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slamgirl [31]
3 years ago
5

Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is

the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?
A.
P(x) = 2x2 + 28x - 414
B.
P(x) = 2x2 + 102x + 1,288
C.
P(x) = 2x2 + 110x + 1,472
D.
P(x) = 2x2 + 74x + 644
Mathematics
2 answers:
tatuchka [14]3 years ago
8 0

Answer:

  D.  2x² +74x +644

Step-by-step explanation:

The first number can be written as (x +23).

The second number can be written as 2(x+23)-18 = (2x +28).

The product of these numbers can be found using the distributive property:

  P(x) = (x +23)(2x +28) = x(2x +28) +23(2x +28)

  = 2x² +28x +46x +644 . . . . . . . already you know the correct answer choice

  P(x) = 2x² +74x +644

SashulF [63]3 years ago
3 0

Answer:

I got P(x) = 2x^2 + 28x - 414

A

Step-by-step explanation:

I hope this helps you!! Have a lovely day

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Aleksandr [31]
In order to answer the question, we simply substitute the value of p and q to the given expression and solve. We do as follows:

<span>P^2q^2+pq–q^3–p^3 
</span>0.5^2(-0.5)^2+0.5(-0.5)–(-0.5)^3–(0.5)^3
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Hope this answers the question. Have a nice day. 
5 0
3 years ago
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SashulF [63]

Answer:

Step-by-step explanation:

ans is c) f(x) is a polynominal function. The degree is 5 and the leading coefficient is -7.

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the only ans that follows the above is a) f(x)=7x^9-3x^2-6

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5 0
3 years ago
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Categorize the graph as linear increasing, linear decreasing, exponential
Artist 52 [7]

Answer:

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Step-by-step explanation:

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3. Rewrite -2x + 3y = 6 in slope intercept form.​
zaharov [31]

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Further explanation:

The standard slope-intercept form is:

y=mx+b

Given equation is:

-2x+3y=6

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

<u>Adding 2x on both sides</u>

-2x+3y+2x=6+2x\\3y=2x+6

<u>Dividing both sides by 3</u>

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<u>Simplifying</u>

y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

4 0
3 years ago
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