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zalisa [80]
1 year ago
13

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,Consider the functions given below.P(x) =

2Match each expression with its simplified form--2120 - 5)(35 1)(-35 + 2)-31 + 2(3-1)2(125 + 1)(3r - 1)-36 + )3/3 - 1)-3 +2(36 –221)-3 + 2)2/05 - 1(3r - 1)-3 + 2)P(s) + Q(*Ps). Q$)

Mathematics
1 answer:
bearhunter [10]1 year ago
3 0

Solution

we are given

\begin{gathered} P(x)=\frac{2}{3x-1} \\ Q(x)=\frac{6}{-3x+2} \end{gathered}

(a). P(x) / Q(x)

\begin{gathered} P(x)\div Q(x)=\frac{2}{3x-1}\div\frac{6}{-3x+2} \\ P(x)\div Q(x)=\frac{2}{3x-1}\times\frac{-3x+2}{6} \\ P(x)\div Q(x)=\frac{-3x+2}{3(3x-1)} \end{gathered}

(b). P(x) x Q(x)

\begin{gathered} P(x)\cdot Q(x)=\frac{2}{3x-1}\times\frac{6}{-3x+2} \\ P(x)\cdot Q(x)=\frac{12}{(3x-1)(-3x+2)} \end{gathered}

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Please help me! This is due tomorrow and I really need some help! Thank you.
ad-work [718]

Answer:

A

Step-by-step explanation:

35 + 40 + 50 = 125

35/125 = 0.28

7 0
3 years ago
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
erma4kov [3.2K]

Answer:

y =  x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

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8 0
3 years ago
Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.
34kurt

<u>Answer:</u>

○ y = \frac{1}{4}x - \frac{1}{2}

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

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

m = \frac{y_2 - y_1}{x_2 - x_1}

where:

m = gradient,

(x_2, y_2) and (x_1, x_2) = points on the line.

Using the formula:

m = \frac{1 - 0}{6 - 2}

⇒ m =\bf \frac{1}{4}

Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:

\boxed{y - y_1 = m(x - x_1)}

You can use any of the points on the line as y_1 and x_1.

Using (2, 0):

y - 0 = \frac{1}{4}( x - 2)

⇒ y = \frac{1}{4}x - \frac{1}{2}

Therefore the equation of the line is y = \frac{1}{4}x - \frac{1}{2}.

Learn more about point-slope form at:

brainly.com/question/15143525

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If one of our zeros is 4, then the factor is x-4.  If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i.  So our 3 factors are (x-4)(x+5i)(x-5i).  We will FOIL out these factors to get the polynomial.  Let's start with the ones that contain the imaginary numbers.  Doing that mutliplication we get x^2-25i^2.  i^2 is equal to -1, so what that expression simplifies down to is x^{2} +25.  Now we will multiply in that last factor of (x-4):  (x^2+25)(x-4).  FOILing out we have x^3-4x^2+25x-100.  There you go!
3 0
3 years ago
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