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vredina [299]
3 years ago
11

Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}

Step-by-step explanation:

\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9

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why does a truck take longer to accelerate to 100km/hr when its pulling a 1,000 kg trailer than when it isn't
Bingel [31]
Because it has more mass so with less mass it accelerates faster. That is newtons 2nd law of motion.
7 0
3 years ago
Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?
patriot [66]
<span>Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

If we want to get a full understanding of this question we must use the information given.

If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.

</span>\frac{80}{2}=40

or $40

We can also use $160 and 4 hours

\frac{160}{4}=40

or $40

So the rate per hour is $40

8 0
3 years ago
Read 2 more answers
Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co
masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

B_{A}=1oz @ 35\%, wich means Brand A has 1 oz containing 35% peanuts.

B_{B}=1oz @ 25\%, wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) B_{a}+B_{b}=21

(2)0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21, after fixing it a little

(2)0.35B_{a}+0.25B_{b}=6.09

As we can use any method to solve the system, I used a calculator wich thrown the following results B_{a}=8.4 \ oz and B_{b}=12.6 \ oz.

4 0
2 years ago
A pair of pants on sale for 25% off if they're original price was $40 what is the new sale price
notsponge [240]
The answer should be $30 cause it's only 25% off
6 0
2 years ago
What does the algebraic representation (x,y) → (-x, y) represent?
torisob [31]

Answer:

The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.

Step-by-step explanation:

We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.

Thus, the rule of reflection of a point P(x, y) across y-xis is:

P(x, y) → P'(-x, y)

For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:

A(1, 2)  → A'(-1, y)

In our case, we are given the  algebraic representation

(x,y) → (-x, y)

Here:

  • The x-coordinate changes/reverses its sign
  • The y-coordinate stays the same.

Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.

6 0
2 years ago
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