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2 years ago

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

Mathematics

1 answer:

NISA [10]2 years ago

3 0

Answer:

f(x) = 4x² - 40x + 84

Step-by-step explanation:

4(x - 7)(x - 3) = 0

4(x² - 3x - 7x + 21) = 0

4(x² - 10x + 21) = 0

4x² - 40x + 84 = 0

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Use the graph or table to write a linear function. <br> PLLLSS HELP This is due tmrww!!

Lelechka [254]

Answer:

in bold

Step-by-step explanation:

M is the slope and b is the y intercept

1 looks correct

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3. Chose 2 points: I chose (2,9) and (0,5) Find slope: 4/2=2 y=mx+b y=2x+5

4. Chose 2 points: I chose (0,-2) and (2,-3) Find slope: 0--3/-2-2=3/-4 y=mx+b y=-3/4x-2

6 0

2 years ago

Read 2 more answers

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

. Laser tag costs $35 per game. The laser tag fans want to play more than 1 game of laser tag. Write an expression to help you f

8_murik_8 [283]

Let x represent the amount of games played.

When x is used, it need to be multiplied by the price ($35).

x(35) = cost in $

Hope this helped :)

3 0

2 years ago

Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing

olga_2 [115]