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3 years ago

14

For the function y = f(x), what is the ordered pair for the point on the graph when x = p + 1? (3 points) (x, f(p)) (x, p + 1) (

p + 1, f(p + 1)) (p + 1, f(p))

1 answer:

JulijaS [17]3 years ago

7 0

The answer is (<span>p + 1, f(p + 1))</span>

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What is the value of x?<br><br> x = ___

gregori [183]

Answer:

10

Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

$\frac{12}{2x+1}=\frac{8}{x+4}$

To solve for x, cross multiply:

12(x+4) = (2x+1)(8)

12x + 48 = 16x + 8

48 = 4x + 8

40 = 4x

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3 years ago

10. Write (2x + 1)(x - 3)(x - 2) in standard form.

Leto [7]

Answer:

$2x^3-9x^2+7x+6$

Step-by-step explanation:

The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.

$(2x+1)(x-3)(x-2)$

Distribute,

$(2x+1)(x-3)(x-2)$

$((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)$

Simplify,

$((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)$

$(2x^2-6x+x-3)(x-2)$

$(2x^2-5x-3)(x-2)$

Distribute,

$(2x^2-5x-3)(x-2)$

$(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)$

Simplify,

$(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)$

$2x^3-5x^2-3x-4x^2+10x+6$

$2x^3-9x^2+7x+6$

This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.

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3 years ago

Solve the system of equations below.

ZanzabumX [31]

Answer: C) No solution

Let’s solve this. First we need to put the first equation into y=mx+b form. Let’s do this now.

First equation-

2•4y=10

*subtract 2*

4y=8

*divide 4*

y=2

Now that we know the value of y, let’s substitute that into the second equation.

2•4y= -10

2•4(2)= -10

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16= -10

When solved, these equations produce a result where both sides do not equal each other. 16 does not equal -10, making this have no solution.

This is your answer! Hope this helps comment below for more questions :)

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3 years ago

3/4 of a number is 24. What's the number?

Lady_Fox [76]

Hi

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3 years ago

The equation y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?

babunello [35]

Answer:

Step-by-step explanation:

y-intercept is the y-value when x = 0

y - 3 = -2(0 + 5)

y - 3 = -2(5)

y = -7

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