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3 years ago

If you want 10 points answer this its easy

Mathematics

1 answer:

alexgriva [62]3 years ago

6 0

Answer:

1; 3; 9; 27, 81

-15; -8; -1; 6; 13

1/2; 1/4; 1/8; 1/16; 1/32

Step-by-step explanation:

Hope This Helps!

Thanks For the 5 points ; )

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Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9

faust18 [17]

Answer:

-5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...

-5 with multiplicity 3
+9 with multiplicity 2
-1

4 0

3 years ago

Ram noticed three students used 1 2/10 dm of tape.what was the total used for three students???

OLga [1]

Answer:

18/5

Step-by-step explanation:

From my understanding, this is 1 whole 2 upon 10

Step 1: Convert mixed fraction into fraction

Multiply whole number by denominator: 1 x 10 = 10

Add numerator: 10 + 2 = 12

Write the result as the numerator and use the same denominator.

12/10

Step 2: Find the total tape used

From my understanding, each student used 12/10 of the tap

So 3 students used: 12/10 x 3 = 18/5

Therefore, the total tape used for three students was 18/5.

7 0

3 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

Divide using long division. <img src="https://tex.z-dn.net/?f=%282x%5E%7B3%7D%20%2B5x%5E%7B2%7D%20%20-7x%2B6%29" id="Tex

babunello [35]

Answer:

The quotient = 2x - 1 and the remainder = 4x + 2

Step-by-step explanation:

$\frac{2x^{3}+5x^{2}-7x+6}{x^{2}+3x-4}=2x+\frac{-x^{2}+x+6}{x^{2}+3x-4}$

$\frac{-x^{2}+x+6 }{x^{2}+3x-4}=-1+\frac{4x+2}{x^{2}+3x-4}$

The quotient = 2x - 1 and the remainder = 4x + 2

3 0

3 years ago

ΔABC was dilated from point A to get ΔADE. Find the length of AD given a scale factor of 4.

rewona [7]

Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:

$\frac{AD}{AB}=4$

The, by substituting the given information, we have

$\begin{gathered} \frac{6x-8}{x+2}=4 \\ \end{gathered}$

By multiplying both sides by x+2, we get

$6x-8=4(x+2)$

which gives

$6x-8=4x+8$

Then, by subtracting 4x to both sides, we have

$2x-8=8$

and by adding 8 to both sides, we obtain

$2x=16$

then, x is given by

$x=\frac{16}{2}=8$

Then, by substitutn

6 0

1 year ago

If you want 10 points answer this its easy​

If you want 10 points answer this its easy