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erma4kov [3.2K]
3 years ago
12

Determine all the zeros of p(x)=x^4-9x^2+20

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

ANSWER

Real roots

x=5

x=7

Complex roots

x=2+3–√i≈2.0+1.73205080756888i

x=2−3–√i≈2.0−1.73205080756888i

Step-by-step explanation:

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Slope =<br> ; y-intercept = -3
Goshia [24]

Question is incomplete Let assume the Slope = 2

Answer:

Therefore the Equation of line is

y=2x -3

Step-by-step explanation:

Given:

Slope = 2 ( Assumption )

y-intercept = -3

To Find:

Equation of Line in Slope-intercept form

Solution:

Equation of Line in Slope-intercept Form is given as

y=mx+c

Where,

m=Slope\\c=y-intercept

So, substituting Slope =2 and y-intercept = -3 in above we get

y=2\times x -3 Which is the Required Equation of line

Therefore the Equation of line is

y=2x -3

8 0
3 years ago
PLS HELP!!! There are 42 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month, 2/7 of the rem
Eva8 [605]

Answer:

0.5

Step-by-step explanation:

42 divided by 2/3 = 7

7 divided by 2/7 = 0.5

8 0
3 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

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3 years ago
A rabbit population is modeled by y = StartFraction 20 Over 1 + 4 e Superscript negative 0.5 t Baseline EndFraction, where y is
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Why even ask the question if you know the answer??
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