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3 years ago

If c(x)=4x-2 and d(x)= x^2+5x what is (c*d)(x)

2 answers:

7 0

$c(x)=4x-2\\d(x)=x^2+5x\\\\(c\times d)(x)\\=(4x-2)(x^2+5x)(x)\\=4x^3+20x^2-2x^2-10x(x)\\=4x^3+18x^2-10(x)$

If I understood correctly

zlopas [31]3 years ago

7 0

(c*d)(x)=(<span>4x-2)(x²+5x)=4x³-2x²+20x²-10x=4x³+18x²-10x</span>

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I NEED URGENT ASSISTANCE

Nata [24]

Answer:

<em>8 C sometimes</em>

Step-by-step explanation:

<u>Algebraic Operations </u>

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

<em>Answer: C sometimes </em>

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

Which of the following functions is graphed below?

svetoff [14.1K]

<h3>Answer:</h3>

C (see attached)

<h3>Step-by-step explanation:</h3>

The linear portion of the graph is defined for x ≥ 1, with the point x=1 included. Only selections A and C do that.

The quadratic portion of the graph is defined for x < 1. Only selection C does that. (Selection A is doubly-defined for x > 1, so is not a function. It is undefined for x < 1.)