All categories

2 years ago

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?

Mathematics

1 answer:

laiz [17]2 years ago

3 0

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

$x^2-3x-7x+21$ which simplifies to

$x^2-10x+21$ and we distribute in the 4:

$4(x^2-10x+21)$ to get

$4x^2-40x+84$ which is another way to write the last choice you're given.

You might be interested in

Graph a line with a slope of 1/4 that contains the point (6, 3).

Semenov [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a line in point slope form is

$y-y1=m(x-x1)$

we have

$(x_1,y_1)=(6,3)$

$m=\frac{1}{4}$

substitute

$y-3=\frac{1}{4}(x-6)$

The easiest way to graph a line is to calculate the intercepts

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0-3=\frac{1}{4}(x-6)$

$-12=(x-6)$

$x=-12+6=-6$

The x-intercept is the point (-6,0)

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y-3=\frac{1}{4}(0-6)$

$y-3=-\frac{3}{2}$

$y=-\frac{3}{2}+3$

$y=1.5$

The y-intercept is the point (0,1.5)

Plot the intercepts and join the points to graph the line

(-6,0) and (0,1.5)

The graph in the attached figure

8 0

2 years ago

What is the equation of a line that is perpendicular to the x-axis and passes through (3,-2)

34kurt

Answer:

x = 3

Step-by-step explanation:

we know that if we have an original line and we are finding the perpendicular we know that the slope of the second line is gonna be the negative reciprocal of the first line and given that we know it must be perpendicular to the original line it will be heading downwards on the y axis with no slope so instead of y equals it will be x equals and we know that our x value of the point given is three so the answer is x = 3

4 0

2 years ago

Read 2 more answers

I need help with math

frutty [35]

Answer:

I think it may be C? I used desmos to graph it but I'm not 100%

4 0

2 years ago

A number r is more than 0 or less than or equal to ‐8

Butoxors [25]

Answer

-8 $\geq$ r > 0

Step-by-step explanation:

you know that r is less than or equal to -8, so you write that, and then you know that r is also greater than 0, so then you add that to it, and then you have the answer. r will be in the middle because it is the range of what are can be.

7 0

2 years ago

Which of the following is an arithmetic sequence

kodGreya [7K]

Answer:

First one.

-3 is added to the previous term.

4 0

2 years ago

Read 2 more answers