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2 years ago

Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2

Mathematics

1 answer:

HACTEHA [7]2 years ago

7 0

Answer:

x^4 - 2x^3 - 29x^2 - 42x

Step-by-step explanation:

Equal all the zeros to x then move them over.

x=7,x=-3,x=0,x=-2

x-7,x+3,x+0,x+2

Then multiply each factor

(x-7)(x+3)(x)(x+2)

x^4 - 2x^3 - 29x^2 - 42x

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Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at

Kitty [74]

Answer: c

Step-by-step explanation:

5 0

3 years ago

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Solve for e.<br><br> 4/3=-6e-5/3

cricket20 [7]

Answer:

e = 1/2

Step-by-step explanation:

to solve foe e in this 4/3=-6e-5/3

solution

4/3=-6e-5/3

4/3 + 5/3 = 6e

find the lcm of the left hand side

4 + 5/3 = 6e

9/3 = 6e

cross multiply

3 x 6e = 9 x 1

18e = 9

divide both sides by the coefficient of e which is 18

18e /18 = 9/18

e = 1/2

therefore the value of e in the expression above is evaluated to be equals to 1/2

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3 years ago

Y=3/4 x-4

pochemuha

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

$y = \frac34x - 4$

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

$y = \frac{3}{4x-4}$ or $y = \frac{3}{4x} - 4$

However, those are more complex so I'm hoping for the first one... ;-)

8 0

3 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

3 years ago

What is the equation for the line of reflection that maps the trapezoid onto itself?

kvv77 [185]

The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.

6 0

3 years ago

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