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Elodia [21]
3 years ago
10

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

ts) 4x2 + 5x + 3 the quantity 4 times x to the 2nd power plus 5 times x plus 3 all over x 4x2 + 5x2 + 3x 4x4 + 5x3 + 3x2
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:   4x² + 5x + 3

<u>Step-by-step explanation:</u>

\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}

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The Knicks and Nets have a total 30 players.
Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

K + N = 30

20K + 10N = 500

where K is the number of Knicks players, and N is the number of Nets players.

We can substitute the first equation into the second and solve for K

K + N = 30

N = 30 - K

20K + 10N = 500

20K + 10(30 - K) = 500

20K + 300 - 10K = 500

10K + 300 = 500

10K = 200

K = 20

5 0
3 years ago
For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo
slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem  when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of  the demand linear equation . It can be computed through the formula

b=\frac{y2-y1}{x2-x1}.  equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

b=\frac{19-11}{1-3} =\frac{8}{-2}

b=-4

Now we can find the value of  intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0
3 years ago
13. A sprinkler system can shoot water at a distance of 15 yards. It is set up to rotate
egoroff_w [7]

Answer:

about two feet

Step-by-step explanation:

4 0
3 years ago
Which values of a and b in the exponential function y = a times b Superscript x would result in the following graph? On a coordi
galina1969 [7]

Answer:

a =-3    b =2

Step-by-step explanation:

Given

y = ab^x

(x_1,y_1) = (0,-3)

Required

Find a and b

Substitute (x_1,y_1) = (0,-3) for x and y in y = ab^x

-3 = ab^0

-3 = a * 1

-3 = a

Rewrite as:

a =-3

The above implies that (a) is correct;

Hence:

a =-3    b =2

So, the equation is:

y = -3(2)^x

6 0
2 years ago
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Fofino [41]

Answer:

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Step-by-step explanation:

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