frac{x^4}{x^3}

= 2 × x^{(4-3)}

= 2x

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
PLEASE ANSWER!!
s344n2d4d5 [400]
D
{x}^{2}  + 2xy \\  { ( - 3)}^{2}  + 2( - 3)(5) \\ 9 + 2( - 15) \\ 9 + ( - 30) \\  - 21
7 0
3 years ago
How do you solve these
IRINA_888 [86]
In the first equation, you can tell that the x's are being multiplied by 3 to get to the y's so the blank will be 9. The second table would not be a function since all the x values are not being multiplied by the same number to get the y value. Hope this helps!

4 0
3 years ago
A publisher needs to send many books to a local retailer each small box can hold 20 books
Bess [88]
Is there any other number or is it algebra
3 0
2 years ago
Which is the solution to the system of equations? y=−3/2x−11/2; 6x+y=−4
cupoosta [38]

Answer:

x= 1/3  and y=−6

Step-by-step explanation:

If you want step by step explanation you can get your explanation from

https://www.mathpapa.com And just type that answer in where it says what do you want to  calculate? type it in that box and it give you step by step but i gave you the answer up top you just need the explanation the explanation is hard to type in here that's why i have you that website :)

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3 years ago
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