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3 years ago

The linear factors of the cubic are

Mathematics

2 answers:

likoan [24]3 years ago

7 0

Answer:A

Step-by-step explanation:

Alex Ar [27]3 years ago

5 0

Answer:

The linear factors of the cubic are

✔ (x – 2)(x – 3)(x – 5)

To solve for the leading coefficient, use

✔ –5 = a(0 – 2)(0 – 3)(0 – 5)

a =

✔ 1/6

Write the function:

f(x) =

1/6 x3 – 5/3x2 + 31/6 x – 5

Step-by-step explanation:

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A windowpane is 12 inches by 5 inches. What is the distance between opposite corners

Finger [1]

12^2+5^2=144+25=169
x=13

7 0

2 years ago

A line is drawn through (-7, 11) and (8, -9). The equation

Oduvanchick [21]

Answer:

$4x+3y=5$

$y=-\frac{4}{3}x+\frac{5}{3}$

Step-by-step explanation:

we have the points

(-7, 11) and (8, -9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-9-11}{8+7}$

$m=-\frac{20}{15}$

Simplify

$m=-\frac{4}{3}$

Write the equation in point slope form

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

we have

$m=-\frac{4}{3}$

$point\ (-7, 11)$

substitute

$y-11=-\frac{4}{3}(x+7)$

Convert to standard form

we have

$y-11=-\frac{4}{3}(x+7)$

Multiply by 3 both sides

$3y-33=-4x-28\\4x+3y=5$

Convert to slope intercept form

we have

$y-11=-\frac{4}{3}(x+7)$

Isolate the variable y

$y=-\frac{4}{3}x-\frac{28}{3}+11$

$y=-\frac{4}{3}x+\frac{5}{3}$

8 0

3 years ago

Take 9 from 6, 10 from 9, 50 from 40 and leave 6. What is the answer?

tekilochka [14]

Take 9 from 6 = -3
Take 10 from 9 = -1
Take 50 from 40 and leave 6 = -4

7 0

3 years ago

Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to th

Lunna [17]

Step-by-step explanation:

The constant of proportionality is the ratio of the cost to the number of pounds of walnuts. In other words, it is the price of one pound of walnuts.

$10.92 / 4 lb = $2.73 / lb

6 0

3 years ago

Complete the square to factor X^2 +10X=-8

ella [17]

Answer: $x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$

Step-by-step explanation:

Alright, lets get started.

The given equation is :

$x^{2} +10x = -8$

Adding 8 in both sides, it will become

$x^{2} +10x + 8 = -8 +8$

$x^{2} +10x + 8 = 0$

To make it perfect square, we need to add 25 and subtract 25

$x^{2} +10x + 8 +25-25= 0$

$x^2+10x+25+8-25=0$

$(x+5)^2+8-25=0$

$(x+5)^2-17=0$

Adding 17 in both sides

$(x+5)^2=17$

taking square root

$x+5=\sqrt{17}$

So,

$x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$ .. Answer

Hope it will help :)

7 0

3 years ago

Read 2 more answers